F(x, y, z) =< 3xy^2 , xe^z , z^3 >, S is the solid bounded
by...
F(x, y, z) =< 3xy^2 , xe^z , z^3 >, S is the solid bounded
by the cylinder y2 + z2 = 1 and the planes x
= −1 and x = 2 Find he surface area using surface integrals. DO NOT
USE Divergence Theorem. Answer: 9π/2
F(x, y, z) = xye^zˆi + xy^2 z^3ˆj − ye^zˆk,S is the surface of
the box...
F(x, y, z) = xye^zˆi + xy^2 z^3ˆj − ye^zˆk,S is the surface of
the box bounded by the coordinate planes and the planes x = 3, y =
2, and z = 1. Find the surface area using surface integrals. DO NOT
use divergence theorem.
f(x, y, z) =
xe4yz, P(1, 0, 3),
u = <2/3, -1/3, 2/3>
(a) Find the...
f(x, y, z) =
xe4yz, P(1, 0, 3),
u = <2/3, -1/3, 2/3>
(a) Find the gradient of f.
∇f(x, y, z) =
< , , >
(b) Evaluate the gradient at the point P.
∇f(1, 0, 3) = < , ,
>
(c) Find the rate of change of f at P in the
direction of the vector u.
Duf(1, 0, 3) =
Consider the following. f(x, y, z) = xe5yz, P(1, 0, 2),
u=1/3,-2/3,2/3. (a) Find the gradient...
Consider the following. f(x, y, z) = xe5yz, P(1, 0, 2),
u=1/3,-2/3,2/3. (a) Find the gradient of f. ∇f(x, y, z) = (b)
Evaluate the gradient at the point P. ∇f(1, 0, 2) = (c) Find the
rate of change of f at P in the direction of the vector u. Duf(1,
0, 2) =
solve by separation variable
3, xydx-(1+x^2) dy=0
4, xy'+y=y^2
5,yy'=xe^2+y^2
6, xsiny.y'=cosy
7, y'=x^2 y/1+x^3 xsiny.y'+cosy
solve by separation variable
3, xydx-(1+x^2) dy=0
4, xy'+y=y^2
5,yy'=xe^2+y^2
6, xsiny.y'=cosy
7, y'=x^2 y/1+x^3 xsiny.y'+cosy