33. cos y? + x = e %3D

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
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Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Use implicit differentiation to find dy/dx #33
ment. Sup-
both sides with resgpecs
.Aind the ell he esrve a h ge go
13. 2(-1)
18 -4e (1,2)
$4. 03, n 2)
16 3-8. (1. V5)
1s. V-1Vi-0.(4.1)
2, which implies that
17. sim y S -5(.)
19. cos y
20 tan y (0.0)
21. xy 7: (1, 7)
22. 1: (10, 3)
23. V+ V 2: (1. 1)
24. +yrs
-2: (1
25. xVy + y 10; (1, 8)
26. (x +y) -y. C
O (see figure).
ne curve.
27-40. Implicit differentiation Use implicit differentiati
27. sin x + sin y = y
28. y = xe
29. х + у — cos y
30. x + 2y = V=
rex = 0.
31. sin xy = x + y
32. e = 2y
x + 1
34. у 3
33. cos y2 + x = e
y -
x + y
36. (ху + 1
35. х3
%3D
X - y
37. 6x + 7y
13xy
38. sin x cc
40. Vx =
39. Vx + y = 5x + 2y³
41. Cobb-Douglas production function T
system Q, subject to two inputs, such a
is often modeled by the Cobb-Douglas
Q = CL°K". When a + b = 1, the ca
where
%3D
1
to scale. Suppose Q = 1280, a
Transcribed Image Text:ment. Sup- both sides with resgpecs .Aind the ell he esrve a h ge go 13. 2(-1) 18 -4e (1,2) $4. 03, n 2) 16 3-8. (1. V5) 1s. V-1Vi-0.(4.1) 2, which implies that 17. sim y S -5(.) 19. cos y 20 tan y (0.0) 21. xy 7: (1, 7) 22. 1: (10, 3) 23. V+ V 2: (1. 1) 24. +yrs -2: (1 25. xVy + y 10; (1, 8) 26. (x +y) -y. C O (see figure). ne curve. 27-40. Implicit differentiation Use implicit differentiati 27. sin x + sin y = y 28. y = xe 29. х + у — cos y 30. x + 2y = V= rex = 0. 31. sin xy = x + y 32. e = 2y x + 1 34. у 3 33. cos y2 + x = e y - x + y 36. (ху + 1 35. х3 %3D X - y 37. 6x + 7y 13xy 38. sin x cc 40. Vx = 39. Vx + y = 5x + 2y³ 41. Cobb-Douglas production function T system Q, subject to two inputs, such a is often modeled by the Cobb-Douglas Q = CL°K". When a + b = 1, the ca where %3D 1 to scale. Suppose Q = 1280, a
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