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: - u(x) v(x) xÎ[a;b],

48. , . AB, A B . , , . 1. ACB , R , O . ³ OB OC . α. ACB = Rα, α , . α , : ACB = R * pi * α/180. 1. AB AB. AB α OA OB. AOB , OA = OB = R. 2. OE AOB . , AOE = AOB / 2 = α / 2, AE = BE = AB / 2. AEO. OE , ( AOE ). AO , AE . , R = OA = (AB / 2) / sin (α / 2). , ACB = (AB / 2) / sin (α / 2) * pi * α/180

 

51. - , . , , , - , - . .

, , , , , . , .

. . , , , 0. , ,

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51. D - .
f, ( ;...; ) D , , D = f ( ;...; ).
( ;...; ), = f ( ;...; ) , D (f).
= f (), , .
.
z = f (; ) , (; ; z) z = f (; ).
(; ) ³ . = 2, (; ), ( ; ),
(; ) = .
-
(; ) = .
D = f ().
= f () , > 0 > 0, D, 0 < (; ) < ,
.
, f () g () ,
1. = ,
2. = ,
3. = .
4. .
, , , .
= f () ,
= F ( ).
= f () D, D.
, , . , , . . , z = (0; 0), z =

52. , ( ) , . .

f x : fx ∂f/∂x. d, . .

, . U R n f: UR. f a = (a 1,..., an) ∈ U i - xi

f /∂ xi (a) a , ' . a , f . , f C1. (f: URm), .

U . ( ), , f ( ) C2; :

 

54. ' () , ( ). , , ( : , ' ). ³ , , ', . , . , ' , :

1. ( ) ' ?

2. ' , ?

3. '?

4. ' , , ( - ) ? г





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