2.7 EXERCISES 1-4 A particle moves according to a law of motion s f(t), t 0, where t is measured in seconds ands in feet. (a) Find the velocity at time t. (b) What is the velocity after 1 second? (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (e) Find the total distance traveled during the first 6 seconds. (f) Draw a diagram like Figure 2 to illustrate the motion of the particle. (g) Find the acceleration at time t and after 1 second. (h) Graph the position, velocity, and acceleration functions for 0t 6. (i) When is the particle speeding up? When is it slowing down? 1. f(t) t3-9t224t 2. f(t) 0.01t - 0.04t3

The number of Rednwood pine trees per acre N(d) in a test plot can be approximated by the following model N(d)=68(-0.04d); 5 less than or equal to d less than or equal to 40 where d is the average diameter (in feet) of the trees when they are measured 3 feet off the ground. To the nearest hundredth of a foot, find the average diameter of the trees in a 1-acre test plot containing 21 trees. Explain how you got your answer.

solve the equation 1/2(f+)-1/3=5/3

Solve for f:1/p+1/q=1/f   Show your work