Day 1 examples u2w14
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There are two systems for measuring angles - one uses degrees as the unit and has no symbol, while the other uses radians denoted by the symbol °. Radians are defined as the ratio of the arc length subtended by a central angle to the radius of the circle, while degrees are used to divide a full circle into 360 equal parts. The document provides examples of converting between degrees and radians, with 1 radian equaling approximately 57.3 degrees.
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Day 2 examples u4f13
This document discusses two systems for measuring angles - one with the unit symbol ° and one without a unit symbol. It defines a central angle as the angle subtended or covered by an arc length given a radius. The document also provides the conversion between radians and degrees, showing that 1 radian is equal to 180/π degrees or approximately 57.3 degrees. It gives examples for converting between radians and degrees.
New day 1 examples
There are two systems for measuring angles: degrees and radians. Degrees have the unit symbol ° while radians are unitless. A full circle is equal to 360° or 2π radians. To convert between the two units, degrees can be converted to radians by multiplying by π/180 and radians can be converted to degrees by multiplying by 180/π.
Interference (15.5)
When two or more electromagnetic waves combine, they form a resultant wave through interference. Constructive interference occurs when waves are in phase, amplifying the total wave. Destructive interference occurs when waves are out of phase, reducing the total wave. The amount of phase difference depends on the path difference between waves - an integer multiple of the wavelength leads to constructive interference, while half-integer multiples lead to destructive interference.
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This document discusses strategies for verifying identities in trigonometry. It notes that verifying identities involves showing that the left-hand side and right-hand side are equal. Common strategies include working with the more complicated side of the identity, writing all terms in terms of basic trig functions like sine, cosine, and tangent, and replacing combinations with simpler expressions or common denominators to show the two sides are equal. The document provides some examples of identities to verify and assigns problems numbers 6 through 12.
New day 5 examples
This document provides the exact coordinates for points on the unit circle corresponding to angles in radians. It gives the coordinates for 0, π/2, π, and 3π/2 radians as (1,0), (0,1), (-1,0), and (0,-1) respectively, based on the definitions of sine and cosine. It then generalizes the coordinates to any multiple of π/2 by using the fact that tan(nπ/2) = ±1. Examples are worked out for finding specific trig values over intervals using the coordinate rules.
Day 9 examples u6f13
Exponential functions involve exponents where the input variable is the exponent. As the input variable increases from left to right on the graph, the output variable also increases, making exponential functions increasing functions. Exponential functions have a domain of all real numbers but a range greater than zero. They are either increasing if the base is greater than one or decreasing if the base is between zero and one, with a horizontal asymptote of y=0.
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The document discusses the benefits of exercise for both physical and mental health. It notes that regular exercise can reduce the risk of diseases like heart disease and diabetes, improve mood, and reduce feelings of stress and anxiety. The document recommends that adults get at least 150 minutes of moderate exercise or 75 minutes of vigorous exercise per week to gain these benefits.
Day 4 examples u2w14
This document discusses multiples of exact angles in degrees and radians. It provides examples of multiples of angles and their values in both degrees and radians. The document also contains a summary table comparing degrees and radians and asks the reader to state the value of positive rotations between 0 and 2 radians.
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Day 2 examples u4f13
This document discusses two systems for measuring angles - one with the unit symbol ° and one without a unit symbol. It defines a central angle as the angle subtended or covered by an arc length given a radius. The document also provides the conversion between radians and degrees, showing that 1 radian is equal to 180/π degrees or approximately 57.3 degrees. It gives examples for converting between radians and degrees.
New day 1 examples
There are two systems for measuring angles: degrees and radians. Degrees have the unit symbol ° while radians are unitless. A full circle is equal to 360° or 2π radians. To convert between the two units, degrees can be converted to radians by multiplying by π/180 and radians can be converted to degrees by multiplying by 180/π.
Interference (15.5)
When two or more electromagnetic waves combine, they form a resultant wave through interference. Constructive interference occurs when waves are in phase, amplifying the total wave. Destructive interference occurs when waves are out of phase, reducing the total wave. The amount of phase difference depends on the path difference between waves - an integer multiple of the wavelength leads to constructive interference, while half-integer multiples lead to destructive interference.
Day 4 examples
This document discusses strategies for verifying identities in trigonometry. It notes that verifying identities involves showing that the left-hand side and right-hand side are equal. Common strategies include working with the more complicated side of the identity, writing all terms in terms of basic trig functions like sine, cosine, and tangent, and replacing combinations with simpler expressions or common denominators to show the two sides are equal. The document provides some examples of identities to verify and assigns problems numbers 6 through 12.
New day 5 examples
This document provides the exact coordinates for points on the unit circle corresponding to angles in radians. It gives the coordinates for 0, π/2, π, and 3π/2 radians as (1,0), (0,1), (-1,0), and (0,-1) respectively, based on the definitions of sine and cosine. It then generalizes the coordinates to any multiple of π/2 by using the fact that tan(nπ/2) = ±1. Examples are worked out for finding specific trig values over intervals using the coordinate rules.
Day 9 examples u6f13
Exponential functions involve exponents where the input variable is the exponent. As the input variable increases from left to right on the graph, the output variable also increases, making exponential functions increasing functions. Exponential functions have a domain of all real numbers but a range greater than zero. They are either increasing if the base is greater than one or decreasing if the base is between zero and one, with a horizontal asymptote of y=0.
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The document discusses the benefits of exercise for both physical and mental health. It notes that regular exercise can reduce the risk of diseases like heart disease and diabetes, improve mood, and reduce feelings of stress and anxiety. The document recommends that adults get at least 150 minutes of moderate exercise or 75 minutes of vigorous exercise per week to gain these benefits.
Day 4 examples u2w14
This document discusses multiples of exact angles in degrees and radians. It provides examples of multiples of angles and their values in both degrees and radians. The document also contains a summary table comparing degrees and radians and asks the reader to state the value of positive rotations between 0 and 2 radians.
New day 3 examples
Permutations involve arranging objects or letters in a definite order. The number of permutations of n objects taken r at a time is written as nPr. To calculate nPr, use the formula nPr = n!/(n-r)!. Permutations are used to calculate possibilities like license plate numbers, phone numbers, and locker combinations. When objects are identical, the number of permutations is divided by the factorial of the number of identical objects.
Day 1 examples u3w14
This document provides instructions for solving different types of exponential equations: equations where the unknown is the answer, the unknown is the base, or the unknown is the exponent. It also mentions using logs to solve exponential equations.
Day 2 examples u7w14
Factorial notation represents the product of all positive integers less than or equal to the given number. For example, 5! = 5 x 4 x 3 x 2 x 1 and 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1. The document also provides examples of simplifying factorials without a calculator by using properties such as 5! + 4! = 6 x 4! and (k + 1)! + k! = (k + 2)k!.
Combs perms review pascals
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W H A T I S N A M A S M A R A N D R
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2) Those who integrate or advocate for dialogue between different medical disciplines fit within the holistic framework. Those who rigidly adhere only to one discipline and oppose holistic medicine do not.
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Diabetes And Giddiness Dr
Diabetes can cause neuropathy or disturbances to the nervous system, which can lead to bizarre symptoms like giddiness. Giddiness experienced by diabetics can vary from minor to frightening. The complications of diabetes and misinformation about them can further disturb those affected. Repeating a mantra or name of God (Namasmarn) and drinking water to induce vomiting may help alleviate symptoms of giddiness in some cases. Long term, vitamins B, C and herbal supplements like chyavanprash may strengthen the nervous system. While feeling helpless is common, focusing on God's name through Namasmarn may help cope with difficult situations.
Head Massage Dr
Dr. Shriniwas Kashalikar discusses the benefits of head massage with coconut oil. He used to dislike oiling the head due to stickiness and stains, but now massages his head daily with coconut oil. The massage exercises his arms and reduces dryness in his palms. He believes traditional massage techniques should be respected in mainstream medicine, as head massage provides refreshing and rejuvenating benefits, especially when combined with meditation.
Effective Writing
This document provides guidance on effective writing. It discusses preparing for writing by choosing a topic and purpose. It emphasizes the importance of unity, coherence, and emphasis in a composition. Specific organizational patterns and techniques for an introduction, transitional paragraphs, and conclusion are outlined. The document concludes with recommendations for choosing an effective title.
Day 8 examples u7w14
This document contains 5 problems involving finding terms in expansions of polynomials. The problems involve finding specific terms that contain a given power of x in expansions of polynomials such as (3x^4 - 1)^9, (-x^3 + 2)^6, (x + 1)^3x, (x + 1)^x, and determining the value of m if one term in the expansion of (2x - m)^7 is -262500x^2y^5.
Day 7 examples u7w14
The document discusses binomial expansion, which is the process of multiplying out terms with two variables according to their power using the binomial theorem. It provides examples of expanding binomial expressions like (x + y)2, (x + y)3, and (x + y)4. It also notes that the sum of the exponents in each term equals the overall power, and the number of terms is always one more than the power. Finally, it provides the binomial theorem for expanding any binomial expression and finding a particular term.
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This document discusses how to calculate arrangements when some items must be together or apart. It explains that when items need to be together, they should be counted as a single item to reduce the total items being arranged. Then the total number of arrangements is calculated by finding the total possible arrangements and subtracting the arrangements that do not satisfy the constraints of certain items being together or apart. Examples provided include arranging people in a row when some must or cannot sit together and arranging books on a shelf keeping books of each subject together.
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Permutations involve arranging objects or letters in a definite order. The number of permutations of n objects taken r at a time is written as nPr. To calculate nPr, use the formula nPr = n!/(n-r)!. Permutations are used to calculate possibilities like license plate numbers, phone numbers, and locker combinations. When objects are identical, the number of permutations is divided by the factorial of the number of identical objects.
Day 1 examples u3w14
This document provides instructions for solving different types of exponential equations: equations where the unknown is the answer, the unknown is the base, or the unknown is the exponent. It also mentions using logs to solve exponential equations.
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Factorial notation represents the product of all positive integers less than or equal to the given number. For example, 5! = 5 x 4 x 3 x 2 x 1 and 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1. The document also provides examples of simplifying factorials without a calculator by using properties such as 5! + 4! = 6 x 4! and (k + 1)! + k! = (k + 2)k!.
Combs perms review pascals
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.
Sensor connected health eco systems ready to play
The document discusses how sensor-connected health ecosystems are ready for games to play a role. It outlines how crowdsourced data from consumer health sensors can help close the "reachability gap" between what levels of health are achievable versus actual outcomes. By linking measured health indicators and behaviors through games, crowds can help generate new health intelligence to accelerate strategies for improving lifestyles. The document calls on developers to create innovative mobile serious games that connect to next generation personal health records and networks of health sensors.
Stress writing and reading dr. shriniwas kashalikar
Total stress management is difficult to articulate and share effectively due to its complexity. It addresses stress and tensions holistically rather than through reductionist or escapist approaches. Sharing concepts related to total stress management, such as NAMASMARAN, is challenging as it does not provide instant gratification like sharing other topics. One must persist patiently in sharing total stress management while remembering that it is a holistic solution, though difficult to comprehend and practice.
W H A T I S N A M A S M A R A N D R
Namasmaran means remembering the name of God, gurus, or great souls through repetition, which can be done silently, loudly, alone or in a group. It is a way to reunite one's physiological self with their true self. By remembering one's true self through symbols like God's name, it leads to unification with objective or cosmic consciousness. Namasmaran is considered the culmination or "yoga of yoga" as it is the peak of consciousness achieved through any yoga practice or technique. It is a bounty that allows one to rise above worldly concerns and transcend planes of existence.
C O N C E P T O F H O L I S T I C M E D I C I N E D R
1) Holistic medicine emerges from the realization that different medical disciplines are interconnected rather than separate. It views the human body and health in a unified, multidimensional way.
2) Those who integrate or advocate for dialogue between different medical disciplines fit within the holistic framework. Those who rigidly adhere only to one discipline and oppose holistic medicine do not.
3) Holistic medicine is trans-religious, trans-national, trans-cultural, and not confined to a single intellectual or ideological framework. It aims to understand life in its full complexity by comprehending connections between concepts from different medical disciplines.
Games for health 2012: My Sensor Said So: What Personal Biometric Sensors Can...
This talk describes how personal health sensors can be added to games in order to engage and sustain motivation of users. A developer tool called CommonSenses by Elbrys Networks is described in the last few slides to enable applications to use any sensor and not tie themselves to only one.
R E S E R V A T I O N P O L I C Y & S U P E R L I V I N G D R
The document discusses reservation policy and promoting holistic well-being in society. It argues that if people are not made helpless by pain, fear, or dependence, and do not obsess over material goods, they will not be parasitic. It also states that with self-realization and self-esteem, people will not be trapped in exploiter or exploited roles. Finally, it advocates for holistic education, medicine, and policies that promote empowerment and abolish the need for reservations based on money, race, religion or caste in order to facilitate unity and harmony in society.
M Y P R O B L E M D R
The document discusses "my problem", which is a struggle within individuals between what is and what should be. This restlessness stems from sensory input not matching feelings of wants and deficiencies. "My problem" is a global issue, as it is difficult to voluntarily blossom into generous, loving, and benevolent qualities. Punishment and force cannot transform individuals, only creating a holistic environment through globally beneficial policies and practices can help with blossoming. However, even this is not possible without considering everyone through tolerance, as "my problem" is also "your problem" - it is universal. The only way to address this is through the universal practice of Namasmaran.
Diabetes And Giddiness Dr
Diabetes can cause neuropathy or disturbances to the nervous system, which can lead to bizarre symptoms like giddiness. Giddiness experienced by diabetics can vary from minor to frightening. The complications of diabetes and misinformation about them can further disturb those affected. Repeating a mantra or name of God (Namasmarn) and drinking water to induce vomiting may help alleviate symptoms of giddiness in some cases. Long term, vitamins B, C and herbal supplements like chyavanprash may strengthen the nervous system. While feeling helpless is common, focusing on God's name through Namasmarn may help cope with difficult situations.
Head Massage Dr
Dr. Shriniwas Kashalikar discusses the benefits of head massage with coconut oil. He used to dislike oiling the head due to stickiness and stains, but now massages his head daily with coconut oil. The massage exercises his arms and reduces dryness in his palms. He believes traditional massage techniques should be respected in mainstream medicine, as head massage provides refreshing and rejuvenating benefits, especially when combined with meditation.
Effective Writing
This document provides guidance on effective writing. It discusses preparing for writing by choosing a topic and purpose. It emphasizes the importance of unity, coherence, and emphasis in a composition. Specific organizational patterns and techniques for an introduction, transitional paragraphs, and conclusion are outlined. The document concludes with recommendations for choosing an effective title.
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Day 8 examples u7w14
This document contains 5 problems involving finding terms in expansions of polynomials. The problems involve finding specific terms that contain a given power of x in expansions of polynomials such as (3x^4 - 1)^9, (-x^3 + 2)^6, (x + 1)^3x, (x + 1)^x, and determining the value of m if one term in the expansion of (2x - m)^7 is -262500x^2y^5.
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The document discusses binomial expansion, which is the process of multiplying out terms with two variables according to their power using the binomial theorem. It provides examples of expanding binomial expressions like (x + y)2, (x + y)3, and (x + y)4. It also notes that the sum of the exponents in each term equals the overall power, and the number of terms is always one more than the power. Finally, it provides the binomial theorem for expanding any binomial expression and finding a particular term.
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This document discusses how to calculate arrangements when some items must be together or apart. It explains that when items need to be together, they should be counted as a single item to reduce the total items being arranged. Then the total number of arrangements is calculated by finding the total possible arrangements and subtracting the arrangements that do not satisfy the constraints of certain items being together or apart. Examples provided include arranging people in a row when some must or cannot sit together and arranging books on a shelf keeping books of each subject together.
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Permutations refer to arrangements of objects in a definite order. Some key points:
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Mental math test outline
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Day 5 examples u5w14
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This document asks which of the following binomials are factors of the expression 9x - 12. The options given are x + 3 and x - 2. Of these two options, x - 2 is a factor of 9x - 12, since (3x - 4)(3x - 4) = 9x^2 - 12x + 12 = 9x - 12.
Day 2 examples u5w14
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Day 1 examples u2w14
- 1. Measurement of Angles 2 Systems - unit symbol is o - has no unit symbol r us a di -r = arc length = s The central angle is subtended or "covered" by an arc length (for a given radius) C=2 in rads = r rads or radians or 2 (3.14) = 6.28 rads
- 2. The Connection -> Rads to Degrees Degrees Radians (exact values)
- 3. Converting Degrees ex 1) How many radian is (in -terms) Radians
- 4. ex 2) How many degrees is