Calculate the integral of f(x, y)=7xf(x, y)=7x over the region d bounded above by y=x(2−x)y=x(2−x) and below by x=y(2−y)x=y(2−y). hint: apply the quadratic formula to the lower boundary curve to solve for yy as a function of x

You are at a restaurant and owe $38 for your meal. you want to leave a 20% tip. how much will your tip be?

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

As a salesperson you get $50/day and $3.60/each sales you make. if you want to make $60 in one day, how many sales would you need need to make ? a 3b 4c 5d 6 show work.