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. Find the local extremum of the function
(a) f(x,y) = 2x² – xy + y² – x – 5y + 8
|
(b) f(x,y) = xy² – 6x² – 3y²
%3D
-
əz
and
Əx
az
2. Find
if the function is implicitly defined as a function of x and y.
ду
уех2 — Зуеу2 %3D — 4ze*у + 1
-
3. Given f(x, y) = xy +
ey
Verify that fry = fyx
y2 + 1
4. Given f(x, y) = /9 –
x² – y2. Use the total differential to approximate
%3D
'9 – 2.022 – 0.992 –
9 – 22 – 12
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe04a610a-fc00-422c-a52c-57ce876c2bf8%2Feed966bc-d7a3-4316-ab84-d1928270d8f5%2Fwosqktg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Find the local extremum of the function
(a) f(x,y) = 2x² – xy + y² – x – 5y + 8
|
(b) f(x,y) = xy² – 6x² – 3y²
%3D
-
əz
and
Əx
az
2. Find
if the function is implicitly defined as a function of x and y.
ду
уех2 — Зуеу2 %3D — 4ze*у + 1
-
3. Given f(x, y) = xy +
ey
Verify that fry = fyx
y2 + 1
4. Given f(x, y) = /9 –
x² – y2. Use the total differential to approximate
%3D
'9 – 2.022 – 0.992 –
9 – 22 – 12
-
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