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.
Let X,Y,Z⊆U. If Pr(X)=0.21, Pr(Y)=0.33, Pr(Z)=0.39,
Pr(X∩Y)=0.09, Pr(X∩Z)=0.08, Pr(Y∩Z)=0.17, and Pr(X∩Y∩Z)=0.04, find
the following values:
Pr(X′∩Y∩Z′)....
Let X,Y,Z⊆U. If Pr(X)=0.21, Pr(Y)=0.33, Pr(Z)=0.39,
Pr(X∩Y)=0.09, Pr(X∩Z)=0.08, Pr(Y∩Z)=0.17, and Pr(X∩Y∩Z)=0.04, find
the following values:
Pr(X′∩Y∩Z′).
Pr(X′∩(Y∪Z′)).
Pr(X′).
Pr(X′∪Y∪Z′).
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)...
Write down the parametrized surfaces as level surfaces
{f(x,y,z)=0}.
x=ucosv, y=usinv, z=u, 0 <= u <=...
Write down the parametrized surfaces as level surfaces
{f(x,y,z)=0}.
x=ucosv, y=usinv, z=u, 0 <= u <= 2, 0 <= v <=
2pi
x = 2cosu*cosv, y = 2cosu*sinv, z = 2sinu, 0 <= u <= 2pi,
0 <= v <= pi
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.