Solutions THQ7 - MATH-1326-THQJ 2016-02w29 11:39 f‘a z...

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Unformatted text preview: MATH-1326-THQJ, 2016-02w29 11:39 f‘a. . z i '1 g MHWFL L» XXXOOOO Net ID (Printed First Name) (Printed Last Name) ( . Section ) (First Letter of Last Name) (001 T 503) |Take Home Quiz 7| Penalty Instructions 1. Fill in the requested information on the line above. 2. This handout is due at the beginning of lecture on Tuesday (03—08—2016). One point penalty per minute late. Submit right away7 don’t wait for the end of class! THQ with missing name will receive 10 points penalty. 3. This handout must be printed out and. You may print it single sided or double sided. Failing to print costs 10 points. 4. This handout must be stapled. Failing to staple costs 10 points. 5. Your work must be hand written on this handout. 6. You must show all work. You may receive zero or reduced points for insufficient work. 7. Your work must be neatly organized and written. You may receive zero or reduced points for sloppy work. 8. Only a subset of these questions will be graded. You will not be told which questions will be graded in ad— vance. Due Date: Tuesday, 03—08—2016 Page 2 0f 7 MATH—1326-THQJ, 2016-02-29 11:39 Problem 1 Find all first and second order partial derivatives for the following function. (i'e- Find fm(may)a fit/(may): fwm<$ayla fyy(m7y)a fym<$>yl and (a) z = f(a:,y) Z $3312 +w2 +y4 + 4215+“) Page 3 Of 7 MATH-1326-THQJ, 2016-02-29 11:39 Problem 2 (a) Find the total difl‘erentlal 0f z=f(w,y) =f($7y)= vw2+y2 and compute it’s value when (m,y) : (3, ~41) and (dandy) = (002,001) (b) Find the total dzflerential 0f x+3y f(33ay)=m and compute it’s value when (my) = (1,2) and (daydy) = (—0.02,0.01). (c) Find the Fatal dlfferential of flow) = 1115293 +y+2§ and compute it’s value when (36,31) = (0,0) and (dis, dy) = (0.3, —0.2). i Dawn 9 Page 4 of 7 MATH-1326-THQJ, 2016-02-29 11:39 Problem 3 (a) Using the total difierentials, approximate (12-001? + (4.998)? ( b ) Using the total difi'e'r‘entz'als, appmmimate 3 (1.001)2 + (1.01)3 + 6 Dnmn A Page 5 Of 7 MATH—1326-THQJ, 2016-02-29 11:39 Problem 4 Find all critical points for following functions. Classify each critical point as a relative minimum, relative maximum or saddle points. (a) f(cc,y) = 4333; — 4332 — 103/2 — 8m - 8y a 10 Page 6 of 7 MATH-1326-THQJ, 2016-02-29 11:39 Problem 5 Find all critical points for the function f(:v,y) 2x3—27w—y3—l—6y24—7 Classify each critical point as a relative minimum, relative maximum or saddle points. ‘DnmA Q Page 7 of 7 MATH-1326-THQJ, 2016-02-29 11:39 Problem 6 Find all critical points for the function 2’ 16 f(m,y)=rv+;°+y+3+5 Classify each critical point as a relative minimum, relative maximum or saddle points. Dnrvn ’7 ...
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