A 12.06.06

AM I Test 2

Name in BLOCK CAPITAL LETTERS:……………………………………………..

Task. 1 (5p) Determine the derivative of
.

Task. 2 (5p.) Find the limit
.

Task. 3 (5p.) Examine the concavity of
.

Task. 4 (5p.). Determine the 3-rd degree Taylor polynomial and the remainder term of

at point
.

Task. 5 (15p.) Find the following antiderivatives

a)
, b)
, c)

Task. 6 (5p.) Calculate the area of the region bounded by the curves:

and
.

Task. 7 (5p) Find the arc length of the curve

for
.

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