Литвин І.І., Конопчук О.М., Желізняк Г.О. Вища математика
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5.
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9 S.
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5. G. &" / 6&!*/
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V(3) = –33
2
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6. 5! ' ! '! (.
:
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2
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2. C( ( ( ! ! ( (:
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cc
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2
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2
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2
31
2
811
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r
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').
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4. (< ( ( :
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5. <–2 x>1, –2<x<1 .
6. C( ( ! (. .)
. .
=–2, &
. .
= &(–2) = 16–28–124+52+2 = –36;
. .
=1, &
. .
= &(1) = 1+2–12–5+2 = –12.
.
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x
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x
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1
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lim lim lim 1;
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1
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2. 5 ! < ! (?
3. 5 ! < ! (?
4. ! ( ( .
5. 5 ! < ! ( (?
6. &9 ().
7. 5( ( ( (' .
8. H) ( .
9. H) '(
.
10. H) ( .
11. R ! ?
12. R 9 '9 ! (?
13. H) () .
14. R ! ?
15. C ( : ) & = (2–x
2
)
4
; ') & = lnsin
2
x; ) f(x) = cos
3
(cos
3
x).
16. C( ( ( : )
tS
; ') & = lnsinx; ) y = cos
2
x.
17. H( (! ( y = tg2x ! (.
18. / ! (! ( & =
2
& =
3
.
19. A <
53
6
1
23
ttS
(S – , t –
(). C( 9( !, ()<
).
20. C( y = 2x
3
– 6x
2
– 18x + 7.