The position of the particle at time t is given by s(t) = t² – 6t + 8. The particle is moving from left to right at t : seconds O 2.0 O 0.5 O 5.0 O 2.5 0.0

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 position at the time t= 2 seconds of a particle if v(t)= 5t-3; s= 3 when t= 0.

Suppose that a particle moves according to the law of motion s = t² - 12t+24, (A) Find the velocity at time t. v(t) (B) What is the velocity after 3 seconds? = ₺≥ 0. Velocity after 3 seconds = (C) Find all values of ₺ for which the particle is at rest. (If there are no such values, enter 0. If there are more than one value, list them separated by commas.) t = (D) Use interval notation to indicate when the particle is moving in the positive direction. (If the particle is never moving in the positive direction, enter "{}" without the quotation marks.) Answer =