a・ /詰da 霊4
TRANSCRIPT
Cal°. Homework Assignment-MGTI
Class:
Student Number:
Name:
1・ Find the inde缶nite integral
a・ /詰da
b・/ 1佃In vkda7
[§7.1 #3, 17]
3. Use the table of integrals t。丘nd or evaluate
integral.
2・ Supposef〝 iscontinuouson [1,3] and ∫(1) - 4・ The commissioner of the City of Newton
2, ∫(3)ニー1, f'(1) - 2, and f'(3)ニー1. Eval- Department ofPublic Works estimates that the
uate
f3a;f〝 (a;)da;
[§7.1 #49]
number of people in the city who have been re-
cycling their magazines in year i followmg the
introduction of the recycling program at the be一
ginning of 2005 is
N(i) -100000
2 + 3e-0・2i'
Find the average number of people who will
have recycled their magazines during the丘rst
5 years since the program was i血roduced.
[§7.2 #39]
(Over Please)
b
は
け
rIJ rIJ.2
"
7
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Calculus Homework Assignme血1
5・ Use the Hapezoidal Rule and Simpson'S 7・ Evaluate improper integral whenever it is
Rule to approximate the value of given de怠- convergent・
・, 1 ノー1 Iヽ∞ 1
a・ f∞ますdeni℃e integrd.Compare your resHt with the exact
value of the integral.
a・ fl÷--4
b・ fl a'ln(a'2 + 1)de,n - 8
[§7・3 #8, 14]
6. Determine whether the statement is true or
魚Ise. If it is true, please provide the reason. If
it isぬIse, glVen an example to show why it is
false.
a. In use the Trapezoidal Rule, the number of
subintervals n must, be even.
b. In use Simpson's Rule, the number of subin-
tervals γ) may be chosen to be odd or even.
[§7・3 #46, 47]
b・ /_: 83(1 + 84)~2da'
[§7・4 #27, 39]
8・ The present value of a perpetual stream of
income that How.s continually at the rate of P(i)
dollars/year is given by the formula
PV=囲 P(i)e~rtdt
where r is the interest rate compounded con-
tinuously. Using this formula, End the present
value of a perpetual net income stream that is
generated at the rate of P(i) - 10000 + 4000t
dollars/year.
[§7・4 #50]
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