Exam I - ) sec( b. dx x x x -+ 4 2 2 2 1 c. dx x x ) ln( d....

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Mathematics 3B Honors – Castroconde Name: Exam I (Chapters 7 and 8) I.D.#: Page 1 2 3 4 5 6 Total Points TO GET FULL CREDIT, SHOW ALL YOUR WORK. 1. First use Calculus to show that the function 3 2 ) ( 3 + = x x f is one-to-one. Then find a formula for its inverse function. 2. Find ) 2 ( 1 - f dx d if x x x x f 2 ) ( 3 5 + - = . 3. Sketch the graph of each function. Label intercepts, asymptotes (if any), etc. a. 2 ) ( 1 + = - x e x f b. 1 ) 2 ln( ) ( - + = x x f
Background image of page 1

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

View Full DocumentRight Arrow Icon
4. Find the exact value of each expression. a. 2 ln 5 e b. ( 29 32 1 2 2 log ) 8 ( log + c. ) 1 cosh( - d. ( 29 ( 29 2 1 arcsin tan - 5. Solve each equation. a. 1 ) 1 ln( ) 1 ln( = - + + x x b. 2 . 0 ) sin( = x 6. Find the derivative of each function. a. 2 ) 5 ln( ) ( x x x f = b. ) 3 arctan( 5 ) ( 2 x x f x = c. ) cosh( ) ( ) cosh( x x e e x f + =
Background image of page 2
7. If ) arctan( y x y + = , find dx dy . 8. Evaluate each limit. a. ) sin( lim x e x x - b. x x x x + - 2 0 ) cos( 1 lim 9. Evaluate each integral. a. + dx x x x ) sec( 5 ) tan(
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

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

View Full DocumentRight Arrow Icon
Background image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ) sec( b. dx x x x -+ 4 2 2 2 1 c. dx x x ) ln( d. dx x ) 4 ( sin 2 e. + dx x x 2 1 1 10. Find the partial fraction decomposition of x x x +-3 1 . 11. How large should we take n in order to guarantee that the Midpoint Rule approximation of 2 1 1 dx x is accurate to within 0.0001? 12. Evaluate each integral. a. -3 1 1 x dx . b. dx x + 1 3 ) 1 2 ( 1 13. Use the Comparison Test to determine whether dx x e x -+ 1 2 is convergent or divergent. 14. Find the area of the region in the first quadrant bounded by the coordinate axes and x e y-= ....
View Full Document

This note was uploaded on 01/21/2011 for the course PHYS 4A 60865 taught by Professor L. oldewurtel during the Fall '09 term at Irvine Valley College.

Page1 / 6

Exam I - ) sec( b. dx x x x -+ 4 2 2 2 1 c. dx x x ) ln( d....

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online