CWA9e-FEA_97_06

CWA9e-FEA_97_06 - FINAL EXAMINATIONS AND ANSWERS CALCULUS...

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Unformatted text preview: FINAL EXAMINATIONS AND ANSWERS CALCULUS WITH APPLICATIONS Name: Final Examination, Form A 1. Find the coordinates of the vertex of the graph of f ( x ) = − 2 x 2 + 30 x + 45 . 1. 2. Write the equation 2 a = d using logarithms. 2. 3. Graph the function y = log 2 ( x − 3) + 4 . 3. 4. Evaluate lim x → 4 x − 4 √ x − 2 . 4. 5. Find all values of x at which g ( x ) = x − 2 x − 5 is not continuous. 5. 6. Find the average rate of change of y = √ 2 x + 1 between x = 4 and x = 12 . 6. 7. Find the derivative of y = 7 x 2 e 3 x . 7. 8. Find the derivative of y = ln(3 x ) x +1 . 8. 9. Find the instantaneous rate of change of s ( t ) = 3 t 2 − 8 t at t = 2 . 9. 10. Find an equation of the tangent line to the graph of y = ( x 2 + 3 x + 3 ) 8 at the point ( − 1 , 1) . 10. 11. Find h (2) if h ( x ) = 6 √ 4 x +17 . 11. 12. Find the largest open intervals where f is increasing or decreasing if f ( x ) = 2 x 3 − 24 x 2 + 72 x. 12. 13 14 CALCULUS WITH APPLICATIONS Final Examination, Form A 13. Find the locations and values of all relative extrema of g if g ( x ) = x 2 + 5 x + 3 x − 1 . 13....
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CWA9e-FEA_97_06 - FINAL EXAMINATIONS AND ANSWERS CALCULUS...

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