If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is given by f(x) = 156x13x², find the following. (A) The instantaneous velocity function v = f'(x) (B) The velocity when x = 0 and x = 1 sec (C) The time(s) when v = 0 (A) v(x) =

The distance, s (in feet), traveled by a car moving in a straight line is given by the function s (t) = t2 +t, where t is measured in seconds. Find the average velocity for the time period from t = 1 to t = 4. (A) 6 ft / sec (B) 11 ft / sec (C) 5 ft / sec (D) 10 ft / sec (E) 9 ft / sec

Find f. f(x) f"(x) = 8x³ + 5, f(1) = 6, f'(1) = 2

The function f is defined by f(x)= 2 √x x³ - for x > 0. Part A: Find f'(x). Part B: Write an equation for the line tangent to the graph off at x = 14