Extra Problems #3

Math 150 Autumn 2011

Daily Quiz Problems Take (mostly) from these

Name______

  1. (Sec. 2.7 #22) Use and to evaluate the expression.
  1. (Sec. 2.7 #32) Use and to evaluate the expressions.
  1. (Sec. 2.7 #42) Find
  1. (Sec. 2.7 #58) A spherical balloon is being inflated. The radius of the balloon starts at 5 cm and is increasing at the rate of 3 cm/sec.
  2. Find a function that models the radius ‘r’ of the sphere as a function of time ‘t’.
  1. Find a function that models the volume ‘V’ of the sphere as a function of the radius ‘r’.
  1. Compose them to get a function for the volume ‘V’ in terms of time ‘t’.
  1. (Sec. 2.8 #10) Determine whether the function is one-to-one or not. Explain your answer.
  1. (Sec. 2.8 #12) Determine whether the function is one-to-one or not. Explain your answer.
  1. (Sec. 2.8 #24) Show (algebraically) that the following functions are inverses of each other.
  1. (Sec. 2.8 #38) Find the inverse function of .
  1. (Sec. 2.8 #72) A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 40 minutes. Toricelli’s law gives the volume of the water remaining in the tank after ‘t’ minutes as Assume the domain of V is t > 0.
  2. Find the inverse function . What does it represent?
  1. Find
  1. (Sec. 3.1 #14)Make a nice sketch of the graph. Label all intercepts (x-intercepts and y-intercepts).
  1. (Sec. 3.1 #18) Make a nice sketch of the graph. Label all intercepts (x-intercepts and y-intercepts).
  1. (Sec. 3.1 #26) Factor the polynomial and use the factored form to find the zeros and sketch the graph.
  1. (Sec. 3.1 #34) Factor the polynomial and use the factored form to find the zeros and sketch the graph.

Factored Form =

List the zeros of P(x) :