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MATH 1630 Quiz 3 Solutions - Spring 2009, Quizzes of Mathematics

The solutions to quiz 3 of math 1630 - internet for the spring 2009 semester. The quiz covers various topics including solving equations, determining domains and ranges, calculating intercepts, and analyzing functions. It also includes problems related to physics and economics. Students are required to show all work to receive full credit.

Typology: Quizzes

Pre 2010

Uploaded on 08/17/2009

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MATH 1630 Internet
Spring, 2009 Quiz 3 Name:
This quiz includes sections 2.1, 2.2, 2.3, 2.4, 2.5, 3.1 and 3.2
You must show all work to receive full credit. Points will be deducted for work that is not neat or
orderly. Do all work on these sheets. Round all decimal answers to the nearest one-hundredth.
1. (6 points) Solve the following equation: 53
4
42
x
x
=
+−
2. (4 points) Solve the following equation: 2
5530tt
+
+=
pf3
pf4
pf5

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MATH 1630 Internet

Spring, 2009 Quiz 3 Name:

This quiz includes sections 2.1, 2.2, 2.3, 2.4, 2.5, 3.1 and 3.

You must show all work to receive full credit. Points will be deducted for work that is not neat or

orderly. Do all work on these sheets. Round all decimal answers to the nearest one-hundredth.

  1. (6 points) Solve the following equation:

x 4 x 2

  1. (4 points) Solve the following equation:

2 5 t + 5 t + 3 = 0

  1. (6 points) Showing all appropriate calculations, determine the domain and range of

2 f x = − 2 x + 5 x − 7

Domain:

Range:

  1. Showing all work, calculate the coordinates of the x-intercept(s) and y-intercept for the function

2 f x = 5 x − 2 x − 3

x-intercept(s) (5 points)

y-intercept (2 points)

  1. (8 points) If the supply and demand functions for a commodity are given by 4 pq = 42 and

( p^ +^2 ) q =^2100 , respectively, calculate the equilibrium price and equilibrium quantity.

7. The profit function for a firm making widgets is ( )

2 P x = 88 xx − 1200 , where x is the number of

widgets. Calculate each of the following quantities. You must show all work.

a. (5 points) Calculate the break-even point(s).

b. (5 points) Calculate the maximum possible profit and the corresponding number of widgets to be

made and sold.