CWA9e-FEB_97_07

CWA9e-FEB_97_07 - CALCULUS WITH APPLICATIONS Name: Final...

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Unformatted text preview: CALCULUS WITH APPLICATIONS Name: Final Examination, Form B Choose the best answer. 1. Find the coordinates of the vertex of the graph of f ( x ) = 2 x 2 + 10 x 17 . 1. (a) 5 2 , 59 2 (b) 5 2 , 59 2 (c) ( 5 , 42) (d) (5 , 42) 2. Write the equation m p = q using logarithms. 2. (a) log m p = q (b) log q p = m (c) log p q = m (d) log m q = p 3. Solve 1 e 2 x = 14 . (Round to nearest thousandth.) 3. (a) 1 . 320 (b) 2.639 (c) 2 . 639 (d) 1.320 4. Evaluate lim x 9 x 9 x 3 . 4. (a) 0 (b) 3 (c) 6 (d) The limit does not exist. 5. Find all values of x at which f ( x ) = x 2 5 x + 6 x 2 7 x + 12 is not continuous. 5. (a) 3 (b) 4 (c) 3 and 4 (d) The function is continuous everywhere. 6. Find the average rate of change of y = x 2 + x between x = 4 and x = 12 . 6. (a) 9 (b) 10 (c) 17 (d) 25 7. Find the derivative of y = 3 x 3 e 2 x . 7. (a) 27 x 2 e 2 x 6 x 3 e 2 x (b) 18 x 2 e 3 x (c) 9 x 2 e 2 x 6 x 3 e 2 x (d) 6 x 2 e 2 x 6 x 3 e 2 x 17 18 CALCULUS WITH APPLICATIONS Final Examination, Form B 8. Find the derivative of y = x 2 ln 3 x . 8. (a) 2 x 2 (ln 3 x ) 2 (b) 6 x ln 3 x x 3 (ln 3 x ) 2 (c) 2 x ln 3 x x (ln 3 x ) 2 (d) 6 x ln 3 x + x 3 (ln 3 x ) 2 9. Find the instantaneous rate of change of s ( t ) = t 2 2 2 t 2 at t = 2 . 9. (a) 3 2 (b) 5 2 (c) 7 2 (d) 9 2 10. Find an equation of the tangent line to the curve f ( x ) = 1 x +2 at the point 2 , 1 4 . 10. (a) x 16 y = 6 (b) x 4 y = 3 (c) f ( x ) = 1 16 (d) y = 1 ( x + 2) 2 11. Find h (3) if h ( x ) = 400 3 x +7 . 11. (a) 100 (b) 25 8 (c) 75 8 (d) 200 12. Find the largest open interval(s) over which the function g ( x ) = x 3 12 x 2 + 36 x + 1 is increasing. 12....
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CWA9e-FEB_97_07 - CALCULUS WITH APPLICATIONS Name: Final...

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