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Cal°. Homework Assignment-MGT 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 integral. 2・ Supposef〝 iscontinuouson [1,3] and ∫(1) - 4・ The 2, ∫(3)ニー1, f'(1) - 2, and f'(3)ニー1. Eval- Department uate f3 a;f〝 (a;)da; [§7.1 #49] number of people in the city w cycling their magazines in yea introduction of the recycling pr ginning of 2005 is N(i) - 100000 2 + 3e-0・2i' Find the average number of p have recycled their magazines 5 years since the program was [§7.2 #39] (Over Please) bはけ rIJ rIJ.2 " 7 霊4

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Page 1: a・ /詰da 霊4

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

 

rIJ rIJ.2

"

 

7

霊4

Page 2: a・ /詰da 霊4

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]

Page 3: a・ /詰da 霊4

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