1.
Find the equation of the tangent and normal to the curve y= 1 + sin 2x at the point x=
.
2.
The volume of a cone V
is given by the formula V=
, where k is constant, r is the radius of the cone and
is a semi vertical angle. Given that r is fixed and
is increasing at a rate of 0.2 radian per second, calculate the rate of change of volume with respect to time when
=
.
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i think i know how to do, but the problem is
my answer is not the same as the book's answer. Can someone please tell me where i went wrong ??
1.
When x=
,
When x=
, y=
equation of tangent :
the book's answer is
so my answer is different from the book's answer in terms of the positive sign and negative sign .....
gradient of normal=
equation of normal:
the book's answer is