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