e106k - Exam I and Key MAC 2312 Feb 6, 2006 S Hudson Show...

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

View Full Document Right Arrow Icon
Exam I and Key Feb 6, 2006 MAC 2312 S Hudson Show all your work. Use the space provided, or leave a note. Don’t use a calculator or your own extra paper. Problems 3-8 are worth 10 points each. 1) [5 points each] Short calculations. Simplify any easy terms like sin( π ) and e 0 . 20 k =2 1 k - 1 k - 1 = 20 k =0 2 k = (Hint: S - rS = a - ar n +1 ). d dx [ R x 1 ln( t ) dt ] d dx [ R x 2 1 ln( t ) dt ] 2) [5pts each] Compute the integrals: R π/ 6 0 tan(2 θ ) . R π/ 4 0 sec 2 ( θ ) . R 2 t dt R π 0 sin 2 3 x dx 3) Find the volume of the solid that is obtained when the region under the curve y = x over the interval [1,4] is revolved around the x -axis. 4) Find all values of x * in [-3,1] that satisfy the Mean-Value Theorem for f ( x ) = | x | . 5) Use left-hand endpoints, with n=3, to approximate the area under f ( x ) = 1 /x on [1 , 4]. 6) Find the area between the parabolas, y = 2 x - x 2 and y = 2 x 2 - 4 x . 7) Find the displacement and the distance travelled, given
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/26/2011 for the course MAC 2312 taught by Professor Storfer during the Summer '08 term at FIU.

Page1 / 2

e106k - Exam I and Key MAC 2312 Feb 6, 2006 S Hudson Show...

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

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