Answer:
Step-by-step explanation:
In this cross sections problem, we can integrate from -r to +r (so that the integral covers the entire base of the solid).
The formatting for the integral did not let me put -r on the lower bound, so i replaced it with a, just know that a represents -r here.
Evaluating the integral gives use that it is equal to;
Caution: this answer may not meet your needs, but this is the answer I have come up with with the given information.
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Answer:
1st, 2nd, and last.
Step-by-step explanation:
For the first two common rules can be applied such as 
= ![\frac{\sqrt[n]{a} }{\sqrt[n]{b} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5Bn%5D%7Ba%7D%20%7D%7B%5Csqrt%5Bn%5D%7Bb%7D%20%7D)
and that ![\sqrt[n]{\frac{a}{b} } = (\frac{a}{b})^{n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7B%5Cfrac%7Ba%7D%7Bb%7D%20%7D%20%3D%20%28%5Cfrac%7Ba%7D%7Bb%7D%29%5E%7Bn%7D)
and for the last one this is just simplifying the radical and if you factor it you realize that, 
meaning that you can take the radical off of 5/8 and end up with that final answer
9514 1404 393
Answer:
"complete the square" to put in vertex form
Step-by-step explanation:
It may be helpful to consider the square of a binomial:
(x +a)² = x² +2ax +a²
The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...
2a = 1
a = 1/2
That means we can write ...
(x +1/2)² = x² +x +1/4
But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:
_____
Another way to consider this is ...
x² +bx +c
= x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*
= (x +b/2)² +(c -(b/2)²)
for b=1, c=1, this becomes ...
x² +x +1 = (x +1/2)² +(1 -(1/2)²)
= (x +1/2)² +3/4
_____
* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).
The answer is Angle Y equals 138.
angle y= 180 -42 which gives u 138
