Answer:
A constant
Step-by-step explanation:
Well, ideally I'd like more details, but a number that doesn't change in a mathematical equation is called a constant.
Answer:
Step-by-step explanation:
Consider the given expression is
![\ln (x\sqrt[3]{x^2+1})](https://tex.z-dn.net/?f=%5Cln%20%28x%5Csqrt%5B3%5D%7Bx%5E2%2B1%7D%29)
We need to rewrite the expression as a sum,difference,or multiple of logarithms.
![[\because \sqrt[n]{x}=x^{\frac{1}{n}}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%5Bn%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%5D)
Using the properties of logarithm we get
![[\because \ln (ab)=\ln a+\ln b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%28ab%29%3D%5Cln%20a%2B%5Cln%20b%5D)
![[\because \ln (a^b)=b\ln a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%28a%5Eb%29%3Db%5Cln%20a%5D)
Therefore, the simplified form of the given expression is
.
Answer:
see below
Step-by-step explanation:
There are 7 divisors of 64. Each represents a possible number of bags of cookies:
- 1 bag of 64 cookies
- 2 bags of 32 cookies
- 4 bags of 16 cookies
- 8 bags of 8 cookies
- 16 bags of 4 cookies
- 32 bags of 2 cookies
- 64 bags of 1 cookie
In any trapezoid, the area is given by

where B and b are the two bases, and h is the height. You're given all these elements already, so you only need to plug the values in:

We are asked to determine what happens to the values of

as

approaches

using values of

less than

AND using values of

greater than

.
<span>Observe from the graph that as </span>

approaches

from the left or the right, the values of

increase without bound.
Therefore, we know the following.