B 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.) Task.3 (5p.) Find largest and the smallest values of

, for
.

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

at
.

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 volume of the solid of revolution obtained by rotating the curve

,
.

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