Find and sketch domains for the functions:
f(x,y)= sin(x/y)
f(x,y)= arcsin(x/y)
f(x,y)=cos(x/y)
f(x,y)=arccos(x/y)
What are the...
Find and sketch domains for the functions:
f(x,y)= sin(x/y)
f(x,y)= arcsin(x/y)
f(x,y)=cos(x/y)
f(x,y)=arccos(x/y)
What are the steps of finding the domain of those functions?
How do I sketch it?
Verify the Caucy-riemann equations for the functions u(x,y),
v(x,y) defined in the given domain
u(x,y)=x³-3xy², v(x,y)=3x²y-y³,...
Verify the Caucy-riemann equations for the functions u(x,y),
v(x,y) defined in the given domain
u(x,y)=x³-3xy², v(x,y)=3x²y-y³, (x,y)ɛR
u(x,y)=sinxcosy,v(x,y)=cosxsiny (x,y)ɛR
u(x,y)=x/(x²+y²), v(x,y)=-y/(x²+y²),(x²+y²), (
x²+y²)≠0
u(x,y)=1/2 log(x²+y²), v(x,y)=sin¯¹(y/√¯x²+y²), ( x˃0 )
In each case,state a complex functions whose real and imaginary
parts are u(x,y) and v(x,y)
Suppose that f(x,y) = y/(1+x) at which
{(x,y)∣0≤x≤4,−x≤y≤√x}.
D
Then the double integral of f(x,y) over...
Suppose that f(x,y) = y/(1+x) at which
{(x,y)∣0≤x≤4,−x≤y≤√x}.
D
Then the double integral of f(x,y) over D is
∫∫Df(x,y)dxdy=
For the 3-CNF
f = (x’ +y’+z)& (x+y’+z’)&(x+y+z’)&
(x’+y+z)&(x’+y+z’) &(x+y+z)
where “+” is or, “&” is...
For the 3-CNF
f = (x’ +y’+z)& (x+y’+z’)&(x+y+z’)&
(x’+y+z)&(x’+y+z’) &(x+y+z)
where “+” is or, “&” is and operations, “
’ ” is negation.
a)give 0-1 assignment to variables such that
f=1 x= ______ y= ______ z= ____
f=0 x= ______ y= ______ z= ____
-
b) Draw the corresponding graph and mark the
maximum independent
set.
(you can draw on paper, scan and insert here)
Find fxx(x,y), fxy(x,y),
fyx(x,y), and fyy(x,y) for the function f
f(x,y)= 8xe3xy
Find fxx(x,y), fxy(x,y),
fyx(x,y), and fyy(x,y) for the function f
f(x,y)= 8xe3xy
Using the following axioms:
a.) (x+y)+x = x +(y+x) for all x, y in R (associative...
Using the following axioms:
a.) (x+y)+x = x +(y+x) for all x, y in R (associative law of
addition)
b.) x + y = y + x for all x, y elements of R (commutative law of
addition)
c.) There exists an additive identity 0 element of R (x+0 = x
for all x elements of R)
d.) Each x element of R has an additive inverse (an inverse with
respect to addition)
Prove the following theorems:
1.) The additive...
Let f (x, y) = c, 0 ≤ y ≤ 4, y ≤ x ≤ y...
Let f (x, y) = c, 0 ≤ y ≤ 4, y ≤ x ≤ y + 1, be the joint pdf of
X and Y.
1. Determine h(y | x), the conditional pdf of Y, given that X =
x.
2. Determine g(x | y), the conditional pdf of X, given that Y =
y.
3. Compute E(Y | x), the conditional mean of Y, given that X =
x.
4. Compute E(X | y), the conditional mean of...
Random Variables X and Y have joint PDF
fX,Y(x,y) =
c*(x+y) , 0<x , x>y
0&
Random Variables X and Y have joint PDF
fX,Y(x,y) =
c*(x+y) , 0<x , x>y
0 ,
otherwise
a. Find the value of the constant c.
b. Find P[x < 1 and y < 2]