Calculus I

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  • #13123

    Ezra Halleck
    Participant

    5. The volume of a sphere of radius is . What is the average rate of change of the volume when the radius increases from to ?

    #16576

    V. Panov
    Participant

    So f(x1) is (4(pi)(1)^3/3) which equals to 4.18
    f(x2) is (4(pi)(3)^3/3) which is 113
    Avg rate is f(x2)-f(x1)/x2-x1
    (113-4.18)/(3-1)
    So the avg rate is 54.41?

    #16577

    columbam
    Member

    i TRIED TO THIS PROBLEM AND THIS IS THE ANSWER THAT I GOT, BUT I DON’T KNOW IF IT’S RIGHT.

    V(3)-V(1)/(3-1)
    = (4π(3^3)/3 -4π(1^3)/3)/(3-1)
    = (4π(27)/3 -4π(1)/3)/(2)
    = (108π/3 -4π/3)/(2)
    = (104π/3)/(2)
    = 52π/3
    = 54.45

    #17067

    Violet myo
    Participant

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