Suppose that the position of a particle is given by s(t) = 7t³ + 4t + 9. (a) Find the velocity at time t. m v(t) = (b) Find the velocity at time t = 3 seconds. m 8 (c) Find the acceleration at time t. a(t) = m (d) Find the acceleration at time t = 3 seconds. m 82

The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and y=5, then z=28.

The period T of a pendulum of length L is T = (2 √L)/√g, where g is the acceleration due to gravity. A pendulum is moved from the Canal Zone, where g = 32.09 feet per second per second, to Greenland, where g = 32.23 feet per second per second. Because of the change in temperature, the length of the pendulum changes from 2.5 feet to 2.48 feet. Approximate the change in the period of the pendulum