(Solution Library) Define F(x) by F(x)=∫_π / 4^x cos 2 t d t Use Part 2 of the Fundamental Theorem of Calculus to find F^prime(x). Check the result in part
Question: Define \(F(x)\) by
\[F(x)=\int_{\pi / 4}^{x} \cos 2 t d t\]- Use Part 2 of the Fundamental Theorem of Calculus to find \(F^{\prime}(x)\).
- Check the result in part (a) by first integrating and then differentiating.
Deliverable: Word Document 
Solution: (a) Suppose that sludge is emptied into a river at
Solution: A traffic engineer monitors the rate at which cars
![[Steps Shown] The accompanying figure (next page)](/images/solutions/MC-solution-library-62385.jpg "[Steps Shown] The accompanying figure (next page) shows the velocity")
[Steps Shown] The accompanying figure (next page) shows the velocity
![[See Steps] In these exercises assume that](/images/solutions/MC-solution-library-62386.jpg "[See Steps] In these exercises assume that the object is moving")
[See Steps] In these exercises assume that the object is moving
![[Solution Library] A rock thrown downward with](/images/solutions/MC-solution-library-62387.jpg "[Solution Library] A rock thrown downward with an unknown initial velocity")
[Solution Library] A rock thrown downward with an unknown initial velocity
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