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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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- Summer '12
- McCarty
- Calculus