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:
5
Step-by-step explanation:
3-(-2)=5
Answer:
45 minutes
Step-by-step explanation:
75% is the same as 
. This means that we can multiply 60 by to find 75% of 60.
The volume of the new rectangular prism would be 270 cubic centimeters. The reason for this is that when only one dimension is changed, the overall volume is only changed by that same relationship. Because only the height was cut in half, this would be only one of the dimensions.
Answer:
10x.............
Step-by-step explanation:
or x=10
