I need help with these problems, please help.

1.

Given that the graph of f(a:) passes through the point (6, 5) and that the slope of its tangent line at (3:, f(a:)) is 4x + 5, what is f(3)? :] A stone is dropped from the edge of a roof, and hits the ground with a velocity of -160 feet per second. How high (in feet) is the roof? ft Note: the acceleration of an object due to earth's gravity is 32 sec2 n 4 5 Given Ln = 4 2+ (2 - 1)- -6 2+ (2 - 1) , express the limit as n n 1 = b n - oo as a definite integral, that is provide a, b and f ( ) in the expression f(x) dx. a a = b f (a) =Find the exact average value fave of f(x) = V4 - a between 0 and 2, then find an exact number c in [0,2] where f(c) = fave. fave = C =Use the rules for sums of powers of integers to compute the sum