First, you should solve for

, which equals

. Now, solve the integral of

=

, to get that

. You can check this by taking the integral of what you got. Now by the Fundamental Theorem
![\int\limits^2_0 {4x} \, dx=[2x^2] ^{2}_{0}=2(2)^{2}-2(0)^2=8](https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E2_0%20%7B4x%7D%20%5C%2C%20dx%3D%5B2x%5E2%5D%20%5E%7B2%7D_%7B0%7D%3D2%282%29%5E%7B2%7D-2%280%29%5E2%3D8)
.
This should be the answer to your question, if I understood what you were asking correctly.
Answer:

Step-by-step explanation:
In the geometric series:

The nth term of the geometric sequence can be calculated using formula

In your case, n = 10, then

Answer:
<em>The answer resides in the explanation.</em>
<em>Pls rate as brainliest </em>
Step-by-step explanation:
The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is 1.2 to 5.5 hours.
The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute is 3.4 to 5.4 hours.
The prediction interval for brand A is larger than the prediction interval for brand B because the estimated standard error of y^ is different for the two intervals.
The prediction intervals are both larger than the corresponding confidence intervals.
The standard error for the estimated mean value of y is smaller than the standard error for the predicted value of y.
The predicted useful life of a brand A cutting tool that is operated at 100 meters per minute is -0.59 hours
The actual predicted useful life of a brand A cutting tool when the speed is 100 meters per minute is 0.0 to 2.3 hours.