I can't find the volume of solid sqrt(x) + sqrt(y) + sqrt(z) = 1. It's a graph but I wish I had a graphing calculator to see it. It's bounded by x=0, y=0, z=0. I'm teaching myself this stuff and think integration using a change of variables by making x=u^2? This would be a transformation of T...
https://www.physicsforums.com/attachment.php?attachmentid=11737&stc=1&d=1196123253
parallelepiped.JPG
here is a good diagram for you to visualize... take care
You're right, in two dimensions x and y the area is A=|bxc|. The height is actually |a|*|cos(theta)|. Where theta is the angle between vector a, and the cross product of vectors b and c. I'll include a picture but I hope this helps analytically to prove it. V=|a dot product to (b cross product...
Homework Statement
Maximize the Riemann Sum ##\Sigma^{n}_{i=1}x_{i}*y_i## subject to constraints ##\Sigma^{n}_{i=1}x^{2}_{i}=1## and ##\Sigma^{n}_{i=1}y^{2}_{i}=1 ##
Homework Equations
My teacher doesn't speak English very well. I'm in Calculus 3 and the average on his exams are...