Implicit Differentiation and Related Rates
Related Rates
3.1 The width of a rectangle is 8cm (constant). The length is increasing at the rate of 1.5cm/sec. How fast is the diagonal changing at the instant the length is 15cm.?
3.2 The base of a cylinder is increasing at a different rate than the height. The radius of the base is increasing at the rate of 2cm/sec. The height is increasing at a rate of 3cm/sec. At the instant radius = 10cm and height = 7cm. Find:
a) The rate of change in the area of the base.
= 
b) The rate of change in the volume of the cylinder.
= 
= 
/sec
