Suppose· X · has probability-density-function (p.d.f) fx(x) = 7(1+x²)³ ° which one is the p.d.f.. for Y=2X. A 2 fr(y)= π(4+ y²) B f(y)=- 1 π(1+4y²) fx(y)= 1 л(1+y²) 1 fr(y) == arctan y π C D

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Q: (18) Find [S], where S = {(a, b, c)|a, b, c E [100], a <b, a <c}.

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Q: c. y= x*

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: The objective of the question is evaluate the integral.

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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: 6. Show that f(x) = sin x is uniformly continous on R.

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Q: f (x,y) =x³ cos y Given df (2, 1) дх of and (2, л). Evaluate ду

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Q: d f(x) 3. Use the table to evaluate dx g(x) x=1 x = 3 x = 5 x = 7 x = 9 f(x) 3 1 9. 5 f'(x) 5 1 3…

A: Given the table:

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Q: Suppose that f(1) = -3, f(4) = -4, f'(1) = -3, f'(4) = -5, and f" is continuous. Find the value of…

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