For the function w=f(x,y) , x=g(u,v) , and
y=h(u,v). Use the Chain Rule to
Find...
For the function w=f(x,y) , x=g(u,v) , and
y=h(u,v). Use the Chain Rule to
Find ∂w/∂u and
∂w/∂v when u=2 and v=3 if
g(2,3)=4, h(2,3)=-2,
gu(2,3)=-5,
gv(2,3)=-1 ,
hu(2,3)=3,
hv(2,3)=-5,
fx(4,-2)=-4, and
fy(4,-2)=7
∂w/∂u=
∂w/∂v =
a)Prove that the function
u(x, y) = x -y÷x+y
is harmonic and obtain a conjugate function...
a)Prove that the function
u(x, y) = x -y÷x+y
is harmonic and obtain a conjugate function v(x, y) such that
f(z) = u + iv is analytic.
b)Convert the integral
from 0 to 5 of (25-t²)^3/2 dt
into a Beta Function and evaluate the resulting function.
c)Solve the first order PDE
sin(x) sin(y)
∂u
∂x + cos(x) cos(y)
∂u
∂y = 0
such that u(x, y) = cos(2x), on x + y =
π
2
Let u=[6,2 ], v=[3,3 ], and b=[4,1 ]. Find
(x⋅u+y⋅v-b)×2 u, where x,y are scalars.
Let u=[6,2 ], v=[3,3 ], and b=[4,1 ]. Find
(x⋅u+y⋅v-b)×2 u, where x,y are scalars.
Jen’s utility function is U (X, Y ) = (X + 2)(Y + 1), where X...
Jen’s utility function is U (X, Y ) = (X + 2)(Y + 1), where X is
her consumption of good X and Y is her consumption of good Y .
a. Write an equation for Jen’s indifference curve that goes
through the point (X, Y ) = (2, 8). On the axes below, sketch Jen’s
indifference curve for U = 36
b. Suppose that the price of each good is 1 and that Jen has an
income of 11....