HW8 (10068779)
Question
1.
1
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3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18
Question Details
LarApCalc9 6.2.016. [2167901]
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LarApCalc9 6.2.032. [2167991]
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LarApCalc9 6.2.042. [2168005]
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Use the integration table to find the indefinite integral.
(ln 7x)2 dx
+ C
2.
Question Details
Use the integration table to find the indefinite integral.
2
7xex dx
+ C
3.
Question Details
Use the integration table to evaluate the definite integral. (Round your answer to three decimal places.)
3
9 + x2 dx
2
4.
Question Details
LarApCalc9 6.2.046. [2167962]
Use the integration table to find the exact area of the region bounded by the graphs of the equations. Use a graphing utility
to verify your results.
y = 5
1 + e2x
, y = 0, x = 0, x = 1
­
5.
Question Details
LarApCalc9 6.3.002.MI.SA. [2932835]
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive
any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise
Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the indicated
value of n. Compare these results with the exact value of the definite integral.
1
x2 + 6 dx, n = 4
3
0
6.
Question Details
LarApCalc9 6.3.004. [2168064]
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Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the indicated value of n.
Compare these results with the exact value of the definite integral. Round your answers to four decimal places.
3
(4 − x2) dx, n = 4
1
Trapezoidal Rule Simpson's Rule exact value 7.
Question Details
LarApCalc9 6.3.008. [2167857]
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Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the indicated value of n.
Compare these results with the exact value of the definite integral. Round your answers to four decimal places.
8 3
2
x dx, n = 8
0
Trapezoidal Rule Simpson's Rule exact value 8.
Question Details
LarApCalc9 6.3.012. [2167842]
Approximate the value of the definite integral using the Trapezoidal Rule and Simpson's Rule for the indicated value of n.
Round your answers to three decimal places.
4
9
2
0 x + 5
dx, n = 4
(a) Trapezoidal Rule (b) Simpson's Rule ­
9.
Question Details
LarApCalc9 6.3.016. [2167856]
­
Approximate the value of the definite integral using the Trapezoidal Rule and Simpson's Rule for the indicated value of n.
Round your answers to three decimal places.
2
4 − x2 dx, n = 8
0
(a) Trapezoidal Rule (b) Simpson's Rule 10.
Question Details
LarApCalc9 6.3.018. [2168016]
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Approximate the value of the definite integral using the Trapezoidal Rule and Simpson's Rule for the indicated value of n.
Round your answers to three decimal places.
2
2
e−x dx, n = 4
0
(a) Trapezoidal Rule (b) Simpson's Rule 11.
Question Details
LarApCalc9 6.3.024. [2167976]
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Use the Simpson's Rule program in Appendix E† with n = 4 to approximate the change in revenue from the marginal
revenue function dR/dx. Assume that the number of units sold x increases from 14 to 16. (Round your answer to two
decimal places.)
dR
= 55
dx
x
25 − x
$ 12.
Question Details
LarApCalc9 6.3.040. [2168074]
Use the Simpson's Rule program in Appendix E† with n = 100 to approximate the definite integral. (Round your answer to
four decimal places.)
3
x2
1
x + 1 dx
­
13.
Question Details
LarApCalc9 6.4.008. [2167888]
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LarApCalc9 6.4.010.MI.SA. [2932920]
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Determine whether the improper integral diverges or converges.
∞ 1
3
5
x
dx
This integral converges.
This integral diverges. Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.) 14.
Question Details
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive
any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise
Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.
∞
0
15.
2
e5x
dx
Question Details
LarApCalc9 6.4.014.MI.SA. [2932818]
­
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive
any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise
Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.
−1
−∞
16.
2
x2
dx
Question Details
LarApCalc9 6.4.018. [2167993]
Determine whether the improper integral diverges or converges.
∞
5
x4e−x dx
−∞
This integral converges.
This integral diverges. Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.) ­
17.
Question Details
LarApCalc9 6.4.022. [2167845]
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LarApCalc9 6.4.034. [2167880]
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Find the area of the unbounded shaded region.
y = ex/5
18.
Question Details
A charitable foundation wants to help schools buy computers. The foundation plans to donate $39,000 each year to one
school beginning one year from now, and the foundation has at most $700,000 to start the fund. The foundation wants the
donation to be given out indefinitely. Assuming an annual interest rate of 6% compounded continuously, does the
foundation have enough money to fund the donation? (Round your answer to two decimal places.)
The amount the foundation needs to fund the donation is $ ---Select---
enough money to start the fund.
Assignment Details
Name (AID): HW8 (10068779)
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Author: Tsuruga, Mimi ( [email protected] )
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Last Saved: Jan 6, 2017 04:34 PM PST
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. ---Select---
, the foundation