A cookie recipe that yields 24 cookies requires 1 3/4 cups of butter. When the ingredients in this recipe are increased proporti
onally, how many cups of butter are required for the recipe to yield 72 cookies?
1 answer:
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I suppose the integral is
The integration region corresponds to a sector of a cirlce with radius 5 subtended by a central angle of π/4 rad. We can capture this region in polar coordinates by the set
Then ,
, and
. So the integral becomes