14. Show that Var(aX+b) = a² Var(X). X-E(X)

Q: 1. f(x) = (3x² – 5)(2x* – x) 2. y = (6x³)(7x*) 3. y = (3x2 -1)(x² + 5x + 2) %3D -

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Q: . The domain of f(x)=3x+5+2x' is

A: We will find the domain of f(x)= 3x+5+2x3

Q: 13) Use the product rule, quotient rule and/or chain rule to differentiate each of the following…

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Q: Suppose Var(X) = 96, and a = .45. What is Var(aX)?

A: The objective of this question is to find the variance of the random variable aX, given the variance…

Q: If f(x) = (x6 + 4x) ³, then df(x) a) 3(x64x)² (x5 + 4) b) 3(x6 +4x)² Oc) (x6 +4x)² (6x5) da equals…

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Q: 5(x-3)<2(3x-1)

A: Obtain the x values that satisfies the given inequality 5(x–3)<2(3x–1).

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

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Q: 4- 2. -2. -4 -6 10

A: Question is based on Observation of given graph.

Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: How can you apply the chain rule in calculus 3 with multivariable calculus

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Q: Suppose Var(X) = 83, and a = .57. What is Var(aX)?

A: The objective of this question is to find the variance of a random variable that has been scaled by…

Q: 119. If f(x) = a*, show that f(A + B) = f(A) • f(B).

A: Given: fx=ax For finding fA+B, we put x=A+B in given expression and simplify it

Q: Determine the global extreme values of the f (x, y) = 12x - 4y if y≥x-7, y ≥-x-7, y ≤ 7. (Use…

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Q: Suppose that f(x) = 3x² - 4x + 4 and Find the following: 1. (fog) (6) = Number 2. (fog)(0) = Number…

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Q: Q7// Evaluate f -64 -dy

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Q: (x +)´ dx

A: Given: I=∫x+1x2dx   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And The sum/difference…

Q: lim [x² + 3x – 5]

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Q: Rx) = 3* f(x) = 3* -4 -2 2 4 y y 10 10 5. -4 2 4 2 -5 -5 - 10f - 10 y y 10 10 -4 2 2 4 -4 -2 4 -5 -5…

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Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

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Q: 11. Decide algebraically if the functions given below are even, odd, or neither. a) f(x) = -7x - 3x3…

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Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

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Q: Let f(x)=6x+1 and g(x)=5-x^2 , find (f o g)(x) a. x^2 b.-6x^2+30 c.-6x^2+31 d.-36x^2-12x+4 e.…

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