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...
Related questions
Question
please solve question 22 and 23
![Q14) [2x¹(1+x²)" dx-A) (1+x¹)¹¹
+C B)
+()
11
10
10
Q15) f f(x)=x+cosx, xe [0, z], then the function has an inflection point at x A) "
11)
Q16) Find the value for a, b it f(x)=ax' +4x²+bx has stationary post at x-1, and inflection poim
A) a=-2,b=20
B) a=-2,b=-20 C) a=2,b=-20
D) a=2,b-20
Q17) The slope of the tangent line of the curve x² + y²-5 at the point (1,-2)-4) 2
√√4x+4-√√5x+1
Q18) if f(x)=
**3
x-3
and if f(x) is continuous everywhers. Find the value for
k
B) 1
CO
D)
8
300
Q19) Use local linear approximation to find an approximation value for √8.9
319
6
A)
B)
01
80
80
60
(20) If the graph of the function f(x) is stretched vertically by a factor 2 and then translated 4 units left, then the equat
A) 2/(x-4)
3)(x-4)
((x-2)
(0)/(x+2) (0) 2/(x+4)
021) Which of the following is an odd function
Al cos.xsin x
secx
c) x² +cox co
022) Find the range for the function f(x)=2+3√4-xa
A) (-0,2]
B) (-2,5]
cos.r
1
023) lim
A)
D)
C) 0
Dj 1
3-452x-n
9:24) Find f(x)./'(x) =
f(1) =-2 (4) +1
(D)
(1) +1 (0)
4
x
(25) The graph of the function f(x) is shown in the following figure Find an interval in which >0, and/">0
-M
(A) [a,b]. (B) [b.d]
(D) [a,c]
[b.c]
dy
Cty=sin(2-0).find (A) 3sin¹ (-0) (B)-3sin' (-0) cos(-0) (0)-2000 (2-0)
40
(27) Which of the following figures has ( Critical point, Stationary point, Relative mira
(9)
(A)
(B)
A
M](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa91bba20-ccf9-4032-be79-d11ac4ee1610%2F99961f3b-6b28-4775-a8fb-7b60b9c74fe1%2F3qo5bzl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q14) [2x¹(1+x²)" dx-A) (1+x¹)¹¹
+C B)
+()
11
10
10
Q15) f f(x)=x+cosx, xe [0, z], then the function has an inflection point at x A) "
11)
Q16) Find the value for a, b it f(x)=ax' +4x²+bx has stationary post at x-1, and inflection poim
A) a=-2,b=20
B) a=-2,b=-20 C) a=2,b=-20
D) a=2,b-20
Q17) The slope of the tangent line of the curve x² + y²-5 at the point (1,-2)-4) 2
√√4x+4-√√5x+1
Q18) if f(x)=
**3
x-3
and if f(x) is continuous everywhers. Find the value for
k
B) 1
CO
D)
8
300
Q19) Use local linear approximation to find an approximation value for √8.9
319
6
A)
B)
01
80
80
60
(20) If the graph of the function f(x) is stretched vertically by a factor 2 and then translated 4 units left, then the equat
A) 2/(x-4)
3)(x-4)
((x-2)
(0)/(x+2) (0) 2/(x+4)
021) Which of the following is an odd function
Al cos.xsin x
secx
c) x² +cox co
022) Find the range for the function f(x)=2+3√4-xa
A) (-0,2]
B) (-2,5]
cos.r
1
023) lim
A)
D)
C) 0
Dj 1
3-452x-n
9:24) Find f(x)./'(x) =
f(1) =-2 (4) +1
(D)
(1) +1 (0)
4
x
(25) The graph of the function f(x) is shown in the following figure Find an interval in which >0, and/">0
-M
(A) [a,b]. (B) [b.d]
(D) [a,c]
[b.c]
dy
Cty=sin(2-0).find (A) 3sin¹ (-0) (B)-3sin' (-0) cos(-0) (0)-2000 (2-0)
40
(27) Which of the following figures has ( Critical point, Stationary point, Relative mira
(9)
(A)
(B)
A
M
![Q14) 2x (1+x²) x-(1-x²)
(1+x²)
(1+x²) (1+x²)
+CH
+00)
(1+x²)" (1+x)"
11
10
+CD)
11
10
12
1.1
015) 11/(x)=x+cosx, xe[0, ], then the function has an inflection point at x A)-
# 3r x
B) 9)
D) #
2 2 3
Q16) Find the value for a,b it f(x)=ax' +4x²+bx has stationary point atx-1, and inflection point atx=1
A) a=-2,b=20
B) a=-2,b=-20 Ca=2,b=-20
D) a=2,b=20
Q17) The slope of the tangent line of the curvex+y=5 at the point (1,-2)- A)
5 1
(11) G
√4x+4- √5x+1
x*3
Q18) ir f(x)=-
x-3
and it f(x) is continuous everywhere. Find the value for k
k
x=3
A)
3) 1
CHO
D)
6
300
319
61
DI
C)
Ai
Q19) Use local linear approximation to find an approximation value for √8.9
B)
80
80
60
(20) If the graph of the function f(x) is stretched vertically by a factor 2 and then translated 4 units left, then the equation of the new fo
(A) 2/(x-4)
()/(x+4)
((x+2) (D) 2/ (x+4)
A) cos xsin x
Bi secx
©r+cosx
D300s
021) Which of the following is an odd function
[2,00)
D)
022) Find the range for the function f(x)=2-3√/4-xat A1 (-0,2]
COS.X
3
023) lim
B)
D) 1
C) 0
21-4
(24) Find /(x),
(x)=(1)=-2 (1-
+1
(11)
(C)
(D)
(25) The graph of the function f(x) is shown in the following figure Find an jenerval in which f'>0, and f*>0
(A) [a,b]. (n) [b,d]
~/(x)
(0) [b.c]
(D) [a,c]
dy
(26) If y=sin(-0).find
(A) 3sin' (-0) (B) -3sin (-0) cos(-0) (c)-2cos' (-0) a
do
(27) Which of the following figures has (Critical point, Stationary point, Relative minimum) at XX
(A)
(B)
(C)
(D)
A>
A
C
A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa91bba20-ccf9-4032-be79-d11ac4ee1610%2F99961f3b-6b28-4775-a8fb-7b60b9c74fe1%2F7l7tino_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q14) 2x (1+x²) x-(1-x²)
(1+x²)
(1+x²) (1+x²)
+CH
+00)
(1+x²)" (1+x)"
11
10
+CD)
11
10
12
1.1
015) 11/(x)=x+cosx, xe[0, ], then the function has an inflection point at x A)-
# 3r x
B) 9)
D) #
2 2 3
Q16) Find the value for a,b it f(x)=ax' +4x²+bx has stationary point atx-1, and inflection point atx=1
A) a=-2,b=20
B) a=-2,b=-20 Ca=2,b=-20
D) a=2,b=20
Q17) The slope of the tangent line of the curvex+y=5 at the point (1,-2)- A)
5 1
(11) G
√4x+4- √5x+1
x*3
Q18) ir f(x)=-
x-3
and it f(x) is continuous everywhere. Find the value for k
k
x=3
A)
3) 1
CHO
D)
6
300
319
61
DI
C)
Ai
Q19) Use local linear approximation to find an approximation value for √8.9
B)
80
80
60
(20) If the graph of the function f(x) is stretched vertically by a factor 2 and then translated 4 units left, then the equation of the new fo
(A) 2/(x-4)
()/(x+4)
((x+2) (D) 2/ (x+4)
A) cos xsin x
Bi secx
©r+cosx
D300s
021) Which of the following is an odd function
[2,00)
D)
022) Find the range for the function f(x)=2-3√/4-xat A1 (-0,2]
COS.X
3
023) lim
B)
D) 1
C) 0
21-4
(24) Find /(x),
(x)=(1)=-2 (1-
+1
(11)
(C)
(D)
(25) The graph of the function f(x) is shown in the following figure Find an jenerval in which f'>0, and f*>0
(A) [a,b]. (n) [b,d]
~/(x)
(0) [b.c]
(D) [a,c]
dy
(26) If y=sin(-0).find
(A) 3sin' (-0) (B) -3sin (-0) cos(-0) (c)-2cos' (-0) a
do
(27) Which of the following figures has (Critical point, Stationary point, Relative minimum) at XX
(A)
(B)
(C)
(D)
A>
A
C
A
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