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    Centre and radius of sphere and integration

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    (See attached file for full problem description with proper equations)

    Evaluate these:

    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
    2 1-x
    5. Evaluate (4-y)dydx
    -1 0

    2 sqrt(4-y^2)
    6. Evaluate 0 0 (y+x)dxdy

    © BrainMass Inc. brainmass.com December 15, 2022, 5:24 pm ad1c9bdddf
    https://brainmass.com/math/integrals/evaluate-calculus-problems-81836

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    This solution provides assistance with the calculus problems given below.

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