2 In 3 19. fe³x dx = A) e³x + c. 3. 3 B) 3e³x + c. C) 3e²x + c. D) e²x + c. E)+c.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
Related questions
Question
please solve question 19
![11. If f(x) = cosh-1(5x), then f'(x) =
A)
5
A)
B)
1
5
C)
25x2+
25x2-1
12. Let f(x) = sinx-cosx. The absolute maximum of f(x) on [0, π] is:
A) 1.
B)√2.
C) 2√2.
D)
13. If (1,3) is the critical point for f(x) = x² + ax + b, then b =
A) 4.
B) 5.
C) -2.
D) 2.
14. If f(5) = 19 and f'(x) ≥ 3 for 1 < x < 5, then f(1) is at most:
A) 3.
B) 4.
C) 5.
D) 7.
3
2 In 3
19. fe³x dx =
A) 2.
5
√25x²+1
17. The function f(x) = 2 + 2x²-x is increasing on:
A) (-∞, -1) only.
B) (-1,0) and (1,00).
D) (1, ∞) only.
E) (-∞, -1) and (0, 1).
18. lim log3 (2x + 1). cot(3x) =
x-0+
A) e³x + c.
20. ²21-3
sinh
dx =
15. The slant asymptote of f(x) =
A) y = x.
B) y = x-3.
C) y = x + 3.
D) y = 10.
E) y = -x.
16. If f(x) = f* (¹ t¹ + 5) dt-x¹, then the inflection point(s) of y = f(x) is(are):
A) x = 4 only.
B) x = 0 and x =
C) x = 0 and x = 4. D) x = 0 only.
2
3 In 3
B):
x²+1
x+3
B) 3e³x + c.
B)-2.
is:
MIN
C)
D)
C) 3e²x + c.
HIN
NIM
D) 3.
E)
D) ²x + c.
D) 0.
√√25x²-1
E) 37.
E) 0.
E) 19.
E) x = only.
C) (0, 1) only.
E) 0.
E) ³x + c.
E
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F592acfe1-c05c-49ff-a4d9-e6dbb45c2808%2Fbe8ca9fe-0da7-4922-abe6-14fa42745d83%2F0i949us_processed.png&w=3840&q=75)
Transcribed Image Text:11. If f(x) = cosh-1(5x), then f'(x) =
A)
5
A)
B)
1
5
C)
25x2+
25x2-1
12. Let f(x) = sinx-cosx. The absolute maximum of f(x) on [0, π] is:
A) 1.
B)√2.
C) 2√2.
D)
13. If (1,3) is the critical point for f(x) = x² + ax + b, then b =
A) 4.
B) 5.
C) -2.
D) 2.
14. If f(5) = 19 and f'(x) ≥ 3 for 1 < x < 5, then f(1) is at most:
A) 3.
B) 4.
C) 5.
D) 7.
3
2 In 3
19. fe³x dx =
A) 2.
5
√25x²+1
17. The function f(x) = 2 + 2x²-x is increasing on:
A) (-∞, -1) only.
B) (-1,0) and (1,00).
D) (1, ∞) only.
E) (-∞, -1) and (0, 1).
18. lim log3 (2x + 1). cot(3x) =
x-0+
A) e³x + c.
20. ²21-3
sinh
dx =
15. The slant asymptote of f(x) =
A) y = x.
B) y = x-3.
C) y = x + 3.
D) y = 10.
E) y = -x.
16. If f(x) = f* (¹ t¹ + 5) dt-x¹, then the inflection point(s) of y = f(x) is(are):
A) x = 4 only.
B) x = 0 and x =
C) x = 0 and x = 4. D) x = 0 only.
2
3 In 3
B):
x²+1
x+3
B) 3e³x + c.
B)-2.
is:
MIN
C)
D)
C) 3e²x + c.
HIN
NIM
D) 3.
E)
D) ²x + c.
D) 0.
√√25x²-1
E) 37.
E) 0.
E) 19.
E) x = only.
C) (0, 1) only.
E) 0.
E) ³x + c.
E
1
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