SampleQuiz3

# SampleQuiz3 - ings[a y = tan(2 x π 4 large[b y = cot(3...

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Math 107 Section 03 Quiz 2 Sample 1 Solve for x . [a] 2 x 2 e - 3 x - 4 x 3 e - 3 x = 0 [b] e x + 4 - 21 e - x = 0 [c] log 5 ( x + 5) + log 5 ( x - 2) = 1 2 Find the domain [a] y = ln (2 + x - x 2 ) [b] y = ln | x - 5 | [c] y = log ( x + 1) + log (2 - x 2 ) 3 Given P ( - 2 7 , y ) is a terminal point associated with t on the unit circle, and t is in quadrant II. Find sin ( t ) , cos ( t ) , tan ( t ) , cot ( t ) , csc ( t ) , sec ( t ) . 4 State the amplitude and period of the following function, and graph 2 complete periods. f ( x ) = 3 cos ( - 2 x ) 1

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5 State the amplitude, period, phase shift of the following functions. [a] y = - 4 sin [ 1 2 ( x + π 4 )] [b] y = 2 sin ( 2 3 x - π 6 ) 6 State the period, phase shift and vertical asymptotes of the follow-
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Unformatted text preview: ings: [a] y = tan (2 x + π 4 ) large [b] y = cot (3 x-π 2 ) 7 Find the length of an arc that subtends a central angle of π 4 in a circle of radius 8 m . 8 The area of a circle is 72 cm 2 . Find the area of a sector of this circle that subtends a central angle of 30 o . 9 Express the length x in terms of m and trigonometric ratios of θ . 2...
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