Find an equation of the tangent plane (in
variables x, y, z) to parametric surface
r(u,v)=〈3u,−5v-5u^2,−5v^2〉...
Find an equation of the tangent plane (in
variables x, y, z) to parametric surface
r(u,v)=〈3u,−5v-5u^2,−5v^2〉 at the point (3,0,−5)
Let X and Y independent random variables with U distribution (−1,1). Using the Jacobian method, determine...
Let X and Y independent random variables with U distribution (−1,1). Using the Jacobian method, determine the joint distribution of Z=X-Y and W= X+Y.
Let the linear transformation T: V--->W be such that T (u) =
u2 If a, b...
Let the linear transformation T: V--->W be such that T (u) =
u2 If a, b are Real. Find T (au + bv) ,
if u = (x, y) v = (z, w) and uv = (xz-yw, xw + yz)
Let the linear transformation T: V---> W be such that T (u)
= T (x, y) = (xy, 0) where u = (x, y), with 2, -3. Then, if u = (
1.0) and v = (0.1). Find the value...
Given the set S = {(u,v): 0<= u<=4 and 0<= v<=3} and
the transformation T(u, v)...
Given the set S = {(u,v): 0<= u<=4 and 0<= v<=3} and
the transformation T(u, v) = (x(u, v), y(u, v)) where x(u, v) = 4u
+ 5v and y(u, v) = 2u -3v,
graph the image R of S under the transformation T in the
xy-plan
and find the area of region R
If z=(x+4y)ex+y,x=ln(u),y=v,z=(x+4y)ex+y,x=ln(u),y=v, find
∂z∂u∂z∂u and ∂z∂v∂z∂v. The variables are restricted to domains on
which the functions...
If z=(x+4y)ex+y,x=ln(u),y=v,z=(x+4y)ex+y,x=ln(u),y=v, find
∂z∂u∂z∂u and ∂z∂v∂z∂v. The variables are restricted to domains on
which the functions are defined.
Use the given transformation to evaluate the integral.
(x −
8y) dA,
R
where R is...
Use the given transformation to evaluate the integral.
(x −
8y) dA,
R
where R is the triangular region with vertices (0, 0),
(7, 1), and (1, 7).
x = 7u +
v, y = u +
7v
Let s = f(x; y; z) and x = x(u; v; w); y = y(u; v;...
Let s = f(x; y; z) and x = x(u; v; w); y = y(u; v; w); z = z(u;
v; w). To calculate ∂s ∂u (u = 1, v = 2, w = 3), which of the
following pieces of information do you not need?
I. f(1, 2, 3) = 5
II. f(7, 8, 9) = 6
III. x(1, 2, 3) = 7
IV. y(1, 2, 3) = 8
V. z(1, 2, 3) = 9
VI. fx(1, 2, 3)...
Determine whether the lines l1: x = 2 +
u, y = 1 + u, z...
Determine whether the lines l1: x = 2 +
u, y = 1 + u, z = 4 + 7u and
l2: x = -4 + 5w;
y = 2 - 2w, z = 1 - 4w intersect, and if so, find
the point of intersect, and the angles between
the lines.
U = {q, r, s, t, u, v, w, x, y, z}
A = {q,...
U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}.
List the elements in A - B.