(See attached file for full problem description with proper equations)
1. Find dw/dx for the function given by w=xye^(xyz)
2. Find the center and radius of the sphere given by the equation
x^2 + y^2 + z^2 + 4x - 2y + 2z=10
3. The sum of $2000 is deposited in a savings account earning r percent interest compounded continuously. The amount A(r,t) after t years is given by A(r,t)= 2000e^(rt). Determine the amount in an account earning 8% interest for 5 years.
4. Integrate xydA where R is the region by y= sqrt(x), y=1/2x, x=2 and x=4
5. Evaluate (4-y)dydx
6. Evaluate 0 0 (y+x)dxdy
This solution provides assistance with the calculus problems given below.