Answer:
Step-by-step explanation:
We're looking for the two values being subtracted here. One of these values is easy to find:
<span>g(1) = ∫f(t)dt = 0</span><span>
since taking the integral over an interval of length 0 is 0.
The other value we find by taking a Left Riemann Sum, which means that we divide the interval [1,15] into the intervals listed above and find the area of rectangles over those regions:
</span><span>Each integral breaks down like so:
(3-1)*f(1)=4
(6-3)*f(3)=9
(10-6)*f(6)=16
(15-10)*f(10)=10.
So, the sum of all these integrals is 39, which means g(15)=39.
Then, g(15)-g(1)=39-0=39.
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I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
350
Step-by-step explanation:
Using limits, the polynomial that has an even degree and a negative leading coefficient is:
Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.
<h3>What is a limit?</h3>
A limit is given by the value of function f(x) as x tends to a value.
In this problem, to find the polynomial, we have to find the limits as x goes to infinity, hence:
![\lim_{x \rightarrow -\infty} f(x) = [tex]\lim_{x \rightarrow -\infty} -a x^n](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Crightarrow%20-%5Cinfty%7D%20f%28x%29%20%3D%20%5Btex%5D%5Clim_%7Bx%20%5Crightarrow%20-%5Cinfty%7D%20-a%20x%5En)
Since n is even, we have that:
Since it goes down to the left and down to the right, hence the function is:
Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.
More can be learned about limits at brainly.com/question/26270080
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Answer:
I simplify it I got : x - 2 = 0
Step-by-step explanation: