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Math Help - Calculus HW question on Integration and stuff

  1. #1
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    Calculus HW question on Integration and stuff

    80. Let A be the region bounded by the lines y=0.5x and y=2-0.5x between 0 less than or equal to x less than or equal to 2. (0<= x <= 2)



    a. Set up, but do not evaluate, the definite integral that gives the volume of the solid formed by rotating region A around the x-axis




    b. Set up, but do not evaluate, the definite integral that gives the volume of the solid formed by rotating region A around the line y=4




    c. Set up, but do not evaluate, the definite integral(s) that give(s) the volume of the solid formed by rotating region A around the y-axis. (hint: split it into two)




    d. Suppose region A is the base of a solid whose cross-sections perpendicular to the x axis are semi circles. Set up, but do not evaluate, the definite integral that gives the volume of this solid.

    I am clueless of what to do here. Please guide me through this Thanks.
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  2. #2
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    Quote Originally Posted by Jishent View Post
    80. Let A be the region bounded by the lines y=0.5x and y=2-0.5x between 0 less than or equal to x less than or equal to 2. (0<= x <= 2)



    a. Set up, but do not evaluate, the definite integral that gives the volume of the solid formed by rotating region A around the x-axis
    Draw a picture of the specified region.

    Does this question form part of your assessment for a final grade?

    CB
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  3. #3
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    Reply

    Well...its kinda yes and no. Its a review for the AP Calculus exam coming up that our teacher gave us to do over our break. Its not graded though and we never went over integration yet...So i need alot of help.
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  4. #4
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    Quote Originally Posted by Jishent View Post
    Well...its kinda yes and no. Its a review for the AP Calculus exam coming up that our teacher gave us to do over our break. Its not graded though and we never went over integration yet...So i need alot of help.
    You should ask your teacher for the solutions, or at the very least, answers.
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  5. #5
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    You should ask your teacher for the solutions, or at the very least, answers.
    Still 5 days till my Holiday ends and I have nothing to do...so I want to solve this problem....
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  6. #6
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    Quote Originally Posted by Jishent View Post
    Still 5 days till my Holiday ends and I have nothing to do...so I want to solve this problem....
    go here for some instruction ... good video series.

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