17exercisesetFE

# 17exercisesetFE - Mathematics 17 Finals Exercise Set I TRUE...

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Mathematics 17 Finals Exercise Set I. TRUE or FALSE 1. Arcsin sin 7 π 12 = 7 π 12 2. The graphs of y = 2 x - 1 and y = x + 1 2 are symmetric about the line y = x . 3. The least common denominator of the fractions with denominators ( x 3 - 8), ( x 2 + 2 x + 4), and ( x 2 - 4)( x - 2) is ( x - 2) 2 ( x + 2) 3 . 4. The equation cos 2 x - sin 2 x = 1 is an identity. 5. The function defined by f ( x ) = - 4 sin π 2 x has period 4 and its graph has amplitude 4. 6. In the sequence p x , 1 x , x , the exponents of x form a geometric sequence. 7. A 180 π cm arc in a circle of radius 135 cm is intercepted by a 240 central angle. 8. | x + 2 | - | x - 2 | + 2 = - 2 if x < - 2. 9. If P is jointly proportional to t and the square of r , and if P = 8 when r = 2 and t = 1 2 , then the constant of proportionality is equal to 4. 10. The function defined by h ( x ) = 6 - x is increasing. 11. 8 - x 2 - 3 x = 4 + 2 3 x + ( 3 x ) 2 for all x 6 = 8. 12. The remainder when ( x 3 + 1 ) ( x - 2) 2 + 7 is divided by ( x + 2) is 7. II. Simplify the following. 1. 1 x 2 + 3 x - 2 3 x - x 2 1 x + 8 9 - x 2 2. Express in standard form: ( 3 7cis20 ) 3 2 + 3 i 3.

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