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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Hi I need help answering number 28.
Transcribed Image Text:Problems
24. x* + y = 1
dy
using implicit differentiation.
dx
In Exercises 5-21, find
(a) At (1,0).
5. x* +y + y = 7
(b) At (V0.6, vo.8).
6. x2/5 + y?/5 = 1
(c) At (0, 1).
7. cos x + sin y = 1
8. - = 10
y
(Vo.6, V0.8)
0.5
y
9.
= 10
10. x tan y = 50
-0.5
11. (3x + 2y)* = 2
12. (y + 2y – x)² = 200
25. (x + y? – 4)³ = 108y²
x + y
13.
x+ y?
= 17
(a) At (0, 4).
sin(x) + y
14.
(b) At (2, – V108).
= 1
cos(y) +x
y
15. In(x +y) = e
16. In(x + xy+y) = 1
17. xe* = ye
18. y sin(x') = x sin(y³)
19. уху — 1 + х'у
(2,-V108)
20. xy – yx = 1
21. x + y + xy = 7
26. (x + y + x)? = x² + y?
dy
(a) At (0, 1).
is the same for each of the following implic-
dx
22. Show that
3 3/3
itly defined functions.
(b) At
4' 4
(а) ху — 1
y
(b) x²y? = 1
(-
(c) sin(xy) = 1
(d) In(xy) = 1
-1
In Exercises 23–28, find the equation of the tangent line to the
graph of the implicitly defined function at the indicated points.
As a visual aid, each function is graphed.
140
27. (x – 2)? + (y – 3)? = 9
7 6+3V3
28. x + 2xy – y + x = 2
(a) At (-2,0).
(a) At
2
(b) At (1, 2).
(4 +3V3
(b) At
2
2.
(1, 2)
(35, 4)
(-2,0)
(, 1.5)/
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