The joint density of X and Y is (y² – a2) f(r, y) : 8. for 0 < y < o and -y

Q: Find h(x, y) = g(f(x, y)). g(t) = t2 + Vt, f(x, y) = 5x + 6y – 30 %3D %3D h(x, y) Find the set on…

A: Given: gt=t2+t  ,  fx,y=5x+6y-30

Q: Let f(x,y) = and let g(x, y) 4xy¹ 4x4 + 4y4 0 if(x, y) = (0,0) 0 if (x, y) = (0,0) 5xy 10 5x² + 5y20…

A: f(x,y)=4xy44x4+4y4if (x,y)≠(0,0)0if (x,y)=(0,0)g(x,y)=5xy105x2+5y20if (x,y)≠(0,0)0if (x,y)=(0,0)

Q: A thin wire represented by the smooth curve C with a density p (units of mass per length) has a mass…

A:

Q: Use the definition of differentiability to show that f(x, y) = y² – xy+5x is differentiable…

A:

Q: Integrate f(æ, y) = e2=² + 2y² over the domain {(x, y) | æ² + y? < 3}

A:

Q: The domain of the function f (x, y, z) = In(6 - 3xy) %3D is {(x, y) E R? : xy 2} {(x, y, z) E R :…

A:

Q: u(x, y) = e¯ª (cos x cos y cosh y - sin x sin y sinh y)

A: We have to find the analytic function for which the real part is u(x,y)=e-x(cosx cosy coshy-sinx…

Q: integrate f over the given curve f(x,y)= x3/y     , C: y=x2/2 ,    0<= x <= 5

A: NOTE: Refresh your page if you can't see any equations. . the given curve is  substitute x=t . the…

Q: The ideal gas law is f(x,y) = x2y + y3, where y = mr2. What is  ∂f/ ∂r?

A: The ideal gas law is fx, y = x2y+y3 Where y = mr2 To determine: The expression of ∂f∂r.

Q: Electric charge is distributed over the disk x² + y² ≤ 1 so that the charge density at (x, y) is…

A: Electric charge is distributed over the disk x2+y2≤1 so that the charge density at (x,y) is…

Q: Evaluate ſƒ ƒ(x, y, z)dS for f(x, y, z) = x and S is the cylinder x² + z² = 16 for 0 ≤ y ≤ 2.

A: Given: fx, y, z=x and S is the cylinder x2+z2=16 for 0≤y≤2. We have to evaluate ∫∫Sfx, y, zdS.

Q: Given f(x, y) = 2x* – 4xy – 2y?, find frr(x, y) = fzy(z, y) =

A: Solving the problem by finding the partial derivative.

Q: Electric charge is distributed over the disk x² + y² ≤ 13 so that the charge density is o(x, y) = 2…

A:

Q: se the chain rule to compute and at (u, v) = (1, I) where f(x, y, z) = x²y + y²z + z²x and r(u, v) =…

A: Given: fx,y,z=x2y+y2z+z2xr→u,v=eucosv,eusinv,u2u,v=1,π4 To find: ∂f∘r→∂u=?∂f∘r→∂v=? Concept used:…