{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Final 2009

# Final 2009 - Full Name MATH 122 Final Exam Section Thursday...

This preview shows pages 1–5. Sign up to view the full content.

Full Name: Section: MATH 122: Final Exam Thursday, December 10, 2009 Show all work and justify your answers. Your solutions should read nicely and be legible. They should not be composed of regurgitated fragments of your mind scattered throughout the page. If you run out of room for a problem on the front, then continue onto the back. Remember no calculators are allowed. 1. (a) Find the length of the curve given parametrically by x = sin 1 ( t ), y = ln( 1 t 2 ) for 0 t 1 / 2. (Simplify your answer completely.) [13 pts] (b) Sketch the curve x = 2( t sin( t )), y = 2(1 cos( t )) on 0 t 2 π and the find the area between the curve and the x -axis. [12 pts]

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

View Full Document
2. (a) Evaluate 1 4 x x 2 dx [12 pts] (b) Evaluate 3 x 2 + 7 x + 7 ( x + 2)( x 2 + 1) dx [13 pts]
3. (a) Determine if the integral 5 −∞ 1 x 2 + 6 x + 13 dx converges or diverges. If it converges determine the value to which it converges. [15 pts] (b) Approximate 1 0 e x 2 dx using the Trapezoidal Rule with n = 5 subintervals. [10 pts]

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

View Full Document
4.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 9

Final 2009 - Full Name MATH 122 Final Exam Section Thursday...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online