Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations)
Shaalaa.com | Maxima Minima Part 8 (Examples)
Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is `cos^(-1)(1/sqrt3)`
If the sum of the lengths of the hypotenuse and a side of a right triangle is given, show that the area of the triangle is maximum, when the angle between them is 60º.
The number of road accidents in the city due to rash driving, over a period of 3 years, is given in the following table:
Calculate four quarterly moving averages and illustrate them and original figures on one graph using the same axes for both.