MATH 10450 TEST 1 STUDY GUIDE
(1) Astronomy
(a) Know the story of how Eratosthenes measured the radius of the earth.
See p.9 of the textbook.
(b) Know the denition of stellar parallax and its applications to measuring
the distance to celestial bodies. p.2
Calculus I
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will depend up on
several issues. If the section is a revie
Calculus I
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will depend up on
several issues. If the section is a revie
Calculus I
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will depend up on
several issues. If the section is a revie
1. Estudiar para el examen de Investigacin de Operacin
2. Estudiar para el examen de Sistemas Operativos
3. Hacer la tarea de conjuntos de autmatas
4. Hacer manual de usuario y tcnico de proyecto de autmatas
5. Hacer tarea de While circular de Sistemas op
i l 0
Volumes by IntegrationDisc Method /Q r083 v Sec-Honou
S ll'C' CL S/WQSLZi
1. Use the disc method to nd the volume when the region bounded by the given
curves is revolved about the given axis:
(a) y = x +1, x = O, y = O revolved about the x -axis.
Centroids/Center of Gravity Homework
Find the center of mass of the point masses lying on the x-axis:
(a) m =6,m =3,m3=5
1
1
2
=5,x2=1,x =3
x 3
(b) m,=12,m2=l,m3=6,m4=3,m5=ll
x,=3,x2=~2,x3=1,x4=0, x524
Two children are going to play on a seesaw. One child
path
ABEF
ABEGHIL
ABEGHJKL
Time
30+65+30+1
30+65+30+30+20+25+25
30+65+30+30+20+10+1+25
Total time
126
225
211
ACDGHIL
ACDGHJKL
30+60+50+30+20+25+25
30+60+40+30+20+10+1+25
240
196
Note;
The longest route time path for the hill construction is ACDGHIL and t
QUE S TION 1
What is the Internal Rate of Return (IRR) for the following cash
flows?
Year
CFs
0
-800
1
100
2
200
3
300
4
400
Enter your answer rounded off to two decimal points. Do not enter %
in the answer box. For example, if your answer is 0.12345 then
Calculus I
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will depend up on
several issues. If the section is a revie
Calculus I
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will depend up on
several issues. If the section is a revie
MATH 10450: QUIZ 2
NAME: Solution Key
This quiz is out of 10 points. Partial credit will be given. Show all of your work!
(1) Let C be a circle with radius r. What is the arclength s of the part of the circle traced out as a
radius passed through radians?
MATH 10450: QUIZ 1
NAME: Solution Key
This quiz is out of 10 points. Partial credit will be given. Show all of your work!
(1) Let ABCD be a parallelogram. Let DCF and AEF be straight lines. Let AE bisect the angle
BAD. Prove that the triangles ABE, ADF, E
MATH 10450: QUIZ 4
NAME: Solution Key
This quiz is out of 10 points. Partial credit will be given. Show all of your work! There are FOUR problems
on this quiz, do not miss the question on the back!
(1) Demonstrate that the curve 16x2 + 25y 2 = 9 is an ell
MATH 10450: QUIZ 5
NAME: Solution Key
This quiz is out of 10 points. Partial credit will be given. Show all of your work!
(1) Calculate the derivative of f (x) = x3 using the denition of the derivative.
)
Solution. We have f (x) = limh0 f (x+hhf (x) = lim
MATH 10450: QUIZ 6
NAME: Solution Key
This quiz is out of 10 points. Partial credit will be given. Show all of your work!
(1) Calculate the limit:
sin x
lim
x 0 x
Hint: LHpitals Theorem says that if f (a) = 0 and g (a) = 0, and both f (x) and g (x) are di
MATH 10450: QUIZ 7
NAME: Solution Key
This quiz is out of 10 points. Partial credit will be given. Show all of your work!
(1) Let f (x) = x3 + 3x2 24x + 1. Find all critical points, and determine the local maximum and local
minimum points.
Solution. We ha
MATH 10450 FINAL EXAM STUDY GUIDE
(1) Dierentiation and Integration
Be able to compute elementary derivatives and antiderivatives. You may have to go
back to the denition of the derivative or the geometric interpretation of an integral.
Be familiar with t
MATH 10450 TEST 2 STUDY GUIDE
(1) Derivatives to Know
Fill in the derivatives in the table below, and know them for the exam.
d(eu ) =
d(sinu) =
d(ln(u) =
d(au ) =
d(cosu) =
d(xn ) =
These derivatives contain an arbitrary function u, so that you can use t
Calculus I
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will depend up on
several issues. If the section is a revie
MATH 10450: QUIZ 1
NAME: Solution Key
This quiz is out of 10 points. Partial credit will be given. Show all of your work!
(1) Adam can dig 3 holes in one day. Bob can dig a hole in 3 of a day. How much time does it take
4
Adam and Bob to dig a hole togeth