Topic 14 Homework (Due Tuesday 5/24)
1. Eugene and Rose have decided to sprint race again, this time for 20 seconds, their
speeds at 4 second intervals are recorded below. Both Eugene and Rose are
con
Homework Day 1
Due Thursday 3/31
Table One
A
B
0
3
2
3
4
3
6
3
Table Two
C
D
0
3
2
1
4
-1
6
-3
Table Three
E
F
0
1
0
2
4
3
4
4
Figure 1
1. Consider the relationships above in Table One, Two and Three
1. The HW Graph represents 100 minutes of Eugenes bike trip.
Small HW Graph
Use large version for work
Download more than copy from hw page as needed
Calculus Concepts: Secant Line Average Rate of Cha
y
1. The HW #1 graph is given on a separate sketch page.
7
6
5
4
3
2
1
x
-0.5
0.5
1
1.5
2
2.5
3
-1
a. The HW #1 graph is a function and its first and second derivatives. Label the curves
f ( x ) , f '
1.
Small HW #1 Graph
Use large version for work
Download more than copy from hw page as needed
a. Use the HW #1 graph page and carefully sketch tangent lines at x = 0 , x = 1 , x = 2 and
x = 3 for thi
7. Willy Wonka wishes to make boxes of maximum volume to display their golden eggs. To
construct the boxes, the top and one end will be made of cellophane and the remaining
sides will be cut from a sh
3. Eugene has gone on an extended bike trip. Using the included graph and the list of data
points as you answer each of the following questions. Show all of your work for parts b)
and c).
As with Euge
Homework Day 3 (Due 4/7)
5. I need to fence in a new rectangular portion of my yard for my dog Mystic. I have
purchased 60 feet of fencing and I plan to use the house as one side of the pen.
a. Which
7. Willy Wonka wishes to make boxes of maximum volume to display their golden eggs. To
construct the boxes, the top and one end will be made of cellophane and the remaining
sides will be cut from a sh
1. The HW #1 graph is given on a separate sketch page. Which graph is the function and which
graph is the derivative? Label the curves f ( x ) and f ' ( x ) and carefully explain your choice
using key
1. Find the derivative of each of the following using the Product or Quotient Rules as
appropriate. Show your work. Dont simplify unless you are asked to.
a.
y = (1 + 3x)(1 + 5 x)
b.
1
y = 1 + 2 4 x 3
Final Homework Assignment Answers
Eugene, Rose and Corvy have discovered a secret portal to the planet Velocipede where the
gravitational constant is slightly less than the gravitational constant of e
MATH 495.595 / PRACTICE FINAL EXAM QUESTIONS
SOLUTIONS / COMMENTS
1. C is f ( x ) , A is f ' ( x ) and B is f ' ' ( x )
a
3a
a
a + + c = 99 c = 99
=b
2. a + b + c = 99
2
2
2
2
3
a
3a
99a
3a
9a 2
Maxi
MATH 495.595 / PRACTICE MIDTERM EXAM QUESTIONS
Table One
A
B
0
2
1
3
2
3
3
4
Table Two
C
D
1
3
2
6
3
9
4
12
1. For each of the given (input, output) relationships in Tables One and Two; answer the
fol
Topic 15 Homework (Due Tuesday 5/31)
1.
a.
b.
c.
d.
e.
2.
f ( x) = x 2 + 1
Using an interval of width 0.5, sketch f ( x) = x 2 + 1 from x = 2 to x = 3
with lower bound rectangles (to compute minimum a
Ch 13 MC Review
AP Stats
Name_
Date_Period_
The following information is used in Questions 1 to 4.
A random sample of 80 companies from the Forbes 500 list was selected and the relationship between sa