dx 16) Using algebraic substitution, which of the following will effectively evaluate Vi+ B. :% 17) Using algebraic substitution in number 16, the integral expression becomes B. S4,dz A. : C. :x% D. A.Sdz C.Sdz D. f- zp- 2x+3 18) What method of integration would you use to evaluate the f A. Integration by Parts B. Half Angle substitution dx ? 3x' +4x +x C. Integration by Partial Fraction D. Trigonometric substitution

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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dx
16) Using algebraic substitution, which of the following will effecetively evaluate
Vi+
B. :-%
17) Using algebraic substitution in number 16, the integral expression becomes
B. dz
C. :xX
A.
D. :-
A.dz
c. dz
D. dz
+1
2x+3
18) What method of integration would you use to evaluate the f:
A. Integration by Parts
B. Half Angle substitution
19) S -Sdx + dx, then values of A, B and C respectively are
-dx ?
3x' +4x +x
C. Integration by Partial Fraction
D. Trigonometric substitution
Bx+C
x(x²+1)
A. 0, 1, 1
20) Using integration by parts, if f cos(Inx)dx = uv+ J sin(ln x)dx, what is uv?
A. cos(In x)
21) Using half angle substitution, f-
A. S-
22) , * xdydx = ?
2+1
В. -1, 1, 0
С. -1, 0, 1
D. 1, -1,0
B. xcos(In x)
c. cos(In x)
D. e"cos(Inx)
dx
,the new integral expression becomes
1-sin 2x-cos 2x
2da
В.
Z(2-1)
dz
dz
dz
c. S7
2z(z-1)
D. S7
z(2-1)
(x+1
A. 1/3
Given the figure:
С. 32
D. 5/6
B.
23)The area of R2 using vertical strip is given by
A. [-*
c. [5-y»
R1
y= X
R3
24) The area of R3 using horizontal strip is
A. r'dx
B. (x-x' }tx
R2
D. f (5-1k
25) If R2 is revolved about the x-axis using a horizontal strip, the solid of revolution formed is
A. disk
26) If R2 is revolved about the line y=0 using vertical strip, the solid of revolution formed is
B. ring
C. cylindrical shell
B. ring
C. cylindrical shell
A. disk
27) If the solid of revolution formed by rotating R2 about the y-axis is a cylindrical shell, then the
height of the shell is
A. h=x-r
28) If the solid of revolution formed by rotating R3 about the line y=1 using ring method, the outer
B. h=x+x
C.h =x'-x
radius and inner radius are as follows:
A. R = 1, r= 1-x'
29) The volume of the solid by revolving the area of R3 about the x-axis using vertical strip is
A. nf x* dx
B. R = 1-x,r=1
C.R=1, r=x'-1
B. z f, x*dx
C. 2n f x*dx
D. n f, x*dx
30) The area of RI is
A. % sq. unit
B. 1/3 sq. unit
C.1 sq. unit
D. 2 sq. units
Transcribed Image Text:dx 16) Using algebraic substitution, which of the following will effecetively evaluate Vi+ B. :-% 17) Using algebraic substitution in number 16, the integral expression becomes B. dz C. :xX A. D. :- A.dz c. dz D. dz +1 2x+3 18) What method of integration would you use to evaluate the f: A. Integration by Parts B. Half Angle substitution 19) S -Sdx + dx, then values of A, B and C respectively are -dx ? 3x' +4x +x C. Integration by Partial Fraction D. Trigonometric substitution Bx+C x(x²+1) A. 0, 1, 1 20) Using integration by parts, if f cos(Inx)dx = uv+ J sin(ln x)dx, what is uv? A. cos(In x) 21) Using half angle substitution, f- A. S- 22) , * xdydx = ? 2+1 В. -1, 1, 0 С. -1, 0, 1 D. 1, -1,0 B. xcos(In x) c. cos(In x) D. e"cos(Inx) dx ,the new integral expression becomes 1-sin 2x-cos 2x 2da В. Z(2-1) dz dz dz c. S7 2z(z-1) D. S7 z(2-1) (x+1 A. 1/3 Given the figure: С. 32 D. 5/6 B. 23)The area of R2 using vertical strip is given by A. [-* c. [5-y» R1 y= X R3 24) The area of R3 using horizontal strip is A. r'dx B. (x-x' }tx R2 D. f (5-1k 25) If R2 is revolved about the x-axis using a horizontal strip, the solid of revolution formed is A. disk 26) If R2 is revolved about the line y=0 using vertical strip, the solid of revolution formed is B. ring C. cylindrical shell B. ring C. cylindrical shell A. disk 27) If the solid of revolution formed by rotating R2 about the y-axis is a cylindrical shell, then the height of the shell is A. h=x-r 28) If the solid of revolution formed by rotating R3 about the line y=1 using ring method, the outer B. h=x+x C.h =x'-x radius and inner radius are as follows: A. R = 1, r= 1-x' 29) The volume of the solid by revolving the area of R3 about the x-axis using vertical strip is A. nf x* dx B. R = 1-x,r=1 C.R=1, r=x'-1 B. z f, x*dx C. 2n f x*dx D. n f, x*dx 30) The area of RI is A. % sq. unit B. 1/3 sq. unit C.1 sq. unit D. 2 sq. units
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