1. Locate all the relative maxima, relative minima and saddle points, if any, for the following: f(x, y) = 2xy – x³ – y? %3D

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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1. Locate all the relative maxima, relative minima and saddle points, if any, for the
following:
f(x,y) = 2xy – x³3 – y?
2. Find three positive numbers whose sum is 36 and such that the sum of their squares is
as small as possible.
Transcribed Image Text:1. Locate all the relative maxima, relative minima and saddle points, if any, for the following: f(x,y) = 2xy – x³3 – y? 2. Find three positive numbers whose sum is 36 and such that the sum of their squares is as small as possible.
1. Given w = 2ye² sin(xz), find
d?w
b.
dzdx
d3w
а.
dzdxdy
dz
2. Given z = 4x? +y?,x = sin t, y = t?, find
dt"
dz
3. Given z = e* sin y,x = u? + v²,y = uv, find
dv
Transcribed Image Text:1. Given w = 2ye² sin(xz), find d?w b. dzdx d3w а. dzdxdy dz 2. Given z = 4x? +y?,x = sin t, y = t?, find dt" dz 3. Given z = e* sin y,x = u? + v²,y = uv, find dv
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