Find the point of intersection of the line
x(t) = (0, 1, 3) + (–2, –...
Find the point of intersection of the line
x(t) = (0, 1, 3) + (–2, – 1, 2)t
with the plane 4x + 5y – 4z = 9. And
Find the distance from the point (2, 3, 1) to the plane 3x
– 2y + z = 9
(caculus 3
Find the distance from the point P ( 5, 0, 6 ) to the...
(caculus 3
Find the distance from the point P ( 5, 0, 6 ) to the line that
passes through points QQ:( 3, -1, 1 ) and RR:( -3, 4, -3 ).
please show me all steps so i can understand
Find the shortest distance from the point P = (−1, 2, 3) to the
line of...
Find the shortest distance from the point P = (−1, 2, 3) to the
line of inter- section of the planes x + 2y − 3z = 4 and 2x − y +
2z = 5.
. The point P = (0, 2, 1) is on the surface 2x + y +...
. The point P = (0, 2, 1) is on the surface 2x + y + 3z = 5e xyz
.
(a) Find a normal vector to the surface at P.
(b) Find an equation for the plane tangent to the surface at
P.
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) =
Find the minimum distance from the point (1,-6,3) to the plane x
− y + z...
Find the minimum distance from the point (1,-6,3) to the plane x
− y + z = 7. (Hint: To simplify the computations, minimize
the square of the distance.)