14. [-/6.25 Points] DETAILS WANEFMAC7 13.1.043. Find f(x) if f(0) = 1 and the tangent line at (x, f(x)) has slope x. f ( x ) = Need Help? Read It15. [-/6.25 Points] DETAILS WANEFMAC7 13.1.061. The velocity of a particle moving in a straight line is given by v(t) = 2 + 7. (a) Find an expression for the position s after a time t. (Use C for the constant of integration.) s(t) (b) Given that s = 6 at time t = 0, find the constant of integration C. C = Find an expression for s in terms of t without any unknown constants. s(t) = Need Help? Read It16. [-l6.25 Points] | DETAILS l WANEFMAC713.1.065. Your name is Galileo Galilei, and you toss a weight upward at 16 feet per second from the top of the Leaning Tower of Pisa (height 184 ft). (a) Neglecting air resistance, nd the weight's velocity as a function of time t in seconds. v(t) = ft/s (b) Find the height (in feet) of the weight above the ground as a function of time. s(t) = Where and when will it reach its zenith? ft 5