Compute the double integral ∫∫d3xy2dxdy ∫∫d3xy2dxdy over the region dd bounded by xy=1, xy=16, xy2=1, xy2=25 xy=1, xy=16, xy2=1, xy2=25 in the first quadrant of the xyxy-plane. hint: make a change of variables t: ℝ2→ℝ2t: r2→r2 that converts a rectangular region d∗d∗ in the uvuv-plane into the region of integration d=t(d∗)d=t(d∗) in the xyxy-plane.

One expression below in undefined, and the other expression has a well defined value. which expression is undefined and explain why it has no value. which expression is defined? what is the value of that expression and how do you know? what is a different expression using a trig inverse function that is also undefined?

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv