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Question 2 16.67 pts Suppose X is a random variable uniformly distributed on [7, 16]. Determine the standard deviation of X. 0 Question 3 16.67 pts Suppose X is a random variable uniformly distributed on [8, 10]. Determine the standard deviation of X. 0 Question 4 16.67 pts Find the degree 4 Taylor polynomial for the function e2x-3 centered at x = 1. O ze s ( x + 1)+ + +e-5 ( x+ 1)3 + 2e-5(x + 1)2+ 2e-5(x+ 1) + e-5 O ze- (x - 1)4 + 4e-1(x-1)3 + 2e-1(x - 1)2 + 2e-1(x - 1)+ e-1 O ze-5(x - 1)4 - 4e-5(x - 1)3 + 2e-5(x- 1)2- 2e-5(x- 1) + e-5 Oe- 3x4 + 4e-3x3 + 2e-3x2+ 2e- 3 x + e-3 Question 5 16.67 pts Find the degree 3 Taylor polynomial for the function e-5x-3 centered at x = 5. O _125 e-28 (x - 5)3 + 2 e-28(x - 5)2 - 5e-28(x - 5)+ e-28 Re-2 (x - 5)3 + 25 @22(x- 5)2+ 5e22(x- 5)+ e22 - 125 (22 (x + 5)3 + 25 @22 (x + 5)2 - 5022(x+ 5)+ e22 O 125 6 e-3x3 + 25 @-3 x2 - 5e- 3 x + e-3 Question 6 16.67 pts Find the degree 4 Taylor polynomial for the function In(x + 3) centered at x = -1. O - 1024 - (x + 1)* - (x+1)3 - 2 (x+1)2 - 4(x + 1)+ In4 O 1 34x*+x - 1x2+-x+In3 O - 1024 - (x - 1)*+ 7 (x - 1)3 - 2 (x - 1)2 +-(x - 1)+ In4 O - -(x+ 1 )#+= (x+ 1)3 - 2(x+ 1)2 + 4 (x+ 1)+In2