Quiz 14 in Applied Calculus by Prof. S. Brick (Summer '02), Exercises of Calculus

The 14th quiz for math 120 - applied calculus, taught by prof. S. Brick during the summer of 2002. The quiz covers topics such as finding the average value of a function, sketching graphs, and setting up integrals for present value calculations.

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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Prof. S. Brick Math 120
Summer ’02 Applied Calculus; Quiz 14 section 11
0. Print your name:
1. Find the average value of y=x1/2over [1,4]. Sketch a graph representing it.
2. Indicate graphically the equilibrium price and the consumer and producer surpluses there,
given that the demand and supply curves are given by the graph. Be sure to label the axes
and each of the curves:
3. Set up an integral for the present value of an income stream of a constant Sdollars per
year for 5 years, assuming a continuous annual growth rate of 7%. Do not compute the
integral.

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Prof. S. Brick Math 120

Summer ’02 Applied Calculus; Quiz 14 section 11

  1. Print your name:
  2. Find the average value of y = x^1 /^2 over [1, 4]. Sketch a graph representing it.
  3. Indicate graphically the equilibrium price and the consumer and producer surpluses there, given that the demand and supply curves are given by the graph. Be sure to label the axes and each of the curves:
  4. Set up an integral for the present value of an income stream of a constant S dollars per year for 5 years, assuming a continuous annual growth rate of 7%. Do not compute the integral.