Revenue For groups of 80 or more people, a charter bus company determines the rate r (in dollars per person) according to the formula r = 15 − 0.05 ( n − 80 ) , n ≥ 80 where n is the number of people. (a) Express the revenue R for the bus company as a function of n. (b) Complete the table. n 100 125 150 175 200 225 250 R (c) Is the formula for the rate a good one for the company? Explain your reasoning.
Revenue For groups of 80 or more people, a charter bus company determines the rate r (in dollars per person) according to the formula r = 15 − 0.05 ( n − 80 ) , n ≥ 80 where n is the number of people. (a) Express the revenue R for the bus company as a function of n. (b) Complete the table. n 100 125 150 175 200 225 250 R (c) Is the formula for the rate a good one for the company? Explain your reasoning.
Solution Summary: The author calculates the revenue R for the bus company as a function of n.
4. Use method of separation of variable to solve the following wave equation
მłu
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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ძx2 •
t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
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
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