## Answers

11) flogy) = 2012 40ytt ye OF 48-49 By -4x+41443) =-40+y3 Now af ax af dy 45-45=0, -48493=0. 4X=44 y3 = 45€.

- x=y la Substitute ② in 6. x² 48 ²-406=0 ) x (SC? 4) =0 =) X=0, J2-4=0 => x²=4 = x=12. when x=2, 9=2 - X=-2, y=-2 J= 0, y=0 |:.(0,0) (3,2), (-2,-2) are the critical points. 22F 40=1, azf 2 y² 3y²=n, 8?f. By? body=-4=m In-m² = (42) (392)-(-4)² = 12 y ²-16 CS Scanned with CamScanner

At 10,0) In.m² = 12 (0)²-16 = 0-16=-1620 The point (0,0) is a saddle Point.

At (22) In-m²= 12/2)²-16=12 (4)-16 = 48-16 = 3230 d=430 :. There is a relative minimum at (2, 2) At (-2,-2) dn-m²= 12(-23²_16= 12/4)-16 =48-16 = 3230 I=4so There is a relative minimum at (-2,-2) 12) Given f(x,y)=²442 Plogy) = -30Cty -30=0 -1 By Jagrangean function F(x, y) = f(x,y) + 2 Ø (x,y) F = x² 9²+ d (-3x+y=30) CS Scanned with CamScanner

DF - 2x+ d(-3) ax a F -2y+d() ay • Now a 70 OF ay 2x-32=0, 297d=0 ,darzy 30=2x d = 2 x - d=-24 from @ f 0 x=-24 2x=-69 => y = 2x = -3/ substitute y = -7 in 3x - 2 = 30 -qX-X = 30 => -10x=30 3 -lox=90 =>x=90 -103-9 :.*=-9, y-tu- \ -3 (-9,3) is the point :. At (-9, 3) the function f(x, y) = (-95², 033² 8149=90 is minimum value CS Scanned with CamScanner

.
#### Similar Solved Questions

1 answer

##### Present Value of $1 Periods 1.0% 3.0% 3.75% 4.0% 4.25% 5.0% 6.0% 7.0% 0.99010 0.98030 0.97059...

Present Value of $1 Periods 1.0% 3.0% 3.75% 4.0% 4.25% 5.0% 6.0% 7.0% 0.99010 0.98030 0.97059 0.96098 0.95147 0.94205 0.93272 0.92348 0.91434 0.90529 Present Value of $1 Periods 1.0% 2.0% 0.98039 0.96117 0.94232 0.92385 0.90573 0.88797 0.87056 0.85349 0.83676 0.82035 0.97087 0.94260 0.91514 0.88849 ...

1 answer

##### 5. Is there sufficient evidence that weekly quizzes have any effect on the midterm scores for gro...

5. Is there sufficient evidence that weekly quizzes have any effect on the midterm scores for groups with computer tutorials, on average? (Consider only groups required to answer the question; there is no need to factor in the other groups; in other words, ignore the groups not included.) (a) Carry ...

1 answer

##### Partners Conner, Tuitt, and Heyward share profits and losses in a 3:4:5 ratio, respectively. Their average capital...

Partners Conner, Tuitt, and Heyward share profits and losses in a 3:4:5 ratio, respectively. Their average capital balances for the quarter year were $50,000, $70,000, and $80,000, respectively. Conner and Heyward each receive a “salary” of $8,000 each quarter due to their...

1 answer

##### Cost per Equivalent Unit The cost of direct materials transferred into the Filling Department of Eve...

Cost per Equivalent Unit The cost of direct materials transferred into the Filling Department of Eve Cosmetics Company is $289,540. The conversion cost for the period in the Filling Department is $235,840. The total equivalent units for direct materials and conversion are 46,700 ounces and 53,600 ou...

1 answer

##### Bookmarks People window Help GiF X + ..CO Question 6 of 14 Complete and balance the...

Bookmarks People window Help GiF X + ..CO Question 6 of 14 Complete and balance the following redox reaction in basic solution 103 "(aq) + Re(s) - Re0s (aq) + 10"(aq)| 04- 2 0+ 02 03 1 2 3 4 5 6 7 8 9 0 02 03 04 05 06 07 Do + ( -- (s) (1) (g) (aq) Re H30+ H e H2O OH H o - Reset . <H2O Del...

1 answer

##### BACK NEXT Multiple Choice Question 73 Kiner Co. computed an overhead rate for machining costs ($460000)...

BACK NEXT Multiple Choice Question 73 Kiner Co. computed an overhead rate for machining costs ($460000) of $5 per machine hour. Machining costs are driven by machine hours. If computed based on direct labor hours, the overhead rate for machining costs would be $10 per direct labor hour. The company ...

1 answer

##### Problem #4 Draw the substitution product from each of the following reactions. 1. BH2-THF HgSO4 =CH...

Problem #4 Draw the substitution product from each of the following reactions. 1. BH2-THF HgSO4 =CH 2. H2O2, NaOH H2SO4 H2O...

1 answer

##### 5) The probability that Sam parks in a no-parking zone and gets a parking ticket is...

5) The probability that Sam parks in a no-parking zone and gets a parking ticket is 0.12, and the probability that Sam cannot find a legal parking space and has to park in the no-parking zone is 0.17. On Tuesday, Sam arrives at school and has to park in a no- parking zone. Find the probability that ...

1 answer

##### 4 4pts. Match the following phrases with either OPERONS or FEEDBACK INHIBITION. Do this by writing...

4 4pts. Match the following phrases with either OPERONS or FEEDBACK INHIBITION. Do this by writing two lists, one with OPERONS at the top and the other with FEEDBACK INHIBITION. • Regulation at the protein level • Conserves energy, nucleotides, amino acids • Regulation at the DNA or g...

1 answer

##### Applying the Central Limit Theorem: The amount of contaminants that are allowed in food products is...

Applying the Central Limit Theorem: The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. Suppose you work for the FDA and are told that the current amount...

1 answer

##### Charge q1 = 7.5 nC is located at the coordinate system origin, while q2 = 4.08nC...

Charge q1 = 7.5 nC is located at the coordinate system origin, while q2 = 4.08nC is located at ( a, 0), where a = 0.65m. The point P has coordinates (a , b) where b = 0.75m A third charge q3 = 17.5 nC will be placed later. a)Find the electrical potential Vp at point P in volts. Assume the potential ...

1 answer

##### What is the difference between factual report and descriptive text?

What is the difference between factual report and descriptive text?...

1 answer

##### The Outdoor Dining Company specializes in producing a set of wood patio furniture consisting of a...

The Outdoor Dining Company specializes in producing a set of wood patio furniture consisting of a table and four chairs. The set enjoys great popularity, and the company has ample orders to keep production going at its full capacity of 3,900 sets per year. Annual cost data at full capacity follow: ...

1 answer

##### Automobile air bags inflate following a serious impact. the impact triggers the following chemical reaction: 2NaN3(s)->2Na(s)+3N2(g)....

Automobile air bags inflate following a serious impact. the impact triggers the following chemical reaction: 2NaN3(s)->2Na(s)+3N2(g). If an automobile airbag has the volume of 11.7 L, what mass of NaN3(in g) is required to fully inflate the air bag upon impact? Assume STP conditons....

1 answer

##### Solve the following initial value problem using the method of Laplace transform. y" + 2y' +10y...

Solve the following initial value problem using the method of Laplace transform. y" + 2y' +10y = f(t); y(0)= 1, y'(0) = 0, where, f(0) = 10, Ost<10, 20, 10<t....