Математический анализ: Типовые расчеты по курсу. Исаев Г.П. - 20 стр.

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12.
()
;tsin1ty +=
(
)
tcos1tx
+
= .
13.
()
;tsinty =
(
)
ttg1tx
+
= .
14.
()
;t1ty
2
+=
(
)
tlntx = .
15.
()
;ttt3ty
23
++=
(
)
t1tx
+
= .
16.
()
;tsinty =
(
)
3
t2tx = .
17.
()
;ety
t
=
(
)
t
etx
= .
18.
()
;tlnty =
(
)
t
etx = .
19.
()
;t2ty
3
=
(
)
tsintx = .
20.
()
;ety
t
=
(
)
t
etx = .
21.
()
;t1ty
2
+=
(
)
tsin1tx
+
= .
22.
()
;tsinty
2
=
(
)
tcostx
2
= .
23.
()
;ttgty
2
=
(
)
2
t1tx += .
24.
()
;tcosty =
(
)
tlntx = .
25.
()
;tlnty =
(
)
3
t1tx += .
26.
()
;t3t21ty
2
++=
(
)
tlntx
3
= .
27.
()
;t2sin2ty =
(
)
t2costx = .
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     12. y (t ) = 1 + sin t ;         x (t ) = 1 + cos t .

     13. y (t ) = sin t ;             x (t ) = 1 + tg t .

     14. y (t ) = 1 + t 2 ;           x (t ) = ln t .

     15. y (t ) = 3 t 3 + t 2 + t ;   x (t ) = 1 + t .

     16. y (t ) = sin t ;             x (t ) = 2 t 3 .

     17. y (t ) = e t ;               x (t ) = e − t .

     18. y (t ) = ln t ;              x (t ) = e t .

     19. y (t ) = 2 t 3 ;             x (t ) = sin t .

     20. y (t ) = e − t ;             x (t ) = e t .

     21. y (t ) = 1 + t 2 ;           x (t ) = 1 + sin t .

     22. y (t ) = sin 2 t ;           x (t ) = cos 2 t .

     23. y (t ) = tg 2 t ;            x (t ) = 1 + t 2 .

     24. y (t ) = cos t ;             x (t ) = ln t .

     25. y (t ) = ln t ;              x (t ) = 1 + t 3 .

     26. y (t ) = 1 + 2 t + 3 t 2 ;   x (t ) = ln 3 t .

     27. y (t ) = 2 sin 2 t ;         x (t ) = cos 2 t .


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