Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Question
![Homework:
(1) If x²y – xy2 + x² + y? = 0, find y'
(2) If x2 – xy + y? = 3, find y' and y".
(3) If x³y - xy3 = 2, find y' and y" at x = 1.
Homework:
(a) If y = tan x, prove that y"
= 2(y2 + 1)(3y² + 1).
(b) Find y' for y = cos(sin?x).
(c) If y = xy + sin y = 5x, find
(d) If x = y/1– y², find .
(e) Find y' and y" for y = sin (x+y).
(f) Find y' for sin x + sin y = 1.
(g) Find y' for x cos y = sin(x + y).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b59a445-4d4a-4d1a-a5a9-86dd760bead7%2F00034896-e8b0-49bb-813f-52eb9c33c98f%2Fmgz3mz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Homework:
(1) If x²y – xy2 + x² + y? = 0, find y'
(2) If x2 – xy + y? = 3, find y' and y".
(3) If x³y - xy3 = 2, find y' and y" at x = 1.
Homework:
(a) If y = tan x, prove that y"
= 2(y2 + 1)(3y² + 1).
(b) Find y' for y = cos(sin?x).
(c) If y = xy + sin y = 5x, find
(d) If x = y/1– y², find .
(e) Find y' and y" for y = sin (x+y).
(f) Find y' for sin x + sin y = 1.
(g) Find y' for x cos y = sin(x + y).
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