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2_Cal_Solution of Calculus_6e

# 2_Cal_Solution of Calculus_6e - a − 1 = 0 2 a 1 = 0 or a...

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1 2 a 1 = 5; 1 = 5 · (2 a 1); 1 = 10 a 5; 10 a = 6; a = 3 5 . C01S01.007: If g ( x ) = x 2 + 16 and g ( a ) = 5, then: a 2 + 16 = 5; a 2 + 16 = 25; a 2 = 9; a = 3 or a = 3 . C01S01.008: If g ( x ) = x 3 3 and g ( a ) = 5, then a 3 3 = 5, so a 3 = 8. Hence a = 2. C01S01.009: If g ( x ) = 3 x + 25 = ( x + 25) 1 / 3 and g ( a ) = 5, then ( a + 25) 1 / 3 = 5; a + 25 = 5 3 = 125; a = 100 . C01S01.010: If g ( x ) = 2 x 2 x + 4 and g ( a ) = 5, then: 2 a 2 a + 4 = 5; 2 a 2 a 1 = 0; (2 a + 1)(
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Unformatted text preview: a − 1) = 0; 2 a + 1 = 0 or a − 1 = 0; a = − 1 2 or a = 1 . C01S01.011: If f ( x ) = 3 x − 2, then f ( a + h ) − f ( a ) = [3( a + h ) − 2] − [3 a − 2] = 3 a + 3 h − 2 − 3 a + 2 = 3 h. C01S01.012: If f ( x ) = 1 − 2 x , then 2...
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