quiz2_all

quiz2_all - Quiz 2 MA 225 B2 Spring 2011 Instructor...

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

View Full Document Right Arrow Icon
Quiz 2 – MA 225 B2 – Spring 2011 Instructor: Margaret Beck TF: Man-Ho Ho Date: March 9, 2011 Name: BU ID: Score: 1. (out of 20) 2. (out of 20) 3. (out of 45) 4. (out of 15) Total: (out of 100) Instructions: Please write clearly and show all work. No credit will be given if answers are not justi±ed. If the problem asks you to use a speci±c method in your solution, please make sure you do so. No credit will be given if another method is used. The point value of each problem is written in bold at the beginning of each problem.
Background image of page 1

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

View Full Document Right Arrow Icon
Question 1 [20 points] Determine whether or not the following limit exists. If it exists, what is its value? (Make sure you justify your answer.) lim ( x,y ) (0 , 0) 5 x 3 y x 4 +3 y 4 Question 2. [20 points] Suppose that g ( x, y )= x 2 cos( x + y ) ,x = 3 t ,y = te t . Find dg dt when t =3 .
Background image of page 2
Question 3. [45 points] Consider the function f ( x, y )=2 xy + x 2 . (i) Find the directional derivative of f in the direction of the vector ° 1 , 2 ± . (ii) Find the equation of the tangent plane to the surface de±ned by the equation z = f ( x, y ) at the point (1 , 1 , 3).
Background image of page 3

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

View Full Document Right Arrow Icon
(iii) Find the critical points of f and determine whether they are local maxima, minima, or saddles. Question 4 [15 points] The dimensions of a rectangle are 10cm and 20cm, with an error in measure- ment of at most 3cm. Use di±erentials to calculate the maximum error in computing the area of the rectangle.
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 16

quiz2_all - Quiz 2 MA 225 B2 Spring 2011 Instructor...

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

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