Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R. R x dA R: sector of a circle in the first quadrant bounded by y = 169 − x2 , 12x − 5y = 0, y = 0

Aclothing store has the sign shown in the shop window. pani sees the sign and wants to buy 3 shirts and 2 pairs of jeans. the cost of each shirt before the discount is $12, and the cost of each pair of jeans is $19 before the discount. write and simplify an expression to find the amount pani pays if a $3 discount is applied to her total

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.

Which is the scale factor proportion for the enlargement shown?