A discount pass for a bridge costs $21 per month. The toll for the bridge is normally $2.50, but it is reduced to $1 for people who have purchased the discount pass. a. Express the total monthly cost to use the bridge without a discount pass, f, as a function of the number of times in a month the bridge is crossed, x. b. Express the total monthly cost to use the bridge with a discount pass, g, as a function of the number of times in a month the bridge is crossed, x. c. Determine the number of times in a month the bridge must be crossed so that the total monthly cost without the discount pass is the same as the total monthly cost with the discount pass. What will be the monthly cost for each option?
A discount pass for a bridge costs $21 per month. The toll for the bridge is normally $2.50, but it is reduced to $1 for people who have purchased the discount pass. a. Express the total monthly cost to use the bridge without a discount pass, f, as a function of the number of times in a month the bridge is crossed, x. b. Express the total monthly cost to use the bridge with a discount pass, g, as a function of the number of times in a month the bridge is crossed, x. c. Determine the number of times in a month the bridge must be crossed so that the total monthly cost without the discount pass is the same as the total monthly cost with the discount pass. What will be the monthly cost for each option?
Solution Summary: The author explains how to express the total monthly cost to use the bridge without a discount pass, based on the number of times it is crossed x.
A discount pass for a bridge costs $21 per month. The toll for the bridge is normally $2.50, but it is reduced to $1 for people who have purchased the discount pass.
a. Express the total monthly cost to use the bridge without a discount pass, f, as a function of the number of times in a month the bridge is crossed, x.
b. Express the total monthly cost to use the bridge with a discount pass, g, as a function of the number of times in a month the bridge is crossed, x.
c. Determine the number of times in a month the bridge must be crossed so that the total monthly cost without the discount pass is the same as the total monthly cost with the discount pass. What will be the monthly cost for each option?
4. Use method of separation of variable to solve the following wave equation
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J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
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t>0, 0 0,
ux (4,t) = 0, for
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u(x, 0) =
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0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
Chapter 1 Solutions
Precalculus, Books A La Carte Edition Plus MyLab Math with eText -- Access Card Package (6th Edition)
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