2. Find the local linear approximation L to the specified function f at thedesignated point P.a. f(x, y, z)= xyz; P(1,2,3),b. f(x, y) = x sin y; P(0, 0),c. f(x, y, z) = xe¹²; P(1,-1,-1),

Answered: Image /qna-images/answer/7b513d9e-0d3e-4fc2-9686-7e107e965c6b.jpg

Answered: 2. Find the local linear approximation…

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...

See similar textbooks

Similar questions

Let f (x, y): = (5x−6y). Find the equation for the tangent plane to the graph of ƒ at the point (1,2). (Use symbolic notation and fractions where needed.) Z =
,, ,,
Find the linear approximation of the function f(x, y, z) = V x2 + y2 + z² at (2, 9, 6) and use it to approximate the number 2.012 + 8.972 + 5.982. (Round your answer to five decimal places.) f(2.01, 8.97, 5.98) -
(s) Find the linearization of f at the given point. Then estimate the value of f. (a) f(x, y) = xy² at (2, 1). Estimate f(2.001, 1.05) y? f(x, y) = at (1,2). Estimate f(0.99, 1.99)
1. Consider f(x, y) = (x² + 2y²) a. Sketch cross sections (at least two) off by keeping y fixed and then x fixed. b. Sketch a contour diagram for f with at least four labeled contours. 2. Does the following table represent a linear function? Justify your answer. y 012 xo0 5 10 127 12 24914 3. Find the equation a linear function z = c + mx + ny whose graph contains the points (0,0,0), (0,2,-1) and (-3,0,-4). 4. Find a formula for a function f(x, y, z) whose level surface f = 1 is an ellipsoid (tri-axial) with center at (2,3,4) and the length in x, y, z axes are given by a, b, c respectively.
3 Given the function f(x) = 2a2 – a + 2, find the points where the tangent line has slope – 4| 2 а) О(3, -10), (1, - b) О (-3, — 22), -1, e) O (0, 2), ( –1, ) d) O (0, 2), (3, –-10) e) O(-3, –22), (1, -3)
Find the linear approximation to ƒ(x, y) = 2₁ f(2.12, 8.22) f(2.12, 8.22) xy at the point (2,8, 4), and use it to approximate

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

2. Find the local linear approximation L to the specified function ƒ at t designated point P. a. f(x, y, z) = xyz; P(1,2,3),