A. y II

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

Match the equation with its corresponding dy/dx

 

Column B
dy
A.
dx
dy
dx
dy
C.
dx
D.
dx
dy
6ху+1
dx
3x2
dy
1
2y
F.
dx
3x2
G.
dy
2у-2x+1
dx
2y+2х-1
dy
= -
4
Н.
dx
5-y
dy
4
I.
dx
5-у
y cos x-sin y
x cos y-sin x
dy
J.
dx
dy
2(x-y)-1
%3D
dx
2(x-y)+1
dy
yey
L.
dx
1-ху(еУ)
dy
2-у2
М.
dx
2ху-Зу2
dy
y
(y-x)2
N.
dx
2х
y sin x-cos y
x sin y-cos x
dy
O.
dx
P.
dy
1.
dx
2(tan y-1)sec2y
dy
sec x tan x
Q.
dx
secy (sec y-tan y)
dy
y
R.
%3D
dx
x-ey(xy2+xy)
B.
E.
K.
Transcribed Image Text:Column B dy A. dx dy dx dy C. dx D. dx dy 6ху+1 dx 3x2 dy 1 2y F. dx 3x2 G. dy 2у-2x+1 dx 2y+2х-1 dy = - 4 Н. dx 5-y dy 4 I. dx 5-у y cos x-sin y x cos y-sin x dy J. dx dy 2(x-y)-1 %3D dx 2(x-y)+1 dy yey L. dx 1-ху(еУ) dy 2-у2 М. dx 2ху-Зу2 dy y (y-x)2 N. dx 2х y sin x-cos y x sin y-cos x dy O. dx P. dy 1. dx 2(tan y-1)sec2y dy sec x tan x Q. dx secy (sec y-tan y) dy y R. %3D dx x-ey(xy2+xy) B. E. K.
Column A
1.
ху 3D2
2.
3x²y – x = 5
3.
Зу (у — 10) + 24х %3D 0
4.
(x – y)² = x + y – 1
%3D
5.
2xy = 3
б.
x+y = x
x-y
7.
xey = In y
8.
ye' = In(xy)
%3D
9.
(y – 5)? = 8(x – 3)
10.
2х — ху? + у3 %3 0
_11. x2 – y2 = 7
12.
x sin y – y sin x = 0
13.
x cos y + y cos x = 0
%3D
14.
tan?y – 2 tan y + 1 = x
15.
sec y + sec x = tan y
Transcribed Image Text:Column A 1. ху 3D2 2. 3x²y – x = 5 3. Зу (у — 10) + 24х %3D 0 4. (x – y)² = x + y – 1 %3D 5. 2xy = 3 б. x+y = x x-y 7. xey = In y 8. ye' = In(xy) %3D 9. (y – 5)? = 8(x – 3) 10. 2х — ху? + у3 %3 0 _11. x2 – y2 = 7 12. x sin y – y sin x = 0 13. x cos y + y cos x = 0 %3D 14. tan?y – 2 tan y + 1 = x 15. sec y + sec x = tan y
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