Answer:
Surfer's Town is located at 15° South, 50° East
Answer:
Explanation:
The Catholic Reformation was the intellectual counter-force to Protestantism. The corruption in the church with the political and economic power of the church and brought resentment with all classes especially the noble class.
CALCULATOR PART
1. The area of R + S is unsigned, meaning you want to find
where ![[a,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D)
is the interval between the leftmost and rightmost intersections of 
and 
.
First use your calculator to find these intersections:
so that 
and 
. Now compute the integral using your calculator:
2. The volume, using the washer method, is given by the integral
3. A circle of radius 
has area 
; a semicircle with the same radius thus has area 
. Each cross section of this solid is a semicircle whose diameter is the vertical distance between 
and 
, or 
. In terms of the diameter 
, the area of each semicircle would be 
. Then the volume of the solid is
NON-CALCULATOR PART
4. The mean value theorem says that for a function 
continuous on an interval and differentiable on 
, there is some 
such that
If this happens to be an antiderivative of , then we end up with
is continuous and differentiable everywhere, so the MVT applies. We have 
, so the MVT tells us there is some 
such that
That is, the average value of on ![[0,\pi]](https://tex.z-dn.net/?f=%5B0%2C%5Cpi%5D)
is 0. The MVT says there is some 
in the interval such that the function takes on the average value itself; this happens for 
.
5. This question seems to be incomplete...
Answer:
She realizes that her race and gender will make it difficult for her to achieve her goals.
Explanation:
