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MTH 220T Wk 5 – Final Exam

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MTH 220T Wk 5 – Final Exam

Complete the final exam. You have one attempt at the exam. So, be sure to review all previous course materials before attempting the exam.

Question 1

10 Points

How many four-character passwords can be formed using the characters A, B, C, 1, 2 if the characters can be repeated?

 

 

256

 

 

625

 

 

120

 

 

1024

 

 

Question 2

10 Points

Find the radius of the circle 5 x squared plus 5 y squared plus 10 x minus 20 y equals 55 .

 

 

r equals 16

 

 

r equals 4

 

 

r equals 35

 

 

r equals 6

 

 

Question 3

10 Points

Find the sum of the first six terms in the sequence {1, 5, 9, 13, ...}.

 

 

66

 

 

21

 

 

60

 

 

11

 

 

Question 4

10 Points

Find the sum of the following infinite series:

 

begin inline style sum from i equals 1 to infinity of end style 5 times 0.2 to the power of i minus 1 end exponent

 

 

 

 

25

 

 

 

 

5

 

 

Question 5

10 Points

Find the equation of a horizontal parabola that has vertex (-3, -4) and distance to the focus p equals 1 half .

 

 

x equals 1 half left parenthesis y minus 3 right parenthesis squared plus 4

 

 

x equals negative 1 half left parenthesis y minus 4 right parenthesis squared minus 3

 

 

x equals 1 half left parenthesis y plus 4 right parenthesis squared minus 3

 

 

x equals negative 1 half left parenthesis y plus 3 right parenthesis squared minus 4

 

 

Question 6

10 Points

Find the sum of the following series:

 

begin inline style sum from n equals 1 to 30 of end style 2 n

 

 

435

 

 

900

 

 

465

 

 

930

 

 

Question 7

10 Points

Find the sum of the first five terms using the geometric series formula for the sequence left curly bracket 1 half comma space minus 1 comma 2 comma negative 4 comma... right curly bracket .

 

 

11 over 2

 

 

11 over 32

 

 

fraction numerator negative 31 over denominator 6 end fraction

 

 

33 over 2

 

 

Question 8

10 Points

Convert the equation 6 x squared minus 3 y squared plus 12 x minus 18 y minus 3 equals 0 to the standard form of a hyperbola.

 

 

fraction numerator 2 left parenthesis x plus 1 right parenthesis squared over denominator 1 end fraction plus fraction numerator left parenthesis y plus 3 right parenthesis squared over denominator 1 end fraction equals 1

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