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...
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Question
23 25 31
Transcribed Image Text:35.
(a) Find an eq
that has slo
(b) Writing to Learn Describe what happens to the tangent at
of a communi-
elow.
x = a as a changes.
(b) Find an equ
that has slo
19. y = x2 + 2
20. y = 2/x
1
21. у %3D
x - 1
36. Finding Tanc
y = 9 - x² the
age D of a mec
and interpret th
dosage when C
22. y = 9 - x?
37. Sensitivity A
Find the instantaneous rate of change of the position function
y = f(t) in feet at the given time t in seconds.
38. Sensitivity It
ity of v feet per
H = v²/64 fee
the initial veloc
23. f(t) = 3t- 7, t = 1
24. f(t) = 3t2 + 2t, t 3
t + 1
25. f(t)
t = 2
t.
39. Table 2.2 gives
millions of bus.
26. f(t) = t3 - 1, t= 2
27. Free Fall An object is dropped from the top of a 100-m tower.
Its height above ground after t sec is 100 - 4.9t2 m. How fast is
it falling 2 sec after it is dropped?
28. Rocket Launch At t sec after lift-off, the height of a rocket is
3t2 ft. How fast is the rocket climbing after 10 sec?
T
d normal
29. Area of Circle What is the rate of change of the area
of a circle with respect to the radius when the radius is
r = 3 in.?
x = 1
30. Volume of Sphere What is the rate of change of the volume
of a sphere with respect to the radius when the radius is
r = 2 in.?
at x = 0
31. Free Fall on Mars The equation for free fall at the surface
of Mars is s = 1.86t² m with t in seconds. Assume a rock is
dropped from the top of a 200-m cliff. Find the speed of the rock
eindicated
Source
Resear
at t = 1 sec.
(a) Make a scat
(b) Let P repres
correspondi:
and Q3 the p
secant line
40. Table 2.3 gives
angent at the
vhy not.
lars for national
TABLE
32. Free Fall on Jupiter The equation for free fall at the surfeee
of Jupiter is s = 11.4412 m with
dropped from the top of a 500-
at t = 2 sec.
Year
ds. Assume a rock is
the speed of the rock
2008
2009
33. Horizontal Tangent At wh
f(x) = x2 + 4x - 1 horizont
tangent
2010
rizontal TangentAt wh
201
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