## Answers

ny 9. f(my)atyre - 04(a, y) = qe - Cateyenlering 34 932 2y Ans: Ⓡaw Sajt zyn offset=2+4* 10.

F (any) a nyt if(wy) = (0) = (406.2017 (3) Mao largest value of directional derivative at (1,2). is : ipfera) 1:2 2 + gr = 186 . Ans:

= 2x+ 9+ 1; ll. . f (ajo) a mnt y't my te pas 24+2 : Do 5) 24+ y =-) s = 0 ) 247850 ) yalg , 42-73 No i fes , y)=2, 247-48,4)=2.

, mam het in '5) all Now, 27) -433'5) - CM."}} = 2x2-1 =3.30 Since get a 1-2, 3) = 2.70 ..(-2%, 1/2 is a minimum point. Ami B). 12. flary) = .799722-24 2022,34224-2 | at -0 = 2x +250 g -i of 20 24-250 = 9! Now 22 septembrist, being a 2 Nowy got (-0,12.947 (-1,0) - test thing Calvi) = 4-2=271 IN . har (11) Eliot (1,1) is a minimum point.

. Minimum value is f(-1., 1) =(-1) 1+ 2(-1)-2 (1) Er

my = 2 13. minimize flory)= aht nga Subject to Lagrange an is given by. Lay; 1): x7y' + (my-2). | 3 - 0 = 2 .

.
+ A 1 : p = (-) ay:0 24 + ax c0-123 a to :-) ay=2 => x=% from () & (29 . tay=0 and 29+ 27% 20 or utayao and Yrtico 4-=0) A = 4 5) 272 L Am Ô

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