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

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Unformatted text preview: 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 ) =- 4sin 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....
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This note was uploaded on 08/05/2011 for the course MATH 17 taught by Professor Aaronjamesporlante during the Spring '11 term at University of the Philippines Diliman.

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

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