Show all work neatly on a separate piece of paper. In order to receive credit, work has to make mathematical sense with no steps skipped that cannot be done mentally and easily. Given the curve, y" - zy - s' = 15. dy a. Find - dy b. Find all point(s), (I, y), on the curve where the tangent is horizontal. Separate multiple answers with a comma. Enter DNE if no solution exists. (I, y) = c. Find all point(s), (I, y), on the curve where the tangent is vertical. Separate multiple answers with a comma. Enter ONE if no solution exists. (I, y) = Given the curve, y = =(c - 3). a. Find the derivative of the curve. dy b. Find all point(s), (I, y) on the curve at which the tangent line is horizontal. Give exact answer(s) only, le, no decimal approximated answer(s). Separate multiple answers with a comma. Enter ONE if no solution exists. (z, y) = C. Find all point(s), (z, y) on the curve at which the tangent line is vertical. Give exact answer(s) only, le, no decimal approximated answer(s). Separate multiple answers with a comma. Enter ONE if no solution exists. (z, y) = The height of a ball (in feet), shot vertically upward on a certain planet, with an initial velocity of 100 ft/sec, is given by A(t) = - 8+ + 100t where t is in seconds. a. Determine how long the ball was in the air. seconds b. Determine the velocity of the ball upon hitting the ground. Velocity = ft SOC c. Determine the maximum height reached by the ball? Maximum Height = feet d. Determine the acceleration of the ball when the ball is at maximum height? ft BOC2