Calculus
posted by Michael .
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 xaxis is a trapezoid with lower base in the xyplane, 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
Similar Questions

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? 
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. 
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? 
precalculus
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? 
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 … 
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? 
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 … 
calc
The base of a threedimensional figure is bound by the line y = 6  2x on the interval [1, 2]. Vertical cross sections that are perpendicular to the xaxis are rectangles with height equal to 2. Find the volume of the figure. The … 
math
Could someone help me solve this Absolute Equation? 
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 xaxis are semicircles. Find the volume of this solid. …