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Unformatted text preview: . (ii) Find the equation of the tangent plane to the surface deﬁned by the equation z = f (x, y ) at the
point (1, 1, 3). (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 measurement of at most 3cm. Use diﬀerentials to calculate the maximum error in computing the area of the
rectangle. Quiz 2 – MA 225 B3 – Spring 2011 Instructor: Margaret Beck
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 justiﬁed. If the problem asks you to use a speciﬁc 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
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This note was uploaded on 02/13/2014 for the course MA 225 B1 taught by Professor Beck during the Spring '11 term at BU.
- Spring '11