2005 TEST2 B


B 13.06.05

AM I Test 2

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

Task 1 (5p) Find the derivative of 0x01 graphic
.

Task. 2 (5p.) Find the limit 0x01 graphic
.

Task 3 (5p.) Find the inflection points of 0x01 graphic
.

Task 4 (5p.). Use the Taylor polynomial of the 2-nd degree about the point 0x01 graphic
for 0x01 graphic
to calculate the approximate value of 0x01 graphic
.

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

a)0x01 graphic
b) 0x01 graphic
, c) 0x01 graphic

Task.6 (5p.) Calculate the area of the region bounded by the curve 0x01 graphic
and the axis OX.

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

a circular cone with a base of radius R and height 2R.



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