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 solution for this question is simple. First we need to divide both numbers by 2 which will give us 10 and 7. This is the equation x^2/10^2 + y^2/7^2 = 1sqrt(100-49) = 7.14 (the answer do not have a perfect square root)
Foci are 14.28 units apart
The altitude will be the geometric mean of the lengths, so
. The smaller leg is the hypotenuse of a right triangle sides 4 and
so the usual trig cliche, hypotenuse 8.
Answer: 8
The answer is 90
to find the median of a number is to just find the middle number if you were to put them in order from least to highest
also, there are mean, median, mode calculators that u can use online
