! Suppese that z is guan in impliecit formm by the*'y -yz?+ * = 16 inP(-2, -2), in wich Z=1, what is theequation :an envivoment%Dof pointvahme of the directionml derivative ofZ at P inthe|thedirection of vecter W= (1,1) ?8/2A)38/2B)316C)3-16D)

Answered: Image /qna-images/answer/5494221a-a730-4f2f-bcc0-6a62e4a6ffd8.jpg

Answered: - impleit = 16 in rivetive of = (1,1) ?

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

A bee was flying upward along the curve that is the intersection of z = x⁴+xy³+12 with the plane x=1. At the point (1,–2,5), itu event off on the tangent line. Where do the bee hit the xz-plane?
What is the largest value that the directional derivative of ƒ(x, y, z) = xyz can have at the point (1, 1, 1)
Suppose ƒ is differentiable at (9, 9), ∇ƒ(9, 9) = ⟨3, 1⟩, and w = (1, -1). Compute the directional derivative of ƒ at ⟨9, 9⟩ in the direction of the vector w.
find the directional derivative of f at p in the direction of B. if f(x,y,z)=x+ycos(z) where p denote the point (1,2,0) and B =(2,1,-2)?
calculate....along the curve curve in the first octant given by x^2 + y^2 + z2 = 4, (x − 1)2 + y^2 = 1.
Suppose that a differentiable function ƒ(x, y) has the constant value c along the differentiable curve x = g(t), y = h(t); that is, ƒ(g(t), h(t)) = c for all values of t. Differentiate both sides of this equation with respect to t to show that ∇ƒ is orthogonal to the curve’s tangent vector at every point on the curve.
calculate..... along the curve in the first octant given by x^2+y^2=1, z=2x
Show that the function f(z)=sin x cosh y+i cosx sinh y is continious as well as analytic every where.
Use Green's theorem to evaluate fxydx+ x3y3dy where C is a triangle with vertices (0,0), C (1, 0) and (1,2) with positive orientation. (b) Compute the directional derivative of the function f(x, y, z) = xy2 + y2z3 + z3x at the point P(4, -2, -1) in the direction of Q(l, 3, 2)
Suppose that the plane tangent to z = f(x,y) at (-2,3,4) has equation 4x + 2y + z = 2. Estimate f(-2.1, 3.1).
Evaluate a 3d divergence of 1/r^2 in the radial direction
Let f(x,y)=ln(5x+4y). Find the directional derivative of f at (1,0) in the direction of the line y=2x−2.

SEE MORE QUESTIONS

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