1.64
2. 95%
Hope this helps you.
A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side.
For example

or

***************************************

The answer is "D"
Step-by-step explanation:
-4x - 28 = -4(x + 7) or 4(-x - 7)
Topic: Algebraic factorization
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Answer:
The answer would be -x/3x^6
Step-by-step explanation:
The first step that you should take is apply the fraction rule.
That would make it -1/3/x^6
Then apply the fraction rule again.
That would make it. 1/3/-x^6
Then apply the last fraction rule.
That would make it -1/3x^6
Answer:
The volume of the solid is 
Step-by-step explanation:
In this case, the washer method seems to be easier and thus, it is the one I will use.
Since the rotation is around the y-axis we need to change de dependency of our variables to have
. Thus, our functions with
as independent variable are:
For the washer method, we need to find the area function, which is given by:
![A=\pi\cdot [(\rm{outer\ radius)^2 -(\rm{inner\ radius)^2 ]](https://tex.z-dn.net/?f=A%3D%5Cpi%5Ccdot%20%5B%28%5Crm%7Bouter%5C%20radius%29%5E2%20-%28%5Crm%7Binner%5C%20radius%29%5E2%20%5D)
By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function
and the inner one by
. Thus, the area function is:
![A(y)=\pi\cdot [(\sqrt{y} )^2-(y^2)^2]\\A(y)=\pi\cdot (y-y^4)](https://tex.z-dn.net/?f=A%28y%29%3D%5Cpi%5Ccdot%20%5B%28%5Csqrt%7By%7D%20%29%5E2-%28y%5E2%29%5E2%5D%5C%5CA%28y%29%3D%5Cpi%5Ccdot%20%28y-y%5E4%29)
Now we just need to integrate. The integration limits are easy to find by just solving the equation
, which has two solutions
and
. These are then, our integration limits.
