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Quiz Solutions for MTH 120 - Summer 2005, Quizzes of Pre-Calculus

The solutions to quiz # 31 for the mth 120 course offered at essex county college during the summer of 2005. The quiz covers topics such as expanding powers of a binomial and converting angle measures to radian measure.

Typology: Quizzes

Pre 2010

Uploaded on 08/08/2009

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MTH 120 Summer 2005
Essex County College Division of Mathematics
Quiz # 31 Printed May 16, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers. Justify your answers algebraically
whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your
calculator, sketch all relevant graphs and write down all relevant mathematics.
1. Find the numerical coefficient of the term whose variable part is x6y3in the expansion of
(x2y)9
.
Solution:9
6(x)6(2y)3= 84 ·(8) x6y3=672x6y3
So, the numerical coefficient is 672 .
2. Convert each of the following angle measures to radian measure.
(a) 60=
Solution:
60= 60
·π
180=π
3
(b) 90=
Solution:
90= 90
·π
180=π
2
(c) 50=Solution:
50= 50
·π
180=5π
18
1This document was prepared by Ron Bannon using L
A
T
E
X 2ε.
1

Partial preview of the text

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MTH 120 — Summer — 2005 Essex County College — Division of Mathematics Quiz # 3^1 — Printed May 16, 2005

Name:

Signature:

Show all work clearly and in order, and box your final answers. Justify your answers algebraically whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your calculator, sketch all relevant graphs and write down all relevant mathematics.

  1. Find the numerical coefficient of the term whose variable part is x^6 y^3 in the expansion of

(x − 2 y)^9.

Solution: (^) ( 9 6

(x)^6 (− 2 y)^3 = 84 · (−8) x^6 y^3 = − 672 x^6 y^3

So, the numerical coefficient is −.

  1. Convert each of the following angle measures to radian measure.

(a) 60◦^ =

Solution: 60 ◦^ = 60◦^ ·

( (^) π 180 ◦

π 3

(b) 90◦^ =

Solution: 90 ◦^ = 90◦^ ·

( (^) π 180 ◦

π 2

(c) 50◦^ = Solution:

50 ◦^ = 50◦^ ·

( (^) π 180 ◦

5 π 18

(^1) This document was prepared by Ron Bannon using LATEX 2ε.