17. The position function of a palmetto bug moving linearly across the kitchen floor is given by: s(t) = 13 -5+2 +81 +4 a) find its velocity after 3 secs b) find when its velocity is zero c) find the intervals over which the bug is moving in a poseg direction 18. A calculus text is dropped from a height of 576 ft. a) find v(t) b) find the books velocity on impact c) find a(4) d) find the replacement cost of the book 19. Find all points on the curve f(x) = x' + 3x2 -72x +18 where the fact has a horizontal tange 20. Write the equation of the tangent line to f(x) = (x+1)' at the pt (2, 27) 21. Write the equation of the tangent line to y = cos2x when x =