awGiven w = xysin(z2), x= s-t, y=s², z= t². Use the Chain Rule to findwww.atwwwawaw=ysin z² + 4txyzcos z²atatOption 1Option 2Əw=--ysin z² - 4txyzcos z²atOption 3none of the above-ysin z2 + 4txyzcos z²

We know that derivatives of d(xn)/dx = nxn-1. And d(sinx)/dx = cosx Here i attached the solution of…

Answered: Əw at = xysin(z2), x= s-t, y=s2, z t².…

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

Use the chain rule to find ∂w/∂t given w =√ x^2 + y^2 + z^2 and x = cos(st), y = −2s ln(t) and z = s − 3t.
(a) express ∂z/∂u and ∂z/∂y as functions of uand y both by using the Chain Rule and by expressing z directly interms of u and y before differentiating. Then (b) evaluate ∂z/∂u and∂z/∂y at the given point (u, y). z = 4ex ln y, x = ln (u cos y), y = u sin y;(u, y) = (2,π/4)
Please do not give solution in image format thanku Let {Xt : t ∈ Z} be a covariance stationary process that satisfies: Xt + Xt−1 = Zt , where EZt = 0, EZ 2 t = σ 2 ≥ 0, and EZtZs = 0 for all t, s ∈ Z and t 6= s. Show that the only possible stationary solution of this process is Xt = (−1)sXt−1
Consider the following.w=x^2/y , x=t^2 , y=t+1 , t=3 (a) Find d2w/dt2 using the appropriate Chain Rule.
a). Deternine if the DE is classified as Variable Seperable DE or Homogeneous DE. If the DE is Homogeneous, what is the degree of homogenity? b). Find the general solution of the DE shown.
(a) express dw/dt as a function of t, both by using the Chain Rule and by expressing w in terms of t and differentiating directly with respect to t. Then (b) evaluate dw/ dt at the given value of t. 1.w = 2yex - ln z, x = ln (t2 + 1), y = tan-1 t, z = et ; t = 1 2. w = z - sin xy, x = t, y = ln t, z = et-1 ; t =1
a.show that (0,0) is the only critical point of the DE x''+∈(1/3(x')^3 -x')+x=0 b. show that (0,0) is unstable when ∈>0. When is (0,0) an unstable spiral point.
(a) express ∂w/∂u and ∂w/∂y as functions of uand y both by using the Chain Rule and by expressing w directly interms of u and y before differentiating. Then (b) evaluate ∂w/∂u and∂w/∂y at the given point (u, y). w = xy + yz + xz, x = u + y, y = u - y, z = uy; (u, y) = (1/2, 1)
1. a) Find the solution for u(x, y, z) yux − xuy + uz = u2u(x, y, 0) = 1/y (b) Find the Jacobian J on the initial surface Γ, i.e., at t = 0. Is there a unique solution?
Find dy/dx if y = x by using the Chain Rule with y as a compositionof y = 1 + (1/u) and u = 1/(x - 1).
If w = ln (x2 + y2 + 2z), x = r + s, y = r - s, and z = 2rs, find w r and w s by the Chain Rule. Then check your answer another way.
In the study of a nonlinear spring with periodic forcing, the equation y''+ky+ry3= Acos(ωt) arises. Let k = 4, r = 8, A = 1, and ω = 6. Find the first three nonzero terms in the Taylor polynomial approximation to the solution with initial values y(0) = 0, y'(0)=1. The Taylor approximation to three nonzero terms is y(t) =?

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

Əw at = xysin(z2), x= s-t, y=s2, z t². Use the Chain Rule to find .