23 September, 2013
Chapter 9 Review
Math 1100
Name:
1. List the three most important things you have learned so
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5. Find the equation of the line tangent to y
=
at the point (1, —6).
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dyi
.7
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+1
2
x
f(x)= 3
f(x) continuous at
6. Let
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ifx<1
if
x
=
1? Explain your answer in detail.
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-2.
2
ii
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=
rx
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is
cov0v.c
c
7. Suppose the profit in dollars for a company producing x gallons of maple syrup is
P(x)
=
40x
—
(a) Find P(100). What does this represent?
p(ioo)
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(b) Find P’(lOO). What does this represent?
p()
O-I2
P(c):
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(c) Use P’(lOO) to estimate the total profit from producing 110 gallons of maple syrup.
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Q
1
3L
It’ p’(uo)
.
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(d) Find the actual profit from producing 110 gallons of syrup.
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-1o(it)
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