5. Test the Stokes' theorem for the function: V 3xy'x-zcos (2x)ÿ + xy°ż .Do it for the plane surface bound by the lines: (0,0,0) => (1,0,0) => (1,1,0) => (0,1,0) =>(0,0,0). zt

Q: find the tangent plane to the surface z = Vy-x at the point (1,2,1)

A: Equation of tangent plane is z-c = df/dx(x-a)+df/dy(y-b) at point (a,b,c)

Q: x² + y³. 2 = Consider the surface S of equation (1, 1, v), An equation for the tangent line tangent…

A: We have to find the equation of tangent line.

Q: r(u, v)=(w+v)i(u-v)j+v²k at the point P(2, 0, 1)

A:

Q: A surface z = f(x, y) is defined implicitly by the equation x +y+ z – e² = 3 – e. - Determine the…

A:

Q: Q2: A. For the surface f derivative at (1,1 derivative and the line to the surface

A:

Q: Q3: For the surface f (x, y, z) = In (xyz), find: (1) the gradient of f at (1,1,2), (2) the…

A: Given

Q: t-) For each surface below, find the normal vector and equation of the tangent plane at the given…

A: Use definition of tangent plane and norman vector.  According to guidelins, we solve only first 3…

Q: #10 For the surface x³-2xz+y4+1=xy do: (a) Find the tangent plane at point (1,1,1),, Find…

A: (a) Equation of tangent plane at point (1,1,1) is: y=1(b) Equation of normal line at the point…

Q: 2. Find a set of parametric equations for the tangent line to the curve of intersection of the…

A: Step 1:To find the parametric equations for the tangent line to the curve of intersection of the…

Q: 7. Let F(x, y,z)=-2yi +2xj. Use Stokes’ Theorem to find F dr where C is a circle (a) Parallel to the…

A: By stoke's theorem