A 13.06.05

AM I Test 2

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

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

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

Task.3 (5p.) Find the extrema of
.

Task. 4 (5p.). Use the Taylor polynomial of the 2-nd degree about the point
for
to calculate the approximate value of
.

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

a)
, b)
, c)

Task. 6 (5p.) Calculate the area of the region bounded by the curve
and the axis OX.

Task. 7 (5p) Use the formula for the volume of a solid of revolution to calculate the volume of a ball of radius R

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