Diff Eq's: Solutions to Problems in Sections 5.3

Diff Eq's: Solutions to Problems in Sections 5.1-2

MTH-075 Practice Test #5 Answers

Answers to MTH-075 Practice Test 5
(Note: Answers are written on one line, so use PEMDAS to interpret.
If multiplication occurs after a division slash, it is still done before the division.)

1.    x cannot equal 4 or 9
2.    C
3.    B
4.    A
5.    D
6.    (p+3)/(r+4)
7.    (x–6)/(x–9)
8.    z+p
9.    (2x+3)/(x+1)
10.    –1/12x(x+2)
11.    2(x+3)/5(x–4)
12.    (x+3)/x
13.    C
14.    B
15.    1/(x–5)
16.    (11x+9)/24
17.    (12x–21)/x(x+3)
18.    (4x^2–7c–33)/x(x–10)
19.    x=1/2
20.    x=4

Diff Eq's: Solutions to Problems in Section 4.4

Here are solutions to problems #1-17 odd in Section 4.4 where we solve non-homogeneous linear DEs with constant coefficients, where the forcing functions are sums and products of polynomials, exponentials, and sine and cosine. The last few involve a great deal of bookkeeping to determine the coefficients.

Note that in #15, the forcing function has the same frequency as the natural frequency gotten from solving for the complementary solution. Therefore, you might have guessed the particular solution to be of the form x(A cos ωx + B sin ωx), but if you tried it, you found it didn't work. It would have worked if the forcing function weren't already multiplied by x. Since it is, we must instead propose a particular function with both sine and cosine multiplied by 2nd order polynomials with undetermined coefficients. (Actually, you could always err on the side of caution and propose higher order polynomial multiples. That would be a lot of useless busy-work, though, in cases where we can be sure of the order of the polynomial in the solution.)

MTH-075 Practice Test #5

Here is practice test 5.


MTH 075 Practice Test 5 -

Diff Eq's: Solutions to Problems in Section 4.3

Here are solutions written out in detail for the Section 4.3 HW. I meant to do problem 27 but did problem 29 twice instead.

Diff Eq's: Solutions to Problems in Sections 4.1 and 4.2

Here are detailed solutions to the homework problems assigned for 4.1 and 4.2. I will post solutions for 4.3 and 5.1, 2 & 4 as soon as I can get to it.

MTH-075 Practice Test #4

Below is the practice test we will use for review on Wednesday, June 20, in preparation for Test 4 on Monday, June 25.

As usual, if you have trouble downloading this, email me at ebailey@bcc.edu and I'll send it to you.


MTH 075 Practice Test 4 -

MTH-075 Practice Test #3 and Test Announcement

Test 3 will be in class on Monday, June 18. It will cover sections 5.1 through 5.8.

Here is Practice Test #3. We will follow it for our review on Wednesday, March 28. If you have trouble downloading it, email me and I will send you a copy.



MTH075 Practice Test 3 -

MTH-230 Homework, Sections 4.1-3

Reminder: Test 1 is open in the Testing Center in Mt. Laurel and you have until Thursday, June 14 to go take the test.

Section 4.1 #1-9 (odd), 6, 15-21 (odd), 37, 41

MTH-075 Sections 5.1-8 HW Due and Test 3 Monday, 6/18

Unit Test 3 will be Monday, 6/18, at the beginning of class (5:30PM). The homework will also be due then. Turn in all eight sections, less the review exercises, stapled together.

Unit III:Chapter 5: Exponents and Polynomials

Section 5.1 - Adding and Subtracting Polynomials
Assignment: pp. 367-369 # 1-33 odd, # 41, 43, 53-69 odd

Section 5.2 - The Product Rule and Power Rules for Exponents
Assignment: pp. 377, 378 # 1-77 odd

Section 5.3 - Multiplying Polynomials
Assignment: pp. 383, 384 # 1-33 odd

Section 5.4 - Special Products
Assignment: pp. 389, 390 # 1-10 all, 19-31 odd, 43-48 all

Section 5.5 - Integer Exponents and the Quotient Rule
Assignment: pp. 399, 400 #1-31 odd, 37-69 odd

Section 5.6 - Dividing a Polynomial by a Monomial
Assignment: pp. 405, 406 # 7-24 all

Section 5.7 – Dividing a Polynomial by a Polynomial
Assignment: pp. 411, 412 # 5-25 odd

Section 5.8: Scientific Notation
Assignment: p. 417 # 1-31 odd

Review Chapter 5:
Assignment: pp. 427, 428 # 1-24 all and Sample Test 3

MTH-075 Practice Test #2

Here's Practice Test 2. In addition to all the homework for Chapter 3, work the problems on this test prior to Wednesday in preparation for the test review (and for Test 2 on Monday, June 11). If you have trouble downloading the practice test, email me at ebailey@bcc.edu ASAP and I'll send you a copy. If you still don't have the book and need the homework problems scanned and posted here, also email me ASAP.

MTH075 Practice Test 2 -

Answers:
1) 3(-4)+5(2)=-2? yes
2) B
3) (0, -4),(4, 0),(8,4) (Then plot these points and draw a straight line though them.)
4) (0, -3),(3,3),(-3,-9) (Then plot these points and draw a straight line though them.)
5) A
6) Make an x|y table and fill in at least two points in it. Easiest are the intercepts, (4,0) and (0,4). Then plot these points and draw a straight line though them.
7) Ditto, except the intercepts are (0,4) and (-8,0).
8) Vertical line through x=3.
9) You don't need help with this, I hope!
10) -7/6
11) 0
12) B
13) C
14) A
15) C
16) y = (5/2)x - 2
17) y = (3/4)x
18) Dashed horizontal line through y = 4, everything below it shaded.
19) Solid diagonal line through the origin with slope of 3, everything to the left of it shaded.
20) Solid diagonal line through the points (0, 4) and (3, 0), everything to the left of it shaded.

Diff Eq's: Solutions to Problems in Sections 2.4 and 2.5

Diff Eq's: Solutions to Problems in Sections 2.2 and 2.3