These questions come from Sections 4. Solve the differential equation f() = sin 3 + coed satisfying the boundary condition 1' (E) = 2 and...

Instructions: Type solutions to the following questions. You must show your work to receive credit. Furthermore, your solutions must use techniques from the indicated sections. Solutions using material learned later in the course will not be accepted for credit. In particular, you can’t use advanced integration techniques such as integration by substitution, integration by parts, etc.

These questions come from Sections 4.3, 5.3, 5.4 1. Solve the differential equation f"(fi) = sin 3 + coed satisfying the boundary condition 1‘" (E) = 2 andfor) = 4. 2. Find the derivative using Part 1 of the Fundamental Theorem of Calculus. d III-11— sinEtdtdx 3 3. Find the average value affix] = x + cos x over [Eu 2].