Please show all work and steps Suppose X is a random variable and a an.pdf

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Please show all work and steps Suppose X is a random variable and a and b are real numbers. What does the variance V [ a X + b ] simplify to?.

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Please help. This is from vertebrate zoology. I know the first question is referring to celaphochordates. Which group of invertebrates is believed to be the ancestor of all vertebrates? a. What is the developmental, anatomical, and molecular evidence? b. Why are the HOX genes so important and their duplication is an important characteristic shared between chordates and vertebrates? c. What living animal from this group shares these characteristics? d. What traces do humans have of these anatomical characteristics?.

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Please help. I know it's alot but i could really use the help. I appreciate it! UNIT 2 Objectives 1. Diagram the layers of the Pericardium and the Heart Wall including: Parietal Layer Visceral Layer (Epicardium) Myocardium Endocardium 2. Describe the Great Vessels entering and leaving the heart: Inferior Vena Cava Aorta Pulmonary Arteries Superior Vena Cava Pulmonary Truck Pulmonary Veins 3. Diagram the blood flow through the Systemic, Pulmonary, and Coronary circuits. 4. Discuss the coronary vessels. Diagram blood through the major Coronary Arteries and Veins. 5. Describe the anatomy of the Heart. Include: Right and Left Atria AV valves Trabeculae Carnaelnterventricular septum Right and Left Ventricles Semilunar valves Papillary muscles Chordae tendineae 6. Discuss the functioning of the Heart Valves. Describe the major heart sounds produced by closure of these valves. Tricuspid Bicuspid Aortic Semilunar Pulmonary Semilunar 7. Outline the functioning and components of the heart's Conduction System, including: SA Node AV bundle (bundle of His) Purkinje fibers AV node L and R bundle branche 8. Describe events of cardiac Autorhythmic and Contractile action potentials. Interpret the basic parts of An ECG and what events of the heart they represent. 9. Describe and correlate the events of the Cardiac Cycle. Include the ECG Volumes Diastole EDV Valve opening and closing Pressures Systole Heart sounds. 10. Calculate and show the relationship between Cardiac Output, Heart Rate and Stroke Volume and describe factors that would affect cardiac output. 11. Diagram the anatomy and function of Blood Vessels: Elastic rteries Arterioles Veins Muscular arteries Capillaries Venules 12. Compare and contrast the vessels: Size Thickness Pressure Blood velocity Cross-sectional area. 13. Describe the factors the affect Blood Pressure throughout the circulatory system including: Stroke volume Heart rate Vascular Resistance 14. Describe the mechanisms used to maintain Blood Pressure, including: Baroreflexes Chemoreflexes Hormonal influences. 15. Differentiate between the structure and location of the 3 types of Capillaries: Continuous Fenestrated Sinusoidal 16. Discuss the modes of Capillary Exchange: Diffusion, and bulk flow (filtration / reabsorption). Show the relationship between the net filtration pressure, hydrostatic pressure and osmotic pressure. 17. Identify the major blood vessels of the human systemic circulatory system and the areas of the body they service. (See Lab Objectives for listing). Include the differences in fetal circulation involving the foramen ovale and the ductus arteriosus. 18. List the functions of the Lymphatic and Immune system. 19. Summarize the various types and functions of: Lymphocytes B, T, and NK cells. 20. Differentiate between blood, interstitial fluid and lymph. 21. Diagram the flow of lymph through Lymphatic capillaries and vessels Thoracic duct Right lymphatic duct Subclavian veins 22. Describe the following lymphatic organs.

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Please help write the Caesar cipher. It must follow the these requirements: Substitution cipher (implemented in cipher.h and cipher.cc) class has already been defined (but not implemented) for you. The other cipher classes MUST a) inherit from the substitution cipher, or b) inherit from one of the four other cipher classes (e.g., Caesar inherits from Substitution, ROT13 inherits from Caesar). 4. Each new cipher class MUST have a constructor, a default constructor (except the ROT13 cipher, as described below), and a destructor . a) Each constructor should accept the input appropriate for the cipher: i) substitution - cipher alphabet - must contain every letter in the alphabet, and only once, and they must all be lower case. It should contain no other characters (e.g., no space, punctuation, etc.). Cipher alphabet length should always be 26. ii) Caesar - positive shift/rotation/offset integer. This value can be larger than 26, in which case it has rotated completely one or more times. b) Each default constructor should not accept any inputs. i) ROT13: ROT13 should only have a default constructor, and it should function properly as a ROT13 cipher with the default constructor. ii) Other ciphers: default constructor should initialize the object so that encrypting any plain text should return a cipher text that is identical to the plain text. For example, for Caesar, setting the shift to 0 will achieve this. YOU CANNOT SIMPLY RETURN THE PLAIN TEXT - IT MUST STILL ENCRYPT THE TEXT using the proper method. b) the destructor should free all memory. Valgrind will be used to make sure there are no memory leaks. 5. Each cipher must also provide encrypt and decrypt functions. They can either be implemented explicitly, or implicitly using inheritance. This is a design decision, but the decision should be made to minimize/modularize your code. i) Encrypt: Assume that the input plain text will always be a) lower case letter, b) upper case letter, or c) a space. Space should not be encrypted (i.e., if the plain text is "hello world", the encrypted text should look something like "abcde fghij". Upper case letter should be encrypted to an upper case letter (you don't have to, but you will find that meeting the decrypt requirement below will be difficult otherwise). ii) Decrypt: This should take in the encrypted text and return the origin plain text. It should a) retain the case (i.e., if the input plain text has an upper case letter, the decrypted plain text should have that letter as upper case. b) retain the space - If the plain text had spaces, the decrypted text should still have those spaces in the correct place. 6. Data members in all cipher classes should be hidden using the Cheshire smile. 7. Each cipher should also check to make sure that the provided cipher alphabet, rotation etc. meets the requirements before initializing the object with it. For example, see the is_valid_alpha function in cipher.cc for the substitution cipher. Below shows just A COUP.

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