Find the volume formed when the region enclosed by 'f(x)=2x^(2),g(x)=x^(4)-2x^(2),h(x) =0' (area in the first quadrant) is rotated about the y-axis. Sketch a figure of the area rotated and find the volume using both disk/washer method and the shell method. You must display integrals using both methods.

Clara solved the equation 7/3x = −2/3 as shown → 7/3x( 3/7 ) = −2/3 ( 3/7 ) x = −14 what is clara’s error?

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?

Multiply sixth of sixty six by a half of ten show step by step method