Answer:
-4, 5/8, 2.9 3
Step-by-step explanation:
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 answer is x=-15 and y=25
Answer:
≈ 1/2 teaspoon
4 2/5 * .11 = .484 teaspoon
Hope this helps :)
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