Answer:
4/5
Step-by-step explanation:
points: (10,5), (5,1)
(y2-y1)/(x2-x1)
= (5-1)/(10-5)
= 4/5
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Answer:
The square cake is has a larger area by about 40.73 square inches
Step-by-step explanation:
Find the area of the top of each cake.
The square cake has an area of 81 sq inches, ( length x width = Area, the
length is 9)
The round cake has an area of 16π, which is about 50.27 square inches
(A = πr², here r is 4, radius is half the diameter)
81 - 16π = 81 - 50.27 = 40.73 square inches
I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set

for this example.)
The length of each cross section (the side lying in the base) has length determined by the horizontal distance

between the y-axis

and the curve

. In terms of

, this distance is

. The height of each cross section is twice the value of

, so the area of each rectangular cross section should be

.
This means the volume would be given by the integral
As a improper fraction, its 127/100