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Math 308 Assignment for Unit 5
Due: End of the day Wednesday October 9, 2013
Exercises from Section 3.5 page 183-185:
Do these problems: 3, 4, 5, 6, 8, 9, 10, 11, 18, 28, 33, 34, 36.
To turn in: 5,6,36 (read 33 and understand it before doing 36).
[Aside: Which do you like better 6 or 36?]
Exercises from Section 3.6 page 189-191:
Do these problems: 1, 5, 7, 10, 11, 17, 21.
To turn in: 1,7,10,21.
Read problems 22,24-27 from 3.6 (you don't have to do them)
then answer the following questions:
Extra Problems:
- Borrowing notation from linear algebra, we could say that the
solution to \(L[y]=g\) can be written \(y= L^{-1}[g]\). The "inverse operator"
\(L^{-1}\) operates on the function \(g(t)\) and produces the solution \(y(t)\).
Write down an expression for \(L^{-1}[f(t)]\) if L is as given in problem 27.
(You can assume the results of 27 without doing the problem.)
- Is this inverse operator a linear operator? Justify your answer.
Exam prep questions on sections 3.7,3.8
Do not hand in these problems. They are to help prepare for the exam.
Exercises from Section 3.7 page 202-206:
Do these problems: 1, 2, 5, 7, 11, 17, 19, 21, 23.
To turn in: 2, 5, 11, 19.
Comment: For #11 notice that 11cm is 0.11m.
Exercises from Section 3.8 page 215-217:
Do these problems: 2, 11, 16
To turn in: 11, 17ab.
Comment: For #11 notice that 6in=0.5ft.