Test Bank for Calculus Early Transcendentals, 3rd Edition by Briggs (All Chapters included)

Calculus Early Transcendentals, 3rd
Edition by William L. Briggs




Complete Chapter Solutions Manual
are included (Ch 1 to 17)




** Immediate Download
** Swift Response
** All Chapters included

,Table of Contents are given below




1. Functions
2. Limits
3. Derivatives
4. Applications of the Derivative
5. Integration
6. Applications of Integration
7. Logarithmic, Exponential, and
Hyperbolic Functions
8. Integration Techniques
9. Differential Equations
10. Sequences and Infinite Series
11. Power Series
12. Parametric and Polar Curves
13. Vectors and the Geometry of Space
14. Vector-Valued Functions
15. Functions of Several Variables
16. Multiple Integration
17. Vector Calculus

,The test bank is organized in reverse order, with the last chapter displayed first, to ensure that all chapters are included in this
document. (Complete Chapters included Ch17-1)
Exam Chap 17_3e
Name___________________________________


SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Sketch the vector field in the plane along with its horizontal and vertical components at a representative assortment of
points on the circle x2 + y 2 = 4.
1) F = -xi - yj 1)

y x
2) F = i + j 2)
x2 + y 2 x2 + y 2


Parametrize the surface S.
3) S is the portion of the plane -8 x + 8 y + 2z = 4 that lies within the cylinder x2 + y 2 = 9 . 3)


5
4) S is the cap cut from the paraboloid z = - 6 x2 - 6 y 2 by the cone z = x2 + y 2. 4)
6


x2 y 2 z2
5) S is the portion of the cone + = that lies between z = 1 and z = 9 . 5)
9 9 25


6) S is the portion of the cylinder x2 + y 2 = 16 that lies between z = 2 and z = 7. 6)


7) S is the portion of the paraboloid z = 2x2 + 2y 2 that lies between z = 3 and z = 7. 7)

Sketch the vector field in the plane along with its horizontal and vertical components at a representative assortment of
points on the circle x2 + y 2 = 4.
8) F = -xi + yj 8)

Parametrize the surface S.
9) S is the lower portion of the sphere x2 + y 2 + z2 = 25 cut by the cone z = x2 + y 2. 9)

Sketch the vector field in the plane along with its horizontal and vertical components at a representative assortment of
points on the circle x2 + y 2 = 4.
y x
10) F = i - j 10)
x2 + y 2 x2 + y 2


y x
11) F = - i - j 11)
x2 + y 2 x2 + y 2


Parametrize the surface S.
12) S is the portion of the sphere x2 + y 2 + z2 = 100 between z = - 5 2 and z = 5 2. 12)



1

, Chap 17_3e

Sketch the vector field in the plane along with its horizontal and vertical components at a representative assortment of
points on the circle x2 + y 2 = 4.
13) F = xi - yj 13)

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

Evaluate the work done between point 1 and point 2 for the conservative field F.
14) F = 6xi + 6yj + 6 zk; P 1(4, 4, 5 ) , P 2(6 , 9 , 6) 14)
A) W = 288 B) W = - 288 C) W = 0 D) W = 630

Find the gradient field F of the function f.
15) f(x, y, z) = xz + xy + yz 15)
xyz
1 1 1 1 1 1
A) F = i+ j+ k B) F = i+ j+ k
x2 y 2 z2 2
x yz xy z xyz2
2

1 1 1 1 1 1
C) F = - i- j- k D) F = - i- j- k
x2yz xy 2z xyz2 x2 y2 z2


Calculate the flux of the field F across the closed plane curve C.
16) F = xi + yj; the curve C is the circle (x - 1) 2 + (y - 3 ) 2 = 121 16)
A) 0 B) 242! C) 242! + 11 D) 2!

Find the gradient field F of the function f.
5
17) f(x, y, z) = x6 y 5 + x 17)
z2

5 x4 5
A) F = (6 x5 + 5 x4)i + 5 y 4j + 2 k B) F = 6 x5 y 5 + i + 5 x6 y 4j - 2x k
z3 z2 z3

2 2x6
C) F = (6 x5 + 5 x4)i + 5 y 4j - k D) F = 6 x5 y 5 i + 5 x6 y 4j - k
z3 z3


Evaluate the surface integral of G over the surface S.
18) S is the cylinder y 2 + z2 = 144, z ≥ 0 and 3 ≤ x ≤ 9 ; G(x, y, z) = z 18)
A) 1728 B) 144 C) 864 D) 3456

Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.
19) F = 2yi + 7xj + z3 k; C: the counterclockwise path around the perimeter of the triangle in the x-y 19)
plane formed from the x-axis, y-axis , and the line y = 3 - 2x
45 15 45 45
A) - B) C) D)
2 4 4 2




2