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