1. An equation representing a function that extends from quadrant 1 to quadrant 3 is а. ア=2r с. y = 5x6 b. y=-6x d. y =-4x4
1. An equation representing a function that extends from quadrant 1 to quadrant 3 is а. ア=2r с. y = 5x6 b. y=-6x d. y =-4x4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![1. An equation representing a function that extends from quadrant 1 to quadrant 3 is
y = 2x3
y = 5x6
а.
с.
b.
y =-6x5
d.
y =-4x4
2. What is the degree and lead coefficient of f (x) = -2x + 5x² – 6x3 + 10?
y4
a. degree 1 with a lead coefficient of – 1
c. degree 3 with a lead coefficient of –6
-8
b. degree 3 with a lead coefficient of 6
d. degree 6 with a lead coefficient of – 1
4
3. An equation for the graph shown to the right is:
y =x'(x – 3)
4
y = x'(x – 3)³
а.
с.
b.
y = x(x – 3)³
d.
y = -x*(x – 3)
4. The graph of the function y = x* is transformed to the graph of the function y = -[2(x + 3)]ª + 1 by
a. a vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
b. a horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
c. a horizontal compression by a factor of
1
a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up
d.a horizontal compression by a factor of
a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
1
5. State the equation of f(x) if D = {x €R|x + } and the y-intercept is (0,
2
2x + 1
X- 1
X+ 1
2x + 1
Ax) = *
Ax) = **
а.
Ax)
Зх — 2
b.
Ax)
Зх - 2
с.
Зх + 2
d.
Зх + 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70562eea-c2fb-4751-9e42-c7c37c89fd29%2F492fdc84-2dd7-4ac1-8503-6f40209b0826%2Fr7nu2h5_processed.png&w=3840&q=75)
Transcribed Image Text:1. An equation representing a function that extends from quadrant 1 to quadrant 3 is
y = 2x3
y = 5x6
а.
с.
b.
y =-6x5
d.
y =-4x4
2. What is the degree and lead coefficient of f (x) = -2x + 5x² – 6x3 + 10?
y4
a. degree 1 with a lead coefficient of – 1
c. degree 3 with a lead coefficient of –6
-8
b. degree 3 with a lead coefficient of 6
d. degree 6 with a lead coefficient of – 1
4
3. An equation for the graph shown to the right is:
y =x'(x – 3)
4
y = x'(x – 3)³
а.
с.
b.
y = x(x – 3)³
d.
y = -x*(x – 3)
4. The graph of the function y = x* is transformed to the graph of the function y = -[2(x + 3)]ª + 1 by
a. a vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
b. a horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
c. a horizontal compression by a factor of
1
a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up
d.a horizontal compression by a factor of
a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
1
5. State the equation of f(x) if D = {x €R|x + } and the y-intercept is (0,
2
2x + 1
X- 1
X+ 1
2x + 1
Ax) = *
Ax) = **
а.
Ax)
Зх — 2
b.
Ax)
Зх - 2
с.
Зх + 2
d.
Зх + 2
![6. Use your calculator to determine the value of csc 0.71, to three decimal places.
0.012
а.
0.652
b.
1.534
с.
d.
80.700
7. Which compound angle formula is the easiest to use to develop the expression Cos a- sin e?
а.
addition formula for sine
с.
subtraction formula for sine
b.
addition formula for cosine
d.
subtraction formula for cosine
8. Which of the following expressions is NOT equivalent to sin 75°?
sin 45° + sin 30°
sin 105°
а.
с.
b.
sin(45° + 30°)
d.
sin 45° cos 30° + sin 30° cos 45°
9. Which of these is a possible solution for secx-2 = 0 in the interval x e [0,21]?
2.
X =
3
X =
3
а.
с.
b.
X =
3
d.
X =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70562eea-c2fb-4751-9e42-c7c37c89fd29%2F492fdc84-2dd7-4ac1-8503-6f40209b0826%2Fe7b84v4_processed.png&w=3840&q=75)
Transcribed Image Text:6. Use your calculator to determine the value of csc 0.71, to three decimal places.
0.012
а.
0.652
b.
1.534
с.
d.
80.700
7. Which compound angle formula is the easiest to use to develop the expression Cos a- sin e?
а.
addition formula for sine
с.
subtraction formula for sine
b.
addition formula for cosine
d.
subtraction formula for cosine
8. Which of the following expressions is NOT equivalent to sin 75°?
sin 45° + sin 30°
sin 105°
а.
с.
b.
sin(45° + 30°)
d.
sin 45° cos 30° + sin 30° cos 45°
9. Which of these is a possible solution for secx-2 = 0 in the interval x e [0,21]?
2.
X =
3
X =
3
а.
с.
b.
X =
3
d.
X =
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