x
Info
x
Warning
x
Danger
 / 
 / 
 / 
Find the double integral over the rectangular region R with the given boundaries. 21) integralintegral((1 + x + y)dxdy))

Question : Find the double integral over the rectangular region R with the given boundaries. 21) integralintegral((1 + x + y)dxdy)) : 2151840

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Evaluate the integral.

1)

A) (136/3)y

B) 44y

C) 4x(4x - 5)

D) 27

2)

A) (e4x+5 - e4x+3/4)

B) (e20+y - e12+y/4)

C) 4(e20 +y - e12+y)

D) e4x+5 - e4x+3

3)

A) (1/6)[(36 +y)3/2 - (18 + y)3/2]

B) (2/3)[(36 +y)3/2 - (18 + y)3/2]

C) (2/3)[(6x + 6)3/2 - (6x + 3)3/2]

D) (1/6)[(6x + 6)3/2 - (6x + 3)3/2]

4)

A) 2x4

B) (32/5)y + 2

C) (42/5)y

D) 2x4 + 2

5)

A) (26/3)y4 - 12

B) (1023/5)x2 + 3x - 9

C) 21y4 - (3/2)

D) (1022/5)x2 + 3x - 9

6)

A) (1/7)e(7y + 2) - (1/7)e(7y - 2)

B) (1/7)e(2x + 7) - (1/7)e(2x - 7)

C) (1/2)e(2x + 7) - (1/2)e(2x - 7)

D) (1/2)e(7y + 2) - (1/2)e(7y - 2)

7)

A) (2/9)(4y + 33)3/2 - (2/9)(4y + 6)3/2

B) (2/27)(4y + 33)3/2 - (2/27)(4y + 6)3/2

C) (1/6)(3x + 44)3/2 - (1/6)(3x + 8)3/2

D) (1/18)(3x + 44)3/2 - (1/18)(3x + 8)3/2

8)

A) (1/2)[e(x + 49) - e(x + 1)]

B) (1/2)[e(7 + y2) - e(1 + y2)]

C) y[e(7 + y^2) - e(1 + y^2)]

D) 7e(x + 49) - e(x + 1)

9)

A) (1/3)[12(144 + 5y)3/2 - (1 + 5y)3/2]

B) (2/3)[(144 + 5y)3/2 - (1 + 5y)3/2]

C) (1/3)[(144 + 5y)3/2 - (1 + 5y)3/2]

D) (1/3)[(x2 + 12)3/2 - (x2 + 1)3/2]

10)

A) (1/6)(7x + 1)3/2 - (1/6)(7x + 7)3/2

B) (2/21)y(y2 + 7)3/2 - (2/21)y4

C) (1/3)(7x + 1)3/2 - (1/3)(7x)3/2

D) (2/15)y(y2 + 7)3/2 - (2/15)(y2 + 1)3/2

Evaluate the iterated integral.

11)

A) 200

B) 40

C) 2000

D) 400

12)

A) (145/2)

B) (43/2)

C) 110

D) (81/2)

13)

A) (405/4)

B) (81/4)

C) 405

D) (405/2)

14)

A) 27

B) 81

C) 243

D) 729

15)

A) - (4921/6)

B) (4921/6)

C) (4655/6)

D) - (4655/6)

16)

A) (88/3)

B) 48

C) 12

D) 20

17)

A) (1/6)ln3

B) ln18

C) ln3ln6

D) 6ln3

18)

A) (205/6)

B) (211/6)

C) (209/6)

D) (203/6)

19)

A) (21/2)ln4 + (168/3)

B) 45 + (15/2)ln5

C) 45 + (15/2)ln5 - (15/2)ln2

D) (21/2)ln4 + 42

20)

A) (2/15)(155/2 - 1)

B) (2/105)(155/2 - 145/2 )

C) (2/105)(155/2 - 145/2 - 1)

D) (2/15)(155/2 - 145/2 - 1)

Find the double integral over the rectangular region R with the given boundaries.

21) ∫∫((1 + x + y)dxdy))

R

0 ≤ x ≤ 3, 0 ≤ y ≤ 4

A) (27/2)

B) 54

C) (49/2)

D) 38

22) ∫∫((2xy)dxdy))

R

0 ≤ x ≤ 5, 0 ≤ y ≤ 1

A) (25/4)

B) (25/2)

C) 25

D) 50

23) ∫∫((x2 + y2)dxdy))

R

0 ≤ x ≤ 2, -3 ≤ y ≤ 1

A) (88/3)

B) 48

C) 20

D) 12

24) ∫∫((1/(x + 1)(y + 1))dxdy))

R

0 ≤ x ≤ 7, 0 ≤ y ≤ 2

A) ln8ln3

B) ln24

C) 3ln8

D) (1/3)ln8

25) ∫∫((x/y)dxdy))

R

0 ≤ x ≤ 1, 1 ≤ y ≤ e

A) (1/2)

B) (3/2)

C) 2

D) 1

26) ∫∫((x4y + y)dxdy))

R

0 ≤ x ≤ 2, 0 ≤ y ≤ 3

A) (189/5)

B) (144/5)

C) (126/5)

D) (128/5)

27) ∫∫((x + x2y4 - 3)dydx))

R

0 ≤ x ≤ 1, 0 ≤ y ≤ 2

A) (14/15)

B) - (43/15)

C) (11/15)

D) (13/15)

28) ∫∫(3x2e(x^3 + 5y)dxdy))

R

0 ≤ x ≤ 1, 0 ≤ y ≤ 1

A) (1/5)(e6 - e5 - e - 1)

B) (1/5)(e6 - e5 - e + 1)

C) (1/4)(e5 - e4 - e + 1)

D) (1/4)(e5 - e4 - e - 1)

29) ∫∫((8/(x + y)3)dxdy))

R

0 ≤ x ≤ 1, 1 ≤ y ≤ 2

A) (4/5)

B) (7/2)

C) (9/2)

D) (4/3)

Solution
5 (1 Ratings )

Solved
Calculus 1 Month Ago 21 Views
This Question has Been Answered!

Related Answers
Unlimited Access Free
Explore More than 2 Million+
  • Textbook Solutions
  • Flashcards
  • Homework Answers
  • Documents
Signup for Instant Access!
Ask an Expert
Our Experts can answer your tough homework and study questions
4552 Calculus Questions Answered!
Post a Question