9. An equation of the tangent line to the curve x cos(2y) = y sin (2x) at the point (7) is: TL A) y = x + = B) y = x + 7/ C)y= D) y = -1/2 E) y = -x.
9. An equation of the tangent line to the curve x cos(2y) = y sin (2x) at the point (7) is: TL A) y = x + = B) y = x + 7/ C)y= D) y = -1/2 E) y = -x.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
Related questions
Question
please solve question 9
![1. The domain of the function f(x) = ln(2-√√x) is:
A) (-∞0, 4).
B) (-∞0, 4].
C) [0,4).
D) (0, 4].
E) (-∞0,00).
2. Suppose that the graph of f is given. Then the graph of y = f(x - 2) - 2 is obtained by shifting
the graph of f
A) 2 units right then 2 units up.
D) 2 units left then 2 units down. E) None of the above.
3. If log₂ (x) + logo.25(x) = 1, then x =
A) 0 or 2.
B) 0 or 4.
s-¹ (cos ¹) =
4. cos-1
3ex-e-x
6. lim
x--∞ 3e*+5e-*
A) ----
A).
C)
5. Which of the following curves has vertical asymptote?
A) y = √x.
B) y = sin-¹ x.
C) y = tan x.
=
cos2 (y+z)-cos2 y
z
7. lim
Z-0
A) cos² y.
B) 2 units right then 2 units down. C) 2 units left then 2 units up.
2π
B)
C) 2 only.
B) 2 sin y cos y.
C) ----
NA
C) 2 cos y.
D) 4 only.
10. If f(x) = e²x - 3sinh x+m², then f' (In 3) =
A) 13.
B) 18.
C) 23.
D) ST
D) y = e*.
D) 1.
D) - sin(2y).
E) e² only.
D) -18.
E) y = cosh x.
E) 0.
8. If 3x + 2y = 5 is the normal line to f(x) at x = 1, then f'(1) =
A) 5.
B)-3/2.
C) 3/2.
D) -2/3.
E) 2/3.
9. An equation of the tangent line to the curve x cos(2y) = y sin (2x) at the point (1,7) is:
A) y = x + 1/2
B) y = x + 7/
C) y = //
D) y = ---
E) y = -x.
E) cos(2y).
E) 5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e9b0762-fe43-489f-8f35-9c7d6d744ab1%2Fc4e04dbc-a802-490f-b249-dce7cdd565da%2Faynec4r_processed.png&w=3840&q=75)
Transcribed Image Text:1. The domain of the function f(x) = ln(2-√√x) is:
A) (-∞0, 4).
B) (-∞0, 4].
C) [0,4).
D) (0, 4].
E) (-∞0,00).
2. Suppose that the graph of f is given. Then the graph of y = f(x - 2) - 2 is obtained by shifting
the graph of f
A) 2 units right then 2 units up.
D) 2 units left then 2 units down. E) None of the above.
3. If log₂ (x) + logo.25(x) = 1, then x =
A) 0 or 2.
B) 0 or 4.
s-¹ (cos ¹) =
4. cos-1
3ex-e-x
6. lim
x--∞ 3e*+5e-*
A) ----
A).
C)
5. Which of the following curves has vertical asymptote?
A) y = √x.
B) y = sin-¹ x.
C) y = tan x.
=
cos2 (y+z)-cos2 y
z
7. lim
Z-0
A) cos² y.
B) 2 units right then 2 units down. C) 2 units left then 2 units up.
2π
B)
C) 2 only.
B) 2 sin y cos y.
C) ----
NA
C) 2 cos y.
D) 4 only.
10. If f(x) = e²x - 3sinh x+m², then f' (In 3) =
A) 13.
B) 18.
C) 23.
D) ST
D) y = e*.
D) 1.
D) - sin(2y).
E) e² only.
D) -18.
E) y = cosh x.
E) 0.
8. If 3x + 2y = 5 is the normal line to f(x) at x = 1, then f'(1) =
A) 5.
B)-3/2.
C) 3/2.
D) -2/3.
E) 2/3.
9. An equation of the tangent line to the curve x cos(2y) = y sin (2x) at the point (1,7) is:
A) y = x + 1/2
B) y = x + 7/
C) y = //
D) y = ---
E) y = -x.
E) cos(2y).
E) 5.
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