Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
You have to find the slope of the tangent line. How do I find the slope for problem 11?
Thanks!
![Is a distance
5]?
he table and
.00001]
= a distance
at t = 3.
of time (in
ween t = 2
What is the
raveled is
3,6] and
5,9] and
ground
sh(t)=
0.5, 2.5]
8. Compute the stone's average velocity over the time intervals [1, 1.05
[1, 1.001], [1, 1.0001] and [0.99, 1], [0.999, 1], [0.9999, 1], and then en
mate the instantaneous velocity at t = 1.
9. The position of a particle at time t is s(t)= 2³. Compute the ave
velocity over the time interval [2, 4] and estimate the instantaneous ve
ity at t = 2.
10. The position of a particle at time t is s(t) = ³ +1. Compute t
erage velocity over the time interval [1,4] and estimate the instant
velocity at t = 1.
In Exercises 11-20, estimate the slope of the tangent line at the pa
cated.
11. f(x) = x² + x; x = 0
13. f(t)= 12t - 7; t = -4
15. y(t) = √3t+1; t = 1
17. f(x)=et; x = e
JT
19. f(x) = tan x; x =
4
12. P(x) = 3x²-5;
14. y(x) =
tontaneous
1
x+2'
20. f(x)= tanx
21. The height (in centimeters) at time t (in seconds) of a so
lating at the end of a spring is h(t) = 3 sin(27t). Estimate i
velocity at t = 4.
16. f(x)=e*; x
18. f(x)= Inx;
22. The height (in centimeters) at time t (in seconds) of
cillating at the end of a spring is h(t) = 8 cos(12πt).
(a) Calculate the mass's average velocity over the tim
and [3,3.5].
velocity at t = 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3f7c47f-f942-4013-9970-37881347efaf%2F9f8dea3a-ab31-487c-9959-7ffba5731961%2Fafidlh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Is a distance
5]?
he table and
.00001]
= a distance
at t = 3.
of time (in
ween t = 2
What is the
raveled is
3,6] and
5,9] and
ground
sh(t)=
0.5, 2.5]
8. Compute the stone's average velocity over the time intervals [1, 1.05
[1, 1.001], [1, 1.0001] and [0.99, 1], [0.999, 1], [0.9999, 1], and then en
mate the instantaneous velocity at t = 1.
9. The position of a particle at time t is s(t)= 2³. Compute the ave
velocity over the time interval [2, 4] and estimate the instantaneous ve
ity at t = 2.
10. The position of a particle at time t is s(t) = ³ +1. Compute t
erage velocity over the time interval [1,4] and estimate the instant
velocity at t = 1.
In Exercises 11-20, estimate the slope of the tangent line at the pa
cated.
11. f(x) = x² + x; x = 0
13. f(t)= 12t - 7; t = -4
15. y(t) = √3t+1; t = 1
17. f(x)=et; x = e
JT
19. f(x) = tan x; x =
4
12. P(x) = 3x²-5;
14. y(x) =
tontaneous
1
x+2'
20. f(x)= tanx
21. The height (in centimeters) at time t (in seconds) of a so
lating at the end of a spring is h(t) = 3 sin(27t). Estimate i
velocity at t = 4.
16. f(x)=e*; x
18. f(x)= Inx;
22. The height (in centimeters) at time t (in seconds) of
cillating at the end of a spring is h(t) = 8 cos(12πt).
(a) Calculate the mass's average velocity over the tim
and [3,3.5].
velocity at t = 3.
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