Given that the variances of random variables X and Y are 1600 and 400, respectively. The correlation between X and Y is 0.58. Find Var (X – 3Y).

Q: V(2x + x2) (x + 1)? dx

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Q: t| x7+4-3=

A:

Q: evaluate 32x − 1 at x = 0. f(0) =

A: Given,    f(x)=32x-1 To find: f(0)

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: Find the antiderivative of  x4(5x5 + 1)5

A: To find out the antiderivative we use u- substitution method

Q: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

A: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

Q: ((-2x +5)dx

A:

Q: Differentiate the function. f(x) = x6174 + 2x50 – 13x* + 4x – x-6 + n²

A: Derivative of function

Q: Evaluate f +3 /1+x4 3 dx.

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Q: s dx 20+ 8x - x²

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Q: 2 y = -4Vx? +3x

A:

Q: If y = 12 when x = 6/7, find x when y = 16

A:

Q: Find (9x? - 8x + 2) dx. (9x² - 8x + 2) dx²

A: We know, ∫xndx= x(n+1)/(n+1) +C , C is a constant and for any real number n.

Q: Find the point of diminishing returns for the given revenue function.…

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Q: Sa x5 √x² + 1dx

A: To integrate.

Q: x) = (1/3)x - 6

A:

Q: Let ​f(x)=−4x+6. find f(-x)

A:

Q: Find f( - 2) if f(x) = 4x? – - x.

A: To find value of function at any point we have to put the given value of variable into the function.