Show that y equivalent. 32. Suppose f(w/3 sec 0 12. y X So 1-sin x 1+ sec 0 %3D I sin t 14. y 33-34 For what v 16. y x sin x tan x aula tangent? 15. f(x) = xe" csc x -m- =-Csc x cot x. + * = (X)/ ' (csc x) 17. Prove that 35. A mass on xp level surfae (sec x) = sec x tan x. 18. Prove that xp (a) Find th (b) Find t (cot x) -csc?x. 19. Prove that xp at tim mil time" = COS X, then f'(x) = -sin x. 4. 24 Find an equation of the tangent line to the curve at the given point. (T/3, 2) 22. y = e* cos x, (0,1) 21. y = sec x, 23. y = cos x – sin x, (T, -1) 24. y = x + tan x, (7, T) 36. An e %3D lowe 25. (a) Find an equation of the tangent line to the curve y = 2x sin x at the point (T/2, T). (b) Illustrate part (a) by graphing the curve and the tangent to " line on the same screen. (a 26. (a) Find an equation of the tangent line to the curve y = 3x + 6 cos x at the point (T/3, + 3). (b) Illustrate part (a) by graphing the curve and the tangent %3D line on the same screen. 27. (a) If f(x) = sec x - x, find f'(x). (b) Check to see that your answer to part (a) is reasonable by graphing both f and f' for |x< T/2. 37. 28. (a) If f(x) = e* cos x, find f'(x) and f"(4). (0) Check to see that your answers to pat (a) are reasaable by graphing f, f', and f".
Show that y equivalent. 32. Suppose f(w/3 sec 0 12. y X So 1-sin x 1+ sec 0 %3D I sin t 14. y 33-34 For what v 16. y x sin x tan x aula tangent? 15. f(x) = xe" csc x -m- =-Csc x cot x. + * = (X)/ ' (csc x) 17. Prove that 35. A mass on xp level surfae (sec x) = sec x tan x. 18. Prove that xp (a) Find th (b) Find t (cot x) -csc?x. 19. Prove that xp at tim mil time" = COS X, then f'(x) = -sin x. 4. 24 Find an equation of the tangent line to the curve at the given point. (T/3, 2) 22. y = e* cos x, (0,1) 21. y = sec x, 23. y = cos x – sin x, (T, -1) 24. y = x + tan x, (7, T) 36. An e %3D lowe 25. (a) Find an equation of the tangent line to the curve y = 2x sin x at the point (T/2, T). (b) Illustrate part (a) by graphing the curve and the tangent to " line on the same screen. (a 26. (a) Find an equation of the tangent line to the curve y = 3x + 6 cos x at the point (T/3, + 3). (b) Illustrate part (a) by graphing the curve and the tangent %3D line on the same screen. 27. (a) If f(x) = sec x - x, find f'(x). (b) Check to see that your answer to part (a) is reasonable by graphing both f and f' for |x< T/2. 37. 28. (a) If f(x) = e* cos x, find f'(x) and f"(4). (0) Check to see that your answers to pat (a) are reasaable by graphing f, f', and f".
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
#24 and 26a
Transcribed Image Text:Show that y
equivalent.
32. Suppose f(w/3
sec 0
12. y
X So
1-sin x
1+ sec 0
%3D
I sin t
14. y
33-34 For what v
16. y x sin x tan x
aula
tangent?
15. f(x) = xe" csc x
-m-
=-Csc x cot x.
+ * = (X)/ '
(csc x)
17. Prove that
35. A mass on
xp
level surfae
(sec x) = sec x tan x.
18. Prove that
xp
(a) Find th
(b) Find t
(cot x)
-csc?x.
19. Prove that
xp
at tim
mil
time"
= COS X,
then f'(x) = -sin x.
4. 24 Find an equation of the tangent line to the curve at the
given point.
(T/3, 2)
22. y = e* cos x,
(0,1)
21. y = sec x,
23. y = cos x – sin x, (T, -1)
24. y = x + tan x, (7, T)
36. An e
%3D
lowe
25. (a) Find an equation of the tangent line to the curve
y = 2x sin x at the point (T/2, T).
(b) Illustrate part (a) by graphing the curve and the tangent
to "
line on the same screen.
(a
26. (a) Find an equation of the tangent line to the curve
y = 3x + 6 cos x at the point (T/3, + 3).
(b) Illustrate part (a) by graphing the curve and the tangent
%3D
line on the same screen.
27. (a) If f(x) = sec x - x, find f'(x).
(b) Check to see that your answer to part (a) is reasonable by
graphing both f and f' for |x< T/2.
37.
28. (a) If f(x) = e* cos x, find f'(x) and f"(4).
(0) Check to see that your answers to pat (a) are reasaable
by graphing f, f', and f".
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