## 175, 275 -Homework 6

Homework 6 is due Tuesday, October 14, at the beginning of lecture. Same remarks as before apply.

175: Section 7.2, exercises 24, 32, 38, 42.
Section 7.3, exercises 4, 11 32, 39.
Section 7.4, exercises 4, 8, 12, 16, 26, 38, 46.
Each exercise is worth 1 point.

275: Section 12.3, exercises 63, 66, 68, 74-77.
Section 12.4, exercises 4, 10, 32, 42-44, 48, 50.
This homework will be graded out of 10 points. Each exercise is worth 1 point. You can turn in as many exercises as you want. Indicate the ones you want to be extra credit problems. Of those, 2 will be chosen randomly to be graded, so you can have up to 2 extra credit points.

### 4 Responses to 175, 275 -Homework 6

1. aaron says:

I would find it helpful when showing proofs in class that you spend a little bit more time showing every step on the board. The reason I ask for every step to be shown is that I find it hard to follow letters rather than numbers. Thanks I hope this helps.

2. Will Dietrich says:

Hello Dr. Caicedo,

I found values for $A,$ $B,$ and $C$ in all the examples you asked for. I solved them like we would any other problem in the book which is beside the point, however there is a pattern if there is anything to be deduced from that.

When the the numerator is $1:$ $A=-1/2$; $B=1$; $C=1/2.$ When $x:$ $A=0$; $B=1$; $C=0.$ When $x^2:$ $A=1/2$; $B=1$; $C=1/2$.

I’ve been searching the internet trying to find a solution that is more what I believe you are looking for however I haven’t found anything suitable yet. I can’t wait to see the answer to this!

-Will

3. Aubrey says:

Hi! So, I have been working pretty much all day on the last two problems in seciton 7.4. I seeem to get stuck. The last problem in particular, I have evaluated by parts so that I can appropriately integrate for M but when I am looking for x hat my numbers are so far out of the x range. Also, I am once again getting stuck trying to find y hat. I was wondering if you could at least go over it in class? Any hints would be helpful! Thanks

4. Hi Aubrey,
Problem 7.4.38 is just partial fractions after a change of variables.
I think you are trying the wrong approach with 7.4.46, since you are not being asked to find the center of mass of the shaded region. Maybe you meant a different problem?