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The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 64 feet per second is f (t) = -16t2 + 64t + 6. (a) Verify that R(1) = (3). F (1) =[ ft F (3) = (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)? At/sec Find that time. t = Submit Answer 7. [-/9 Points] DETAILS LARCALC11 3.3.019. Consider the following function, R(x ) = X - 6x (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative minimum ( x , y ) = Submit Answer 8. [-/8 Points] DETAILS LARCALC11 3.3.037. Consider the following function. A(x ) = 2 (a) Find the critical numbers of f. (Enter your answer ma-separated list.) b) Find the open intervals on which the fu reasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = ( relative minimum ( x, y ) = (