graph of f at (a, f(a)). Describe the parallels between finding the instantaneous of an object at a point in time and finding the slope of the line tan- gent to the graph of a function at a point on the graph. T 13. 5. Graph the parabola f(x) = x². Explain why the secant lines between the points (-a, f(-a)) and (a, f(a)) have zero slope. What is the slope of the tangent line at x = 0? %3D 6. T 14 Basic Skills Average velocity The function s(t) represents the position of an object at time t moving along a line. Suppose s(2) = 136 and s(3) = 156. Find the average velocity of the object over the inter- val of time 2, 3]. 7. inognst Average velocity The function s(t) represents the position of an object at time t moving along a line. Suppose s(1) = 84 and s(4) = 144. Find the average velocity of the object over the inter- val of time [1, 4]. 8. T 15 9. Average velocity The position of an object moving along a line is given by the function s(t) = -16t2 + 128t. Find the average velocity of the object over the following intervals. a. [1,4 c. [1,2] b. [1,3] d. [1,1 + h], where h > 0 is a real number 10. Average velocity The position of an object moving along a line is given by the function s(t) = -4.9t2 + 30t + 20. Find the average velocity of the object over the following intervals. a. [0,3] c. [0, 1] T 1 b. [0, 2] d. 0, h|, where h > 0 is a real number 11. Average velocity The table gives the position s(t) of an object moving along a line at time t, over a two-second interval. Find the average velocity of the object over the following intervals. a. [0, 2] b. [0, 1.5] c. [0, 1] d. [0, 0.5] IT (08 4.
graph of f at (a, f(a)). Describe the parallels between finding the instantaneous of an object at a point in time and finding the slope of the line tan- gent to the graph of a function at a point on the graph. T 13. 5. Graph the parabola f(x) = x². Explain why the secant lines between the points (-a, f(-a)) and (a, f(a)) have zero slope. What is the slope of the tangent line at x = 0? %3D 6. T 14 Basic Skills Average velocity The function s(t) represents the position of an object at time t moving along a line. Suppose s(2) = 136 and s(3) = 156. Find the average velocity of the object over the inter- val of time 2, 3]. 7. inognst Average velocity The function s(t) represents the position of an object at time t moving along a line. Suppose s(1) = 84 and s(4) = 144. Find the average velocity of the object over the inter- val of time [1, 4]. 8. T 15 9. Average velocity The position of an object moving along a line is given by the function s(t) = -16t2 + 128t. Find the average velocity of the object over the following intervals. a. [1,4 c. [1,2] b. [1,3] d. [1,1 + h], where h > 0 is a real number 10. Average velocity The position of an object moving along a line is given by the function s(t) = -4.9t2 + 30t + 20. Find the average velocity of the object over the following intervals. a. [0,3] c. [0, 1] T 1 b. [0, 2] d. 0, h|, where h > 0 is a real number 11. Average velocity The table gives the position s(t) of an object moving along a line at time t, over a two-second interval. Find the average velocity of the object over the following intervals. a. [0, 2] b. [0, 1.5] c. [0, 1] d. [0, 0.5] IT (08 4.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 47E
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Hello! The question Ineed help with is #9
![graph of f at (a, f(a)).
Describe the parallels between finding the instantaneous
of an object at a point in time and finding the slope of the line tan-
gent to the graph of a function at a point on the graph.
T 13.
5.
Graph the parabola f(x) = x². Explain why the secant lines
between the points (-a, f(-a)) and (a, f(a)) have zero slope.
What is the slope of the tangent line at x = 0?
%3D
6.
T 14
Basic Skills
Average velocity The function s(t) represents the position of an
object at time t moving along a line. Suppose s(2) = 136 and
s(3) = 156. Find the average velocity of the object over the inter-
val of time 2, 3].
7.
inognst
Average velocity The function s(t) represents the position of
an object at time t moving along a line. Suppose s(1) = 84 and
s(4) = 144. Find the average velocity of the object over the inter-
val of time [1, 4].
8.
T 15
9. Average velocity The position of an object moving along a line
is given by the function s(t) = -16t2 + 128t. Find the average
velocity of the object over the following intervals.
a. [1,4
c. [1,2]
b. [1,3]
d. [1,1 + h], where h > 0 is a real number
10. Average velocity The position of an object moving along a line
is given by the function s(t) = -4.9t2 + 30t + 20. Find the
average velocity of the object over the following intervals.
a. [0,3]
c. [0, 1]
T 1
b. [0, 2]
d. 0, h|, where h > 0 is a real number
11. Average velocity The table gives the position s(t) of an object
moving along a line at time t, over a two-second interval. Find the
average velocity of the object over the following intervals.
a. [0, 2]
b. [0, 1.5]
c. [0, 1]
d. [0, 0.5]
IT
(08
4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3a80c5b-2232-4f88-bef6-82cf6e3f5db1%2Ff9dd7c20-df1d-4872-a1ab-258b4580fb59%2F050cms9.jpeg&w=3840&q=75)
Transcribed Image Text:graph of f at (a, f(a)).
Describe the parallels between finding the instantaneous
of an object at a point in time and finding the slope of the line tan-
gent to the graph of a function at a point on the graph.
T 13.
5.
Graph the parabola f(x) = x². Explain why the secant lines
between the points (-a, f(-a)) and (a, f(a)) have zero slope.
What is the slope of the tangent line at x = 0?
%3D
6.
T 14
Basic Skills
Average velocity The function s(t) represents the position of an
object at time t moving along a line. Suppose s(2) = 136 and
s(3) = 156. Find the average velocity of the object over the inter-
val of time 2, 3].
7.
inognst
Average velocity The function s(t) represents the position of
an object at time t moving along a line. Suppose s(1) = 84 and
s(4) = 144. Find the average velocity of the object over the inter-
val of time [1, 4].
8.
T 15
9. Average velocity The position of an object moving along a line
is given by the function s(t) = -16t2 + 128t. Find the average
velocity of the object over the following intervals.
a. [1,4
c. [1,2]
b. [1,3]
d. [1,1 + h], where h > 0 is a real number
10. Average velocity The position of an object moving along a line
is given by the function s(t) = -4.9t2 + 30t + 20. Find the
average velocity of the object over the following intervals.
a. [0,3]
c. [0, 1]
T 1
b. [0, 2]
d. 0, h|, where h > 0 is a real number
11. Average velocity The table gives the position s(t) of an object
moving along a line at time t, over a two-second interval. Find the
average velocity of the object over the following intervals.
a. [0, 2]
b. [0, 1.5]
c. [0, 1]
d. [0, 0.5]
IT
(08
4.
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