graph one cycle of the given function. state the period , amplitude,.pdf

•

0 likes•2 views

graph one cycle of the given function. state the period , amplitude, phase shift, and vertical shift of the function 7. y=-1/3 cos (1/2x+pi/3) 11. y=-3/2cos (2x+pi/3) - 1/2 Solution 7.) y = A sin(Bx + C) + D Amplitude = -1/3 Period= 2pi/(1/2)=4*3.14=12.56 phase shift = - (pi/3)/0.5=-2pi/3 vertical shift= 0.

Education

More from archanadesignfashion

Alan Homes serves on the board of directors of Flynn Company. The president of Flynn told him that in three weeks the corporation would announce a 25% increase in dividends. Alan called his neighbor to tell him to buy some stock. The neighbor told his friend about the stock, and that friend told him that Alan was acting unethically. The neighbor called Alan back, and Alan told him that no one would know the difference, that in business this happens all the time, and that he shouldn\'t be left out. Do you think Alan\'s behavior is appropriate? Write down your recommendation to Allen\'s neighbor. Solution My recommendation to Allen\'s neighbor is not to buy the stock and reasons for this are given below:- 1- If a company 25% increase in dividend that does not gaurantee of company\'s growth in terms of funds and share value. 2- The dividend paid to customers can not be utilized for growth of the business. 3- After paying high dividends Flynn has minimum money to growth the funds. 4- Investors will have to pay the tax on 25% dividend value received because dividends are taxable article. 5- Dividends are not gauranteed income forever although it can be stopped any time by Flynn company. 6- Dividends always have a broad effect on equity rates if any time dividends are cancelled then share price will increase at a higher rate and investors will definately loose his/her shares due to minimum dividend pay out. 7- Only focusing on high dividend paying comapnies like Flynn will cut the maximum chances of additional new investment in market in terms of profit gaining. Conclusion:- In my opinion Allen\'s behavior is not appropriate because of not thinking/Analysing about profitability,overall debt management, liquidity ratios, asset management, cash flow( in last 5 years) and long term investment plans of Flynn Company. All these things mentioned above are very important for any investor to gain long term benefits from Dividends..

Alan Homes serves on the board of directors of Flynn Company. The pr.pdf

archanadesignfashion

Two genes (A and B) are located 10cM apart on the X chromosome. A woman is homozygous for recessive mutant alleles for both genes. She has children with a wild-type man who is homozygous for both genes. What proportion of their children are expected to show wild-type phenotype for both genes? 100% 95% 0% 5% 50% Solution D.5% Homozygous dominant = p2 = 0.25 Homozygous dominant = q2 = 0.25 children 2pq = 0.5 Now the homozygous make up 2/3 of the surviving population, so the recessive allele makes up 1/3 of the total alleles in the population. 2pq = 0.5 or 5%.

Two genes (A and B) are located 10cM apart on the X chromosome. A wom.pdf

archanadesignfashion

q2.4) Listed are elements of the financial statements discussed in this chapter. Match each element with the descriptions (use each as many times as necessary) (Click the icon to view the elements.) Debts of the company Economic resources with future benefit Elements V Inflows of assets from delivering or producing goods or services | Things of value a company owns VThe residual interest in the assets of an entity that remains after deducting its liabilities | The difference between what the company has and what the company owes V The owners\' interest in the company | outflows or using up of assets from delivering or producing goods and services 3 4 a. Assets b. Liabilities c. Shareholders\' equity d. Revenues e. Expenses Costs that have no future value PrintDone 10. The amount the company owes | Sales Solution Debts of a company Liabilities Economic resources with future value Assets inflows of asset from delivering products or services Revenue Things of value a company owns Assets A residential interest in the assets of the entity that remains after deducting its liabilities Shareholders equity The difference between what company has and what company owes Shareholders equity The owners interest in the company Shareholders equity Outflows or using up of assets from delivering or producing goods and services Expenses Costs that have no future value Expenses The amount the company owes Liabilities Sales Revenues Debts of a company Liabilities Economic resources with future value Assets inflows of asset from delivering products or services Revenue Things of value a company owns Assets A residential interest in the assets of the entity that remains after deducting its liabilities Shareholders equity The difference between what company has and what company owes Shareholders equity The owners interest in the company Shareholders equity Outflows or using up of assets from delivering or producing goods and services Expenses Costs that have no future value Expenses The amount the company owes Liabilities Sales Revenues.

q2.4) Listed are elements of the financial statements discussed in t.pdf

archanadesignfashion

Programming code in C must be C loops reque.pdf

archanadesignfashion

Please find the solution. Thanks 4. As the value of increases fro.pdf

archanadesignfashion

Please help! Both answers must be in long paragraph form 1. Explain in detail Where did the chloroplast organelle come from, what is it\'s \"origin story\", what evidence supports this idea originally developed by Lynn Margulis? 2. Explain in detail What is the importance of chloroplasts to living things other than plants? What are products they make, and how did one of the waste products generated change the history of the planet earth? Solution Ans 1: Chloroplast Origin: The credit for discovery of this organelle goes to Julius Von Sachs. In Year 1837, German botanist Hugo von Mohl provided the first definitive description of the chloroplast, which is descrite bodies within the green plant cell. Later, The name was changed to plastid by A.F. W Schimper in 1883. By the end of 19th century chloroplast name was accepted in scientfic community worldwide to the cell- organelle which is green color found in plant tisuue. One major discovery was also found by schimper that chloroplast are capable of division. He suggest that origin of green pant was possibly by symbiotic relationship between chlorophyll containing and colorless organism. Another important observation was made by A. meyer in 1883 that chloroplast contain grana. Chloroplast are only found in green plant,algae etc. Green Color present in plant is only due to chloroplast. Lynn Margulis was a evolutionist, she suggest that photosynthesis process which occur in plant due to symbiosis relationship between plant cell and bacteria,which reside permanently there, by which chloroplast capture sunlight energy undergoes biochemical reaction including combination of water and carbon di oxide to make organic matter. Margulis symbisis thought of evolution of eukaryotic cell was published in \" The Origin of Eukaryotic Cells.\" Ans 2 : Importance of chloroplast is in the process of photosynthesis take place in algae, which is also eukayotes. Many are unicellular, but sometimes they can live in large colonies that may even look like plants. Cynobacteria are prokaryotes contain double outer membrane and thylakoid membrane system for the process of photosyntheis. Cyanobacteria also use the Calvin cycle to fix carbon dioxide in the same way as plants and algae. Both of the above organism perform oxygenic photosynthesis. similar way green sulphur, green non sulphur and heliobacteria use choloroplast for the process of photosynthesis. Two and a half billion years ago, single-celled organisms called cyanobacteria harnessed sunlight to split water molecules, producing energy to power their cells and releasing oxygen into an atmosphere that had previously had none. These early environmental engineers are responsible for the life we see around us today. Oxygen which is one of the waste product generated during photosynthesis change the history of the planet earth and all the higher level living organism are able to live their life easily..

Please help! Both answers must be in long paragraph form1. Explain.pdf

archanadesignfashion

\"Life\" is easy to recognize but difficult to define. According to one popular biology text, living things: 1- are highly organized compared to natural inanimate objects 2- display homeostasis, maintaining a relatively constant internal environment 3- reproduce themselves 4- grow and develop from simple beginnings 5- take energy and matter from the environment and transform it 6- Respond to stimuli 7- Show adaptation to their environment Score a person, a vacuum cleaner, and a potato with respect to these characteristics Solution Vacuum cleaner is an inanimate object. It is highly organized when compared to natural inanimate objects. Potato is natural life containing object that takes energy and matter from environment and transform it. It grow and develop from simple beginnings. It reproduces and show adaptation to the environment. Person displays homeostasis, maintaining a relatively constant internal environment, reproduce themselves, take energy and matter from the environment and transform it, respond to stimuli and show adaptation to their environment. Person is highly ranked than potato. Potato is highly ranked than inanimate object.

Life is easy to recognize but difficult to define. According to .pdf

archanadesignfashion

Let I, J be ideals in a ring R. Prove that I J is also an ideal of R.pdf

archanadesignfashion

Imagine that one of the segments in Drosophila is T2, which will form the wing, and that two of the cells in that segment will become the wing disk, and form the entire wing during pupation. Which two cells must this be? Describe them in terms of their gene expression: are they cells that express \"engrailed + hedgehog only\", \"patched only\", or \"patched + wingless only\"? Solution Answer: The effects of a total lack of engrailed function in the wing has revealed three different requirements for engrailed during wing development. 1. It has a late role in patterning the wing margin, which includes cells within the anterior compartment. 2. it is involved in the cell-cell interactions that maintain the expression of the decapentaplegic gene along the antero-posterior compartment boundary. Decapentaplegic, in turn, controls growth through a mechanism that depends on the activity of the gene hedgehog, and the maintenance of the compartment boundary depends on these cell-cell interactions. 3. Finally, there is a global requirement for engrailed in the control of growth through a hedgehog-independent mechanism. Thus, they appears to be cells which express engrailed and hedgehog only..

Imagine that one of the segments in Drosophila is T2, which will for.pdf

archanadesignfashion

If the Social Security retirement system was a private retirement system, it would be declared bankrupt. Discuss why this is so and why the Social Security system can continue to pay benefits despite the fact that it can be considered bankrupt. Discuss why the Social Security tax rate has increased so much in recent years. What measures could be taken to reduce the Social Security payroll tax rate? Solution Social Security System Definition- A system of federally funded services and payments to help support the needy ,the aged and the temporarily unemployed as well as providing support for needy, dependent, disabled ,or neglected children, rehabilitation for the disabled ,and a host of other social services. The system was established as part of the new Deal and is funded by payroll taxes paid by workers and employers. Social Security is funded through payroll taxes called Federal insurance contributions Act Tax(FICA) or self employed contributions Act(SECA).Tax deposits are collected by the internal revenue service(IRS) and are formally entrusted to the Federal Old –Age and survivors insurance Trust Fund,the Federal Disability insurance Trust Fund,the Federal Hospital insurance trust Fund,or the fedral supplementary medical insurance trustFund which make up the social Security Trust Funds.with a few exceptions ,all salaried income ,up to an amount specifically determined by law has a FICA or SECA tax collected on it .All income over said amount is not taxed ,for 2015 the maximum amount of taxable earning is $118,500 Social Security\'s financial situation hasn\'t changed much since last year, according to the annual Trustee\'s Report released last week. · There is enough money in the Social Security trust fund to pay full retirement benefits through 2033. After that, payroll taxes at current levels will bring in about 75 percent of the money required to pay Social Security\'s obligations. What measures could be taken to reduce the Social Security payroll tax rate? America\'s Social Security system is in serious trouble. Payroll tax rates have been increased 17 times in the past 40 years, yet promised benefits exceed projected revenues by trillions of dollars. Moreover, Social Security has become an increasingly bad deal for American workers who must pay record high taxes to a system that provides only meager levels of income for their retirement years. Even worse, there is no way to fix the current system to remedy these problems. Additional payroll taxes or benefit reductions would address the massive long-term deficit, but only by making the system an even poorer investment for working Americans; and raising benefits or cutting taxes, both of which could improve the rate of return for workers, would catapult Social Security into bankruptcy even sooner. The only answer to these seemingly intractable problems is to privatize the Social Security system. Countries around the world, including Chile, Australia, Mexico, Singapore, and Great Britai.

If the Social Security retirement system was a private retirement sy.pdf

archanadesignfashion

Identify the following reaction: Glucose + Fructose rightarrow Sucrose + Water dehydration synthesis reaction hydrolysis reaction exchange reaction reversible reaction ionic reaction Solution Identify the following reaction: Glucose + Fructose Sucrose + Water A) Dehydration synthesis reaction --------answer B) Hydrolysis reaction C) Exchange reaction D) Reversible reaction E) Ionic reaction explanation: Dehydration synthesis : it is the process joining two particles, or mixes, together after the evacuation of water. the word dehydration, the primary thing that may come out is \'losing water\' or \'lacking water.\'.

Identify the following reaction Glucose + Fructose rightarrow Sucros.pdf

archanadesignfashion

identify the developmental genes that influence macroevolution Solution Developmental genes are the regulatory genes that regulate hundreds of genes of development and even a small genetic change in these genes leads to major structural changes in the organisms. These are the genes that distinguish one species from other species. These genes regulate the shape, pattern and type and location of organs of animal body. For ex: Hox genes serve to regulate the formation of particular regions of the body by encoding the related transcription factors and thereby regulate the fate of regions of body. Homeotic genes determine the future development of segments on the basis of the pattern of expression of the segmentation genes before them. Mutation in these genes leds to development of that segment to an adjacent segment, usually anterior to it. These genes are also called memory genes as they regulate developmental fate of a segment which is followed from one cell division to the next..

identify the developmental genes that influence macroevolutionSo.pdf

archanadesignfashion

I need answer to those questions please ASAP I\'m stuck D Question 12 0.5 pts After the first round of replication, Meselson and Stahl found that all the DNA were of intermediate density indicating that the DNA molecules were made up of a hybrid of N15 (aka 15-N, or heavy isotope of N) and N14 (aka 14-N, or light isotope of N). How did they determine that the correct model of DNA replication was semi- conservative and not dispersive? Recap of Meselson and Stahl\'s experiment: https utube.com/watch?V 4gdWOWiioBE 1799: H O Because if it had been the dispersive model, after the first round of replication half the DNA would have been heavy and half would have been light. O After the second round, half the DNA were of low density and half the DNAwas of intermediate density after the second round of replication, all the DNA were were of intermediate density O after the second round, half the DNA were of high density and half the DNA were of low density. Solution Question 12 How did they determine that the correct model of DNA replication was semi conservative and not dispersive? After the second round, half the DNA was of low density and half the DNA was of intermediate density Explanation After conducting the experiment, they came to a conclusion that After first generation, they obtained DNA molecules of intermediate density After second generation, they obtained DNA, in which half is intermediate and other half is light. This supports the fact the replication if of semi-conservative type. After first generation, when DNA labeled with 15N will act as template for the synthesis of new strands, the obtained two strands will have one strand of 15N and other strand of 14N, resulting in intermediate density. But in second generation, when these N15-14N strands act as template, you will get four double strands, 2 strands with 15N-14N, 2 strands with 14N-14N, giving you Question 14: Answer is B It will have two double-stranded DNA of intermediate density and two double-stranded DNA of light strands at the end of second generation. Question 15 DNA replication is dispersive That is the reason why one clump is regular whitish color, if the replication is semi conservative then this lump should be intermediate glowing green in color due to the present of altered form of nitrogen. Question 16 Answer is a The resulting strands will be light and heavy; you cannot find any intermediate strand as here the two newly synthesized strands after one round of replication will form double helix, whereas the old two strands will remain together as one double strand..

I need answer to those questions please ASAP Im stuck D Question 1.pdf

archanadesignfashion

How can you verify Euler\'s formula for this net of a cube? Solution According to Euler\'s formula For any polyhedron that doesn\'t intersect itself, the Number of Faces + the Number of Vertices (corner points) - the Number of Edges = 2 This can be written: F + V E = 2 Faces + Vertices - Edges = 2 This cube has 6 faces, 8 vertices, and 12 edges. Euler\'s formula: 6 + 8 - 12 = 2 14 - 12 = 2 2 = 2 LHS = RHS Hence the euler\'s formula is verified for the given case..

How can you verify Eulers formula for this net of a cube Solu.pdf

archanadesignfashion

home / study / science / biology / questions and answers / 1.cognitive approaches to personality focus on: ... Question: 1.Cognitive approaches to personality focus on: In... Bookmark 1.Cognitive approaches to personality focus on: Intelligence as the basis for personality Differences in how people process information Behavioral differences in response to the environment Anticipation of trauma 2. According to Witkin’s model, the “cognitive controls” that control individual information processing can be observed in: Performance on perceptual/spatial tasks Non-perceptual memory tasks Memory and recall tasks Planning and organizing tasks 3. The concept of emotional intelligence does NOT include which of the following: Impulse control Emotion regulation Social decoding Mind control 4. Little suggests that personality is a function of: Practice Traits Drive states Evolutionary advantage 5. Kelly suggests that reality is: A function of perceptual/spatial organization The result of environmental influences A function of individual construction The result of genetic predisposition 6. Homo sapiens shares approximately what percent of its DNA with chimpanzees: 68% 78% 88% 98% 7. The number of copies of genes passed to future generations is known as: Natural selection Fitness Heritablility Goodness 8. Which of the following would NOT represent a principle of evolutionary psychology: Stone age minds in modern skulls Neural circuitry designed by natural selection Complete consciousness that encompasses all mental experience The laws of physics and chemistry are required to explain current operation 9. Imprinting was explained by: Wilson Reed Kelley Lorenz 10. According to Buss, a wife is more likely to be disturbed by which of the following: Discovering that her husband is in love with another woman Discovering that her husband is in love with another man Discovering that her husband is having sex with another woman Discovering that her husband is having sex with another man 11. According to Buss, a husband is more likely to be disturbed by which of the following: Discovering that his wife is in love with another woman Discovering that his wife is in love with another man Discovering that his wife is having sex with another woman Discovering that his wife is having sex with another man 12. Phineas Gage’s personality was: Mostly intact after his accident Dramatically more docile after the accident Dramatically more aggressive after the accident Dramatically more happy after the accident 13. Hippocrates described pain as being the result of: Defect or excess in yellow bile, black bile, phlegm or blood Absence of yellow bile, black bile, phlegm or blood Balanced yellow bile, black bile, phlegm and blood 14. According to Sheldon, which of the following body types is most likely to have a love of risk: Ectomorph Mesomorph Endomorph None of the above 15. Eysneck suggested that introverts have: A generally underaroused condition A generally overaroused condition.

home study science biology questions and answers 1.cogniti.pdf

archanadesignfashion

Describe how the structure of the DNA double helix was discovered. Explain how DNA ultimately controls the functioning of cells (be specific), and how/why mutations in DNA can disrupt proper functioning. In chapter 2 you learned that the function of DNA and RNA is \"information storage.\" Using what you\'ve teamed in Chapter 5, describe in detail the specific functions of DNA and RNA. Explain the process of transcription. Explain the process of translation. Briefly describe three types of mutations and explain how certain mutations can be unrecognizable in an organism while others may have disastrous consequences. Summarize three ways that genetic engineering is being used in agriculture. Explain three concerns regarding the use of GMO\'s in agriculture How has genetic engineering technology been directly applied to human health (most agriculture applications are indirect)? Has it been successful? How are goals used to make medicine? Solution 1 The function of DNA? depends to a large extent on its structure. The three-dimensional structure of DNA was first proposed by James Watson and Francis Crick in 1953. It is one of the most famous scientific discoveries of all time. James and Francis used evidence shared by others, particularly Rosalind Franklin and Maurice Wilkins, to determine the shape of DNA. Rosalind worked with Maurice at King\'s College London. She beamed X-rays through crystals of the DNA molecule and then used photographic film to record where the scattered X-rays fell. The shadows on the film were then used to work out where the dense molecules lie in the DNA. This technique is called X-ray diffraction. The DNA crystals resulted in a cross shape on the X-ray film which is typical of a molecule with a helix shape. The resulting X-ray was named Photograph 51 and Maurice shared it with James and Francis. In 1953 James Watson and Francis Crick published their theory that DNA must be shaped like a double helix. A double helix resembles a twisted ladder. Each \'upright\' pole of the ladder is formed from a backbone of alternating sugar and phosphate groups. Each DNA base? (adenine, cytosine, guanine, thymine) is attached to the backbone and these bases form the rungs. There are ten \'rungs\' for each complete twist in the DNA helix. James and Francis suggested that each \'rung\' of the DNA helix was composed of a pair of bases, joined by hydrogen bonds?. According to Erwin Chargaff’s rules, A would always form hydrogen bonds with T, and C with G. 2 - It is not the DNA itself that controls cellular functions, it is the proteins that are coded by the DNA. The nucleotide sequences that make up DNA are a “code” for the cell to make hundreds of different types of proteins; it is these proteins that function to control and regulate cell growth, division, communication with other cells and most other cellular functions. This is why DNA is said to “carry” or “store” information in the form of nucleotide sequences. The sequences need to be “d.

Describe how the structure of the DNA double helix was discovered. E.pdf

archanadesignfashion

Explain principle of single nanoparticle devices using carbon nanoelectronics examples. Solution Answer : Nanomaterials describe, in principle, materials of which a single unit is sized (in at least one dimension) between 1 and 1000nanometres (109 meter) but is usually 1—100 nm (the usual definition of nanoscale). Nanomaterials research takes a materials science-based approach to nanotechnology, leveraging advances in materials metrologyand synthesis which have been developed in support of microfabrication research. Materials with structure at the nanoscale often have unique optical, electronic, or mechanical properties. Nanotechnology is the engineering of functional systems at the molecular scale. This covers both current work and concepts that are more advanced. In its original sense, nanotechnology refers to the projected ability to construct items from the bottom up, using techniques and tools being developed today to make complete, high performance products. One nanometer (nm) is one billionth, or 109, of a meter. By comparison, typical carbon-carbon bond lengths, or the spacing between these atoms in a molecule, are in the range0.12–0.15 nm, and a DNA double-helix has a diameter around 2 nm. On the other hand, the smallest cellular life-forms, the bacteria of the genus Mycoplasma, are around 200 nm in length. By convention, nanotechnology is taken as the scale range 1 to 100 nm following the definition used by the National Nanotechnology Initiative in the US. The lower limit is set by the size of atoms (hydrogen has the smallest atoms, which are approximately a quarter of a nm diameter) since nanotechnology must build its devices from atoms and molecules. The upper limit is more or less arbitrary but is around the size that phenomena not observed in larger structures start to become apparent and can be made use of in the nano device.[16] These new phenomena make nanotechnology distinct from devices which are merely miniaturised versions of an equivalent macroscopicdevice; such devices are on a larger scale and come under the description of microtechnology. Nanoelectronics refer to the use of nanotechnology in electronic components. The term covers a diverse set of devices and materials, with the common characteristic that they are so small that inter-atomic interactions and quantum mechanical properties need to be studied extensively. Some of these candidates include: hybrid molecular/semiconductor electronics, one- dimensionalnanotubes/nanowires, or advanced molecular electronics. Recent silicon CMOS technology generations, such as the 22 nanometernode, are already within this regime. Nanoelectronics are sometimes considered as disruptive technology because present candidates are significantly different from traditional transistors..

Explain principle of single nanoparticle devices using carbon nanoele.pdf

archanadesignfashion

Describe the structure of CFTR. You must provide a written description for full credit. A picture on its own is not enough. A picture with a description is acceptable. (5 points) What is the function of CFTR? (details are important) (5 points) Why is the mucus thicker than normal in CF patients? A good answer will include a description of how osmosis is affected by CF. (5 points) The most common mutation causing CF is a deletion of F508. What are the cellular consequences of the F508 deletion? (5 points) What are the organismal consequences of the F508 deletion? i.e. how does this mutation affect a human being? (5 points) How would you use gene therapy to treat CF? What problems might the plasma membrane cause for successful gene therapy? (5 points) Solution Describe the structure of CFTR CFTR protein : CFTR : Mutation F508 is a class II CFTR mutation.[ The CFTR protein is to a great extent communicated in cells of the pancreas, intestinal and respiratory epithelia, and every exocrine organ. At the point when appropriately collapsed, it is moved to the cell layer, where it turns into a transmembrane protein in charge of opening channels which discharge chloride particles out of cells; it likewise at the same time hinders the take-up of sodium particles by another channel protein. Both of these capacities help to keep up a particle angle that causes osmosis to coax water out of the cells. The F508 transformation prompts to the misfolding of CFTR and its inevitable debasement in the ER. In life forms with two supplements of the transformation, the protein is totally truant from the cell film, and these basic particle transport capacities are not performed.

Describe the structure of CFTR. You must provide a written descripti.pdf

archanadesignfashion

Convert 8-but two\'s complement hex number 7C to decimal. Solution Hexadecimal representation of 2\'s complement (7C)16 = (0111 1100 )2 its 2\'s complement = 1000 0011 +1 = 1000 0100 it is a negative number as it is in 2\'s complement form ,sign bit(leftmost) is 1 negative numbers can be represented by 2\'s complement calculate its value 1000 0100 1\'s complement = 0111 1011 +1 2\'s complement = 0111 1100 =(124)10 adding sign number = (-124 )10.

Convert 8-but twos complement hex number 7C to decimal.Solutio.pdf

archanadesignfashion

Creative Ideas to teach graphing linear equations I need some help in teaching my students how to graph linear equations. My students all have dyscalcula and it is very difficult for them to catch on to working through the equations. Any suggestions? Solution Hello! Maybe you can try by applying synthetic geometry, being known the fact that people with dyscalculia disability could manage easily science and geometry issues.This kind of geometry( unlike the analytical one, which constructs geometric objects with the artifice of coordinate system) has to do more with euclidian geometry, which implies logic rather than formulae..

Creative Ideas to teach graphing linear equationsI need some help .pdf

archanadesignfashion

More from archanadesignfashion (20)