10 questions

Let s(t) - 4t's - 6t - 24t be the equation of motion for a particle. Find a function for the velocity v(t) = Where does the velocity equal zero? [Hint: factor out the GCF.] t - and t - Find a function for the acceleration of the particle. a(t) - Find the indicated derivatives, using the following information: f(10) = - 4 g(10) = - 3 f' (10) = 4 g'(10) = 1 5f(10) - 39(10) = dar (5f - 39)(10)= (Note this is a derivative) Find f (200) (x) for f(z) - - 11a175. Simplify your answer completely. f (200) (z) = Given f(x) = 3 x + 15 + 13, find f'(z) and its domain in interval notation. Simplify any fractions. f' (z) = Find f'(x) for f(x) = 16Avx - 5Bx where A and B are constants. Completely simplify any fractions. Hint: Your final answer should contain the constants A and B. f'(2) = Given f(z) = - 12z" - 16z - 10, use rules of differentiation to find the second deriva f" (2) If f ( z ) = 6+- 4 + - 2. find f' ( z ) . Find f' (4). Round to 3 decimal places if necessary. Let f(x) = - 5x4 x+ -6 f' (x) = n...... For what values of a and b is the line - 4x + y = b tangent to the curve y = ax? when x = - 5? a = For each value below, enter the number correct to four decimal places. Suppose an arrow is shot upward on the moon with a velocity of 56 m/s, then its height in meters after t seconds is given by h(t) = 56t - 0.83t . Find the average velocity over the given time intervals. [6, 7] 70 [6, 6.5] [6, 6.1) [6, 6.01] I [6, 6.001]