Application of Derivatives
Consider f(x)=tan−1(1−sinx1+sinx),x∈(0,2π)˙A normal to y=f(x)at x=6πalso passes through the point:
Find the rate of change of the area of a circle with respect to its radius r when(a) r=3cm (b) r=4cm
Show that the altitude of a right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3..
The total revenue in Rupees received from the sale of x units of a product is given by R(x)=3x2+36x+5. The marginal revenue, when x=15is (A) 116 (B) 96 (C) 90 (D) 126
If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximate error in calculating its volume.