(6) (bonus question: worth 10 points. total points for assignment not to exceed 100.) use an iterated integral to compute the volume of the ellipsoid x^2/a^2 + y^2/b^2 + z^2/c^2 = 1. the a, b, and c are positive constants.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

What is the area of a triangle with vertices at (-3 3) (-3,2) and (1,2)?

Find the value of the variable and the length of each chord for #5 and #6.