Question

HELP WITH VOLUME!!!!!

Answer 1

A solid lies between planes perpendicular to the x-axis at x=0 and x=3 The cross-sections perpendicular to the axis on the interval 0<x<3 are squares whose diagonals run from the parabola y=-sqrt{x} to the parabola y=sqrt{x}

Answer 2

Note that a diagonal has length √x - (-√x) = 2√x.
So, to find the length of a side of th square (call it L), we have
L^2 + L^2 = (2√x)^2
==> 2L^2 = 4x
==> L = √(2x).

Hence, a square has area √(2x)^2 = 2x.
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Therefore, the volume of the solid equals
∫(x = 0 to 3) 2x dx = x^2 {for x = 0 to 3} = 9.

Answer 3

Thanks man, really appreciate it!!!

Answer 4

im a girl nd no problem hmu.. when yu need anymore help

Answer 5

Thanks miss*

Answer 6

no problem