Find e(k) for k = 0, 1, 2, 3, and 4 if [e(k)] is given by E(z) = Z 1.98z -0.9z+0.9)(z- 0.8)(z² -1.2z+0.27) -

Q: Evaluate h(2), where h = (gon. s (2) = –ig(2) =?+1 1 f (z) . h(2)

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Q: Which is true for the f (x)= (2x-4x)e A. f(x)=e* B. f(x)=e*-1 C. f(x)=e D. f(x)=e

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Q: Find f(t). 1 <{{(5+5)3}

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Q: E(X)=5 and E(Y)=8 What is E(X+4Y)?

A: From the properties of expectation:-EaX+bY=aEX+bEY

Q: Let g(t) = (t² + 3)(t – 4) and h(t) = t3 – 4t2 + kt – 12. For what value of k does g(t) = h(t)? k =

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Q: he average daily temperature (in ◦ Fahrenheit) in Portland, Maine is given by A(t) where t is the…

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Q: Given g(s) = 7s2 + (1)/(s), find the following g(1)

A: Given: gs=7s2+1s

Q: Given that E(X) = 3, and E(X²) = 10. Find E[(5X +3)²].

A: From the provided information, E (X) = 3 and E (X2) = 10

Q: Let k(x)=f(x)g(x)h(x). If f(5)=−9,f′(5)=0,g(5)=−3, g′(5)=9,h(5)=−8, and h′(5)=−4, what is k′(5)?

A: Given, k(x)=f(x)g(x)h(x). If f(5)=−9,f′(5)=0,g(5)=−3, g′(5)=9,h(5)=−8and h′(5)=−4

Q: Find h(g(2)), where h(x) = In(1+x²) and g(x) = Ve2a – 1. - O 6 оз O 4 O 5 O Answer not listed O 2

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Q: (d) Are X1 and X2 independent? Justify. (e) Compute E(X1) and V(X1).

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Q: Find g(t) if g(t)= (f*g)(t) = L¹ ((-2/s +3/s² - 2/s³)F(s))

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Q: The region bounded by f(x) 2x² + 12x + 14, x = = 0 is rotated about the y-axis. Find the volume of…

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Q: - f«) = f(x) = E n=1

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Q: Find F(s). {16e + 1) Wce - 13} (6t + 1) U(t F(s) =

A: We have to find Laplace transform of given function using Heaviside Shift Theorem.

Q: Find t(4)(n) for the function t(n)=3n-1/3 +2n5/3

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Q: g (x) = V2x-1- 1. Which function is the inverse of of (x) = 2(x+ 1)° + 1 of (x) = 2 (z+1)3 +1 ° f…

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