Calculus

posted by .

Hi, I have a calculus question that I just cannot figure out, it is about volume of cross sections.
I would very much appreciate it if someone could figure out the answer and show me all the steps.

A solid has as its base the region bounded by the curves y = -2x^2 +2 and y = -x^2+1. Find the volume of the solid if every cross section of a plane perpendicular to the x-axis is a trapezoid with lower base in the xy-plane, upper base equal to 1/2 the length of the lower base, and height equal to 2 times the length of the lower base.

Thanks in Advance :D

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    I'm not sure how to calculate limits from graphs. I've tried many times but I can't figure it out. Are there any sites or tips you can give me?
  2. Calculus

    My teacher showed our class how to find the graph of a derivative using tangent lines. I can not figure this out. I would really appreciate it if someone could help me or explain it to me. Thank you very much for your help.
  3. math/science

    "calculate the volume of 5g of a substance with a density of 6g/mL. SHOW ALL WORK" I just can't figure it out. D=M/V. But if you're making both sides equal?
  4. pre-calculus

    I am having trouble with trigenometric identities I cannot figure it out for example sin³x+sin²xcos²x, could I get the steps to figure it out?
  5. statistics

    i have a question regarding statistics. i just don't know how to do it and would really appreciate if someone could tell how i can solve it. the question is; a population of scores contains exactly 5 scores : 2, 3, 6, 8, 11 a) there …
  6. Math

    i have a question regarding statistics. i just don't know how to do it and would really appreciate if someone could tell how i can solve it. the question is; a) compute the mean and the standard deviation of the population?
  7. Calculus

    Hi, I have a calculus question that I just cannot figure out, it is about volume of cross sections. I would very much appreciate it if someone could figure out the answer and show me all the steps. A solid has as its base the region …
  8. calc

    The base of a three-dimensional figure is bound by the line y = 6 - 2x on the interval [-1, 2]. Vertical cross sections that are perpendicular to the x-axis are rectangles with height equal to 2. Find the volume of the figure. The …
  9. math

    Could someone help me solve this Absolute Equation?
  10. Calculus

    I would like to make sure my answer is correct: Question: the base of a solid is the triangular region with the vertices (0,0), (2,0), and (0,4). Cross sections perpendicular to the x-axis are semicircles. Find the volume of this solid. …

More Similar Questions