Stoke's Theoren to evaluate S Ě d? where F=

Q: Let f = zy + yx, v = [y, z, 4z - x], w Find - [vª, zª, x®]. (a) grad f and f grad f at (3, 4, 0) (b)…

A:

Q: Let h be a differentiable function of z obtained from the parametric equations z = f(t), y = 9(t).…

A: Option  1  is true .

Q: Consider the rormal line to the surface z= z + y? (parabokoid) at the point P(1,1, 2) Find the point…

A:

Q: Consider the function f(x, y) = (e - 3x) cos(y). Suppose S is the surface z = f(x, y). (a) Find a…

A:

Q: For an implicit surface determined by the implicit relation function F (x, y, z) = 0, it is known…

A:

Q: Consider the surface O3z+3y-2z=0 O 34z + 7y-12z = 0 O 3x+3y-2z=147 What is the equation of the…

A:

Q: A surface S is described by the equation f(x, y, z) = n where f(x, y, z) = yz + nx²y+ yz³ (a) Find…

A: Given fx,y,z=yz+nx2y+yz3 Substitute n=5 Hence, fx,y,z=yz+5x2y+yz3 (a) We have to find the equation…

Q: 6. Tangent Plane dro find an equatin the Plane and a set Line equatin g tho of Tangent * 9 o the…

A: We have to find the equation of tangent plane and set of equation of the normal line to the given…

Q: Don't use chat gpt It Chatgpt means downvote

A:

Q: Find a parameterization your parameterization for a circle of radius 6 with center (1,-3,4) in a…

A:

Q: Find the tangent plane of the surface z = f(x, y) at (0,0, 0) in which 3y f(2, y) = || cos /3 t dt.

A:

Q: B Suppose we want to find all the points on the surface g(x, y) = Vx² + 4y² – 4 where the tangent…

A: We have to check whether vector v is parallel perpendicular or neither

Q: Look at change in coordinates : u = x - y and v = x + y. Find partial derivative ∂u/∂x, invert…

A:

Q: Consider a differentiable function p(x,y) with the properties below. Use these properties to answer…

A:

Q: Q4) Consider the function f(x,y,z) = x³ – xy² – zy a) Find the derivative of f(x, y, z) in the…

A: Given function fx,y,z=x3-xy2-zy a) Directional derivative, D=∇f·A⏜…

Q: Q4: The parametric equations of a curve are x = 3t², y= 3t-t². Find the volume generated when the…

A: The given parametric equations are:

Q: y Consider the surface of equation z = What is the equation for the tangent line to S at x2+y4 * the…

A: Solution

Q: Let f(x, y, z) = x^2 - y^2 – z. Describe the level surfaces.

A: