(a) Let e N(0, 1) and X 2 T € +0.2k-1. Find Var[X] and x (h).

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A:

Q: Consider the function f(x) where. 2x²-x +3. if x>2 jf x=2 if x<a f(x) = 4 4-X Is the function…

A: Solution:

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A:

Q: f(5 + h)- f(5) Then lim DNE If the limit does not exist enter DNE

A:

Q: x+3 4) Evaluate f dx x+1

A:

Q: 14. Express f(x) = |x as a piecewise function.

A:

Q: Differentiate. f(x) = In In dx (5x + 2)(x+7)3 (1-6x)6 (5x+2)(x+7)3 (1-6x)6

A:

Q: If Var[x]=0.4, what is Var[2x+1] = ?

A: According to the given information, we have Var[x] = 0.4

Q: f(x) = x+ 4/x

A:

Q: 4 Compute f(g(x)) where f(x) =x* -x and g(x) =x²-11. dx The answer is

A:

Q: Describe the end behavior of each function. 7) f(x)= x -2x'+x-1 8) f(x)=-x² + 8x - 17

A:

Q: Q4) a. Expand the function f(x) = e(x*+2) by using 12 terms only. b. Rename the expansion terms by…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

A:

Q: 1 show that f (-2) = f(2). 4 If ƒ(x) = x" 4

A:

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

Q: Find the open intervals on which the function f(x)=x+6*sqrt(5−x) is increasing or decreasing.

A: Given, f(x)=x+65-x

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A: Given integral:- ∫t7sin2t4dt

Q: Find the intervals where g(x)= -2(4x+1)10 is increasing and where it is decreasing

A: Find first derivative using exponent rule and chain rule.

Q: Determine the value(s) of x for which the following function is discontinuous. Identify the type of…

A: The given function,         fx=2x2+3x-2x+2 Removable discontinuous:    If a function f(x) has…

Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: f(x) = x3 + 3x

A: if first derivative is positive in the that interval f(x) is decreasing

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: ex - 32 √x +x 22

A:

Q: Which function grows faster as O x → +∞ ? 3x¹ + 2x³ + 3x² +1 x³ ln(x² + 1)

A:

Q: 04. + 2- 3r-11 (a) Show that -0 can be rearanged as

A: Given that: f(x)=x3+2x2-3x-11

Q: The domain of f' is 1 (Type your answer in interval notation.)

A: