Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.5: Graphing Rational Functions
Problem 36PS
Related questions
Question
![2
7. Give the general antiderivative: f (3x2 –+ tan?x) dx
VT
8. Show the work in evaluating the definite integral: N" t sin(t?) dt
9. An object moves along an axis and the position is measured in meters. The velocity
function is v(t) = -2t + 1 for t>0. If at timet=2 the position is 4 meters, show the work
in finding the position function denoted by s(t)
10. A function, y =f(x), is continuous and differentiable on (-o, 0). It is known that:
f'(x) > 0 on (-2, 4)
f'(x) < 0 on (-0, -2) and on (4, 0)
a) At what x-value is there a relative (local) maximum value? If there is no relative max,
say so.
b) At what x-value is there a relative (local minimum value? If there is no relative min,
say so.
11. Use integration to find the area that is enclosed by the curves y = x and y = Vx.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70c09f85-e389-49e5-81c0-b51afa4e5919%2F6020b144-fd01-4038-b04d-500dfddbaee7%2Fqxt65o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2
7. Give the general antiderivative: f (3x2 –+ tan?x) dx
VT
8. Show the work in evaluating the definite integral: N" t sin(t?) dt
9. An object moves along an axis and the position is measured in meters. The velocity
function is v(t) = -2t + 1 for t>0. If at timet=2 the position is 4 meters, show the work
in finding the position function denoted by s(t)
10. A function, y =f(x), is continuous and differentiable on (-o, 0). It is known that:
f'(x) > 0 on (-2, 4)
f'(x) < 0 on (-0, -2) and on (4, 0)
a) At what x-value is there a relative (local) maximum value? If there is no relative max,
say so.
b) At what x-value is there a relative (local minimum value? If there is no relative min,
say so.
11. Use integration to find the area that is enclosed by the curves y = x and y = Vx.
![The graph to the left shows y = f(x)
and is to be used for problems 1 and 2
6.
4
-12 -10 -8 -6 F4 -2
2.
10
12
4
6
-1
-2
-3
-4
-5
1. Using the graph above, where is f discontinuous? If it is continuous everywhere say so.
2. Using the graph above, give the limit or say it does not exist: lim_f(x)
x--2-
x2-25
3. Find the limit or say is does not exist (show supporting work): lim
x-5 3x-15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70c09f85-e389-49e5-81c0-b51afa4e5919%2F6020b144-fd01-4038-b04d-500dfddbaee7%2Fdraos67_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The graph to the left shows y = f(x)
and is to be used for problems 1 and 2
6.
4
-12 -10 -8 -6 F4 -2
2.
10
12
4
6
-1
-2
-3
-4
-5
1. Using the graph above, where is f discontinuous? If it is continuous everywhere say so.
2. Using the graph above, give the limit or say it does not exist: lim_f(x)
x--2-
x2-25
3. Find the limit or say is does not exist (show supporting work): lim
x-5 3x-15
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