CWA9e-FEB_97_07

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

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

{[ snackBarMessage ]}

### Page1 / 8

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online