CHEG 2133 Spring 2016
Final Exam Practice Problems
Example problems no equation sheet
1. The no-slip condition is caused by
a. velocity.
b. density.
c. gases.
d. friction.
2. Although there are many types of fittings, we can calculate the pressure drop ca
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Math 2584 Spring 2013 Home Quiz 5' Drill section: Name:
Signature:
You have to Show and justify all your work
1. A tank initially contains 150 gal of water in which 9 pounds of salt are dissolved.
Brine co
1. Write down the denition of the Laplace transfom. Then use it to compute Lcfw_ f (15)
36323 0 S t < 8
Where f ( ) 2
17 t>813 w
(I) w ~St3 eat z.
(9" a Jeflvj) :y H nag
:3j8; : ESJOIt-iHF45 f:clt= _3_/+ 41?
0 3'5 (70 *5 d)
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H
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2. Find the inverse Laplace transforms below: H [
(a)c~1cfw_
3. Consider the autonomous differentiail'equation y : y2 +4y21. Find the phase portrait
of the O.D.E given above. Make atable as done in class that shows the intervals where
the solutions are increasing/ decreasing, concave up / concave down. Then use the
ngqd1+xdq
2. Solvethe 1min; differential equations given below. In (a) make the substitution 3; = uzL.
(a)
[email protected]:x3yy4 CWUAQ. 19b X?
it
d9 : iL-cfw_i- ">9 Qua: (uusDdX- 59
A, x x V
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. 3L, 01%;"
HAL-txduzoXWULLLJ-x 7
eweaenmwa
' 3 L21
u 3 I
3 ~' ~
Math 2584 Home Quiz4 Drill Section: Name: (AZ/Var
1. Use the method of reduction of order to nd a second solution to the ODE
y + 253; = 0; you may assume that yx) = sin(5:1:) is a solution. Then write down
the general solution.
7 H " i .Lu-SCOJG'XU Q
a
. Consider the autonomous differential equation MW ind the phase
portrait of the O.D.E given above. Make a table as done in class that shows the intervals
Where the solutions are increasing / decreasing, concave up / concave down. Then use the
table to sk
Moth 258.4 Spring 2013 Home Quiz 5 Drill section: Name:
Signature: '
You have to Show and justify all your work 1 Ck 0 L60" Una/v3 (1.121130
1. Solve the ODE in (a). Then nd one particular solution of (b) @1266 13 vLO 1 100
(a) amnm 101mm .
ye) + 9&5) _
Math 2584 Spring 2013
Final exam review
1. Classify then solve the differential equations below by checking the appropriate box or
boxes.
Equation
Linear Separable Exact Homog. Bernoulli
x3 + 3y xy 0 = 0
y 0 + 3y = 3x2 e3x
y 0 = xy 3 xy
x+3y
y 0 = y3x
y 0
Math 2584 Spring 2013 Home Quiz 5 Drill section: Name: 4: Q
Signature:
You have to Show and justify all your work
1. Find the general solution of each second order differential equation given below:
(a) y 7 431 + 43; 2 733+ 11 (>491 3
.2 _
mgcam+4=o 2:)
Chem 3613
Final Exam
May 11, 2016
Version 1
This exam contains 40 questions. Each question is worth 5 points.
Instructions. Answer all questions on the scantron with the letter that corresponds to the best
answer. At the end of the exam, turn in the scant