Compute the double integral ∫∫D 5xy^2dxdy over the region D bounded by xy=1, xy=16, xy^2=1, xy^2=36 in the first quadrant of the xy-plane. Hint: make a change of variables T:R2→R2 that converts a rectangular region D∗ in the uv-plane into the region of integration D=T(D∗) in the xy-plane. Double Integral =

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? 1. define a variable for the situation. 2. write an inequality that represents the situation. 3.solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. 4. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

The reflexive property of congruence lets you say that ∠pqr ≅

Klmn and pqrs are similar trapezoids. which side of pqrs corresponds to lm