Use Stokes's Theorem to evaluate F. dr. In this case, C is oriented counterclockwise as viewed from above. F(x, y, 2) = z²i + 2xj + y²k S: 7 = 1- x2 - v2. z >0

Q: Find the Jacobian ∂(x, y) ∂(u, v)for the indicated change of variables. x = 3uv,  y = 2(u − v)

A: on solving this we get the

Q: Find the linearization of f(x, y) = V1+x - y? at (4, 1), and then use it o approximate f(3.96,…

A:

Q: Consider the differentiable function f (x, y) = x2+ y2. Find an equation for a plane that •is…

A: Solution:  Consider the differentiable function f (x, y) = x2+ y2. Find an equation for a plane that…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Ans 1: (d) Degree of polynomial is 6Ans 2 : (b) Function changes its sign at x =…

Q: The set of functions {Vx, x, x²} is linearly dependent on (0, oo). True False

A:

Q: 1. Consider the matrices A₁ 4 = ( 1 ) - 1 3 0 A₂ 42 = (3-2) ₁ 4₁ = ( 2² -2²), , A3 0 -2 These…

A:

Q: Show that the function given by f(x,y)= x² + 3xy is differentiable at every poin using the…

A: Introduction: Distinctiveness (differentiability) implies continuity. If a function is…

Q: 1(x, y, z) = ln(2x + 4y + z²), at the point u = (−1,1,0), in the direction of the unit vector…

A:

Q: Find the final amount of money in an account if $8,100 is deposited at 6.5% interest compounded…

A:

Q: (- 4,3). a) Let f(x, y)= x²y°. Find the directional derivative of f at P(-1,1) in the direction of ū…

A: a)

Q: Consider the equation x25 + y3 + z4 + sin(xy − z) = z2. Find ∂z∂x at the point(1, 2, 2)

A: The objective of the question is to find the partial derivative of z with respect to x, denoted as…