PLEASE ANSWER THESE QUESTIONS:

Section 2.5: Problem 1 (1 point) Previous Problem Problem List Next Problem Let f(x) = v5x2 + 3x + 4. Then f'(x) = f' ( 4) =Section 2.5: Problem 2 (1 point) Previous Problem Problem List Next Problem Let f(x) = (2x + 3) 4 Then, f'(x) = f (2) =Problem 15 v Problem 16 At least one of the answers above is NOT correct. Problem 17 V The position of a particle moving on a horizontal line (where s is in feet to the right of a fixed reference point and t is in seconds after the start of the observation) is Problem 18 v Problem 19 V s(t) = t* - 12t + 24, t 2 0. Problem 20 Problem 21 / (A) Find the velocity, in feet per second, at time t: v(t) = 4t - 12 Problem 22 V Problem 23 v (B) Find the velocity (in ft/sec) of the particle at time t = 3. 96 Problem 24 V (C) Find all values of t for which the particle is at rest. (If there are no such values, enter none . If there are more than one value, list them separated by commas.) Problem 25 V t = Problem 26 3 Problem 27 Problem 28 (D) Use interval notation to indicate when the particle is moving in the positive direction. (If needed, enter inf for co. If the particle is never moving in the positive direction, enter none .) (38 , 20 (E) Find the total distance (in feet) traveled during the first 8 seconds. 31808 5Section 2.5: Problem 3 (1 point) Previous Problem Problem List Next Problem Let y = v7 + 2tanc. Then, dy dxSection 2.5: Problem 4 (1 point) Previous Problem Problem List Next Problem Let f(x) = 7 sin(7x - 4). Find f'(x). f'(I) =Section 2.5: Problem 5 (1 point) Previous Problem Problem List Next Problem Let f(x) = -5sinc. Then, f'(x) =Section 2.5: Problem 6 (1 point) Previous Problem Problem List Next Problem Match the functions and their derivatives: 1. y = cos (x) 2. y = sin(x) tan(x) 3. y = tan(x) 4. y = cos(tan(I)) A. y = - sin(tan(x)) / cos (x) B. y' = -3 cos (x) tan(x) c. y' = sin(x) + tan(x) sec(I) D. y = 1 + tan (I)Section 2.5: Problem 7 (1 point) Previous Problem Problem List Next Problem Let f(x) = 5 sec(9r). Then, f'(x) =Section 2.5: Problem 8 (1 point) Previous Problem Problem List Next Problem Let f(x) = (7x2 -2)8(-3x2 + 8)". Then, f'(x) =Section 2.5: Problem 9 1 point) Previous Problem Problem List Next Problem Let f(x) = 3 sin(sin x). Then, f'(z) =