Match the integrals with the type of coordinates which make them the easiest to do. Put the letter of the coordinate system to the left of the number of the integral. ∬D1x2+y2dA, where x2+y2≤4
∫0∫01x, dx dy
∬Zz2 dV, where E is:1≤x≤2,3≤y≤4,5≤z≤6
∬EdV, where E is:x2+y2+z2≤4,x≥0,y≥0,z≥0
a. polar coordinates
b. cartesian coordinates
c. cylindrical coordinates
d. spherical coordinates

Amerchant has coffee worth $60 a pound that she wishes to mix with 50 pounds of coffee worth $90 a pound to get a mixture that she will sell for $70 a pound. how many pounds of the & 60 coffee should be used?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Consider the function f(x)=-5x+3 what is f(-2)