Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN: 9781337111348
Author: Bruce Crauder, Benny Evans, Alan Noell
Publisher: Cengage Learning
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Chapter A.2, Problem 9P
A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can, and let h denote the height, both in inches.
a. Express the total surface area S of the can, using x and h. (Note: The total surface area is the area of the top plus the area of the bottom plus the area of the cylinder.)
b. Using the fact that the total area is 40 square inches, express h in terms of x.
c. Express the volume V of the can in terms of x.
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Question 1. Solve the system
-
x1 x2 + 3x3 + 2x4
-x1 + x22x3 + x4
2x12x2+7x3+7x4
Question 2. Consider the system
= 1
=-2
= 1
3x1 - x2 + ax3
= 1
x1 + 3x2 + 2x3
x12x2+2x3
= -b
= 4
1 For what values of a, b will the system be inconsistent?
2 For what values of a, b will the system have only one solution?
For what values of a, b will the saystem have infinitely many solutions?
Chapter A Solutions
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Ch. A.1 - PRACTICE PROBLEMS Use the rules for order of...Ch. A.1 - PRACTICE PROBLEMS Use the rules for order of...Ch. A.1 - Prob. 3PCh. A.1 - Prob. 4PCh. A.1 - PRACTICE PROBLEMS Use the rules for order of...Ch. A.1 - Prob. 6PCh. A.1 - Prob. 7PCh. A.1 - Prob. 8PCh. A.1 - Prob. 9PCh. A.1 - Prob. 10P
Ch. A.2 - PRACTICE PROBLEMS Two hundred yards of fence is to...Ch. A.2 - Prob. 2PCh. A.2 - Prob. 3PCh. A.2 - Prob. 4PCh. A.2 - PRACTICE PROBLEMS Find the area of a slice of...Ch. A.2 - Prob. 6PCh. A.2 - Prob. 7PCh. A.2 - PRACTICE PROBLEMS A ball is chopped in half, and...Ch. A.2 - A soda can is made from 40 square inches of...Ch. A.2 - A soda can has a volume of 25 cubic inches. Let x...Ch. A.3 - Prob. 1PCh. A.3 - Prob. 2PCh. A.3 - Prob. 3PCh. A.3 - Prob. 4PCh. A.3 - Prob. 5PCh. A.3 - Prob. 6PCh. A.3 - Prob. 7PCh. A.3 - Prob. 8PCh. A.3 - Prob. 9PCh. A.3 - Prob. 10PCh. A.4 - PRACTICE PROBLEMS Solve by factoring x29=0.Ch. A.4 - Prob. 2PCh. A.4 - PRACTICE PROBLEMS Solve by factoring x2+6x+9=0.Ch. A.4 - PRACTICE PROBLEMS Solve by factoring x28x=9.Ch. A.4 - Prob. 5PCh. A.4 - Prob. 6PCh. A.4 - Prob. 7PCh. A.4 - Prob. 8PCh. A.4 - Prob. 9PCh. A.4 - Prob. 10PCh. A.5 - Prob. 1PCh. A.5 - Prob. 2PCh. A.5 - Prob. 3PCh. A.5 - Prob. 4PCh. A.5 - Prob. 5PCh. A.5 - Prob. 6PCh. A.5 - Prob. 7PCh. A.5 - Prob. 8PCh. A.5 - Find the equation of the line passing through...Ch. A.5 - Find the equation of the line passing through...Ch. A.6 - Practice with Exponents Problems A-1 through A-5...Ch. A.6 - Prob. 2PCh. A.6 - Practice with Exponents Problems A-1 through A-5...Ch. A.6 - Practice with Exponents Problems A-1 through A-5...Ch. A.6 - Prob. 5PCh. A.6 - Prob. 6PCh. A.6 - Prob. 7PCh. A.6 - Prob. 8PCh. A.6 - Prob. 9PCh. A.6 - Prob. 10PCh. A.7 - Prob. 1PCh. A.7 - Prob. 2PCh. A.7 - Prob. 3PCh. A.7 - Write x2+12x+1 in the form a(xp)2+q.Ch. A.7 - Prob. 5PCh. A.7 - Prob. 6PCh. A.7 - Prob. 7PCh. A.7 - Prob. 8PCh. A.7 - Prob. 9PCh. A.7 - Prob. 10P
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