Cross sections for volumes method only:
question:
given
y = x cubed
y = 0
x = 1
cross sections are equilateral triangles
perpendicular to the y axis
no typo...
so is the base equal to 1-(cubed root of y)
and my height is that base (1 - cubed root of y) , times the (cubed root of 3...
ok, I see that height is b times square root of 3 all over 2
so area is (square root of 3 )divided by four, times b squared.
is my side of the triangle equal to that top graph which is x = cube root of y?
do I set b = cube root of y and use those values in the area calculation?
Obviously I...
ok, here goes:
Cross sections for volumes method only:
question:
given
y = x cubed
y = 0
x = 1
cross sections are equilateral triangles
perpendicular to the y axis
so first I think (watch out) that when it says perpendicular to the y-axis you use y values on your integral but have...
ok, thanks everyone.
I guess I must have done something wrong but get the answer now.
Of course I should have asked the next question first as now I am stuck on it. Can you post more than one question a day or is that considered a 'no can do' thing?
yes, I got that except one of the 4x I had 4 instead
so, if that is correct...
then I do the integral math, find that
then I plug in 2
then I plug in -1
and subtract the two answers?
I need help please on a calculus problem. I am trying to teach myself and am doing fair. I am stuck on this though.
Question:find the volume using CROSS SECTIONS that are squares.
base is bounded by
y = x + 1
y = x squared - 1
cross sections are squares
perpendicular to the x axis
I...