# 1065 - Math 202 Part I Final Exam Spring,2008 Do all parts...

This preview shows pages 1–2. Sign up to view the full content.

Math 202 Final Exam Spring,2008 Part I Do all parts of the following six problems. (1) Compute the derivative dy dx for each of the following (18 points) : (a) y = 2 arctan(3 x ) ; (b) y = x 2 + x x ; (c) y = ln( q x 4 + 3 x ) . (2) Compute each of the following integrals(24 points): (a) Z x 3 p 4 + x 2 dx ; (b) Z x 3 - 1 x 3 + x dx (c) Z cos 3 ( x ) dx ; (d) Z 1 0 x ln( x + 1) dx. (3) Compute each of the following limits (10 points): (a) Lim x →∞ x 2 + e x x 3 + e x ; (b) Lim x →∞ x 1 /x . (4) The region R in ﬁrst quadrant of the xy plane is bounded by the curves y = 9 - x 2 , y = 0 and x = 0. Set up two integrals (method of washers and method of shells) for the volume of the solid obtained by rotating R around the line x = 10. Do not compute the value of the integrals(10 points) (5) Sketch the curve given by the equation r = 2+cos( θ ) in polar coordinates, labeling the x and y intercepts, and compute the area it encloses. (8 points) 1

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.

{[ snackBarMessage ]}

### Page1 / 2

1065 - Math 202 Part I Final Exam Spring,2008 Do all parts...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online