PracticeExam2 - Math 105 Final 1a. Determine whether the...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: Math 105 Final 1a. Determine whether the following improper integral is convergent or divergent. If it is conver- gent, compute the integral. Z 5 1 25- x 2 dx. 1b. Let F ( x ) = R cos( x ) sin( x ) e- t 2 dt . Compute F ( x ) 1c. Numerical integration Use the Midpoint Rule with n = 3 to approximate the following integral: Z 2 . 5 1 ( x- 1) 2 dx 1d. Determine whether or not the following limit exists: lim ( x,y ) (5 , 5) x 2 + y 2- 2 yx x- y 1e. Consider the quadric surface defined by the equation z = 4 x 2- 9 y 2 . Draw level curves corresponding to the values z = 0 , 1 , 2. Identify the quadric surface (i.e. is it a paraboloid, hyperboloid, or ellipsoid?) 2. Consider the following Demand and Supply curves: D ( q ) = 6- q S ( q ) = q 2 . Find the equilibrium point ( p e , q e ), and compute the Consumers and Producers surplus. 1 3. A company estimates that the income produced at time t by its factory will equal 1000- 50 t ....
View Full Document

This note was uploaded on 01/14/2012 for the course MATH 105 taught by Professor Malabikapramanik during the Fall '10 term at The University of British Columbia.

Page1 / 3

PracticeExam2 - Math 105 Final 1a. Determine whether the...

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

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