MATH 200 Study Guide - Midterm Guide: Lior, Scilab, Contour Line
The University of British Columbia
MATH 253
Midterm 1
9 October 2013
Time: 50 minutes
LAST NAME: FIRST NAME:
STUDENT # : SIGNATURE:
This Examination paper consists of 8 pages (including this one). Make sure you have all 8.
instructions:
No memory aids allowed. No calculators allowed. No communication devices allowed.
PLEASE CIRCLE YOUR INSTRUCTOR’S NAME BELOW
marking:
Q1 /9
Q2 /9
Q3 /8
Q4 /9
TOTAL / 35
Names of Instructors: Jim Bryan, Dale Peterson, Sabin Cautis, Lior Silberman
MATH 253 Midterm 1 —9 October 2013 — p. 2 of 8
Q1 [9 marks]
Find the partial derivatives ∂z
∂x ,∂z
∂y , and ∂2z
∂x∂y where zis defined (possibly implicitly) as a function
of xand yby the equations below.
(a)z=xcos(xy)
(b)z=x2Ry
0sin8(√t)dt
MATH 253 Midterm 1 —9 October 2013 — p. 3 of 8
(c)z+ez=x2+y2
51
MATH 200 Full Course Notes
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Document Summary
This examination paper consists of 8 pages (including this one). Please circle your instructor"s name below instructions: marking: Names of instructors: jim bryan, dale peterson, sabin cautis, lior silberman. Math 253 midterm 1 9 october 2013 p. 2 of 8. Find the partial derivatives z of x and y by the equations below. X y where z is de ned (possibly implicitly) as a function (a) z = x cos(xy) (b) z = x2 r y. Math 253 midterm 1 9 october 2013 p. 3 of 8 (c) z + ez = x2 + y2. Math 253 midterm 1 9 october 2013 p. 4 of 8. Put the letter of each graph in the box below the corresponding contour plot on the next page. The axes of the below graphs are all oriented in the standard way: the positive x-axis is on the left, the positive y-axis is on the right, and the positive z-axis is upward.
