Four friends, A, B, C and D are standing varying distances away from a speaker which is producing sound waves. Which person will
2 answers:
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a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is
b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so
c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so
Then by linearity, we have
The surface area of a sphere is given by 
where r represents the radius.
As the radius is given as 60 meters we replace r with 60 in the formula above to get the surface area.
As the radius is given as 60 meters we replace r with 60 in the formula above to get the surface area.