Prove the following for absolutely continuous r.v.s A) E(Y) = Ex[E(Y|X)]

Q: 14. Are the functions continuous on the given interval? 7 (a) f(x) = 3 x € [1,7] and (b) g(x)=2x²-₁,…

A: For a function to be continuous on a given domain D, the function need to have finite values for…

Q: What is the maximum value of y = cos x. For - < x < < ?? 1 1/2 2.

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Q: (x) is continuous function find A for the following: xy - x² = y² = x B- Find at the following: C-…

A: As per the guidelines I need to answer only one question at a time. Here all the questions are…

Q: Find f"() if fx) = 2e* - %3D e* In 2 Ob) 20 2e* O c) 2e O d)

A: Recall:     d(eax)dx=a.eax

Q: 6. Let f(x) be a twice differentiable function with f(1) = 2, f(4) = 7, f'(1) = 5 and f'(4) = 3.…

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Q: b) f(x) = x2-x %3D x²-1

A: To find out where the function is discontinous.

Q: Let f(x) and g(x) be differentiable functions. Fill in the blanks with the appropriate function or…

A: To fill in the blanks with appropriate function or expression.Note: Since you have posted multiple…

Q: How would you remove the dis . z46 f(r) =

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Q: The function f is contin'ous function with the the intervel fo,-3) u(3,00 the interel (3,-) U (-1,3)…

A: Charaterstics: If f'(x) &lt; 0 ; function decreases                 ; x∈-∞,-3 ∪3,∞If f'x = 0 ; no…

Q: Show that a continuous function f : [0, 1] → Z is a constant function.

A: Consider a function .We need to show that a continuous function  is a constant function.We know…

Q: Explain why or why not Determine whether the following statements are true and give an explanation…

A: We have to determine whether the given statements are true or not: a.  ∫fx f'x dx=12fx2+Cb.  ∫fxn…

Q: 10. (True/False) For any continuous function f(x, y), we have fry = fyr.

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Q: 5. Consider the function g(x)=1 a) For what values of x is g(x) continuous? b) For what values of x…

A: In the question we have to find where function is continuous and differentiable.

Q: 1. What is true about the function f(x) = b* ? (Circle ALL that apply) c. f'(0) = Inb b + 1 b. x>0…

A: Find your answer below

Q: 15. Let f(x, y) = 22 if (x, y) ‡ (0,0), and f(0,0) = 0. Is ƒ continuous at (0,0)? x+y

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