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:
In the Renaissance, when the political systems changed from the Medieval feudal systems, women of every social class saw a change in their social and political options that men did not. ... The role of women was a very scarce role. Women were supposed to be seen and not heard. Rarely seen at that.
Hi, thank you for posting your question here at Brainly.
In order to answer this question, you must have data for the electricity cost. For this example let's follow the electricity cost for USA. According to U.S Energy Information Administration, the an average home costs 12.3 cents per kW-h in January 2017. For consistency, convert year to hours. In a year (365 days), there are 8769 hours.
12.3 cents/kW-h * 0.5 kW * 8769 h = 53929.35 cents = $539.2935
