8. If the base b of a triangle is increasing at a rate of 3 inches per minute while its height h is decreasing at a rate of 3 inches per minute, which of the following must be true about the area A of the triangle?
9. If f(x) = =′ (x)f then xx3,31x22
3x B. 3x
10. If f(x) = x3– x + 3 and c is the only real number such that f(c) = 0, then according to the Intermediate Value Theorem c must be in the interval
Free Response: Show all work.1. Differentiate: (a) (29100h(x)x1=+(b) 2y3x5x2=+-(c) r(x) = tan(3x2+ 1)2. A particle moves along the x-axis so that at time t its position is given by the equation s(t) = t3– 3t2+ 3 for t ≥0, where t is in seconds and s is in inches.(a) Assuming the particle is moving along the x-axis, during what intervals is the particle moving left? Right? Why?