Outline for Integrated 3 Finals

Fall 2004

 

Questions

 

1.        Remember Height(time) = -16 feet/second2 * t2 + sin(angle)*velocity*t + init height and Distance(time) = cos(angle) * velocity * t

If a baseball player throws a ball at 160 ft/sec at 10o from six feet high, how far will the ball travel before it hits the ground? (worth 15 points

2.        Solve the following:

          ………..

3x = \/16x + 48

 

3.        Graph f(x) = 4x2/(3x2 –2), what are the asymptotes for both x and y.  Remember that if you use a graphing calculator, it plots asymptotes as well as the real graph, so be careful.

4.        There are two cities with the following temperatures during the year.  Find the mean, median, and mode for each and then make comparative box and whisker graphs for both:

City

Jan

Feb

Mar

Apr

May

Jun

Jul

Aug

Sep

Oct

Nov

Dec

A

25

22

34

67

83

112

115

115

85

56

38

27

B

87

83

80

79

78

78

79

83

85

86

87

88

 

 

5.        Write and graph a set of linear functions that go between the following points:  (0,3); (3,9); (6,6); (9,9); (12,0)

6.        Identify which sequences reach an asymptote (A) and which do not (N).  If they do, what is it?

a.      ½, 2/3, ¾, 4/5            c.  21/2, 21/4, 21/8, 21/16

b.    1, 2, 4, 8           d.  2, 21/2, 3, 31/2

7.        Identify which sequences are arithmetic and which are geometric.

a.   3, 6, 9, 12                  c.  1, ½, ¼, 1/8

b.   2, 4, 8, 16                 d.  1, ½, 0, -½

8.        Find out how many elements the following sequence has, write the sigma notation for summing the elements and calculate the final sum:

3, 6, 9, 12, … , 36

9.        Find the first four terms and the 17th term of the following equations:

a.   bn = |n – 3|

b.  dn = (5 – n)/n

10. What is the asymptote for the sum of the following series:

a1 = 18, an = 0.4a(n-1)