Q1 of 168 Page 242

Using differentials, find the approximate value of each of the following:

Let us consider y = and x=32 and


Then,


=



Therefore,


Now, dy is approximately equal to Δy and is equal to




Therefore, the approximate value of is


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The maximum value of is

 1

Using differentials, find the approximate value of each of the following:

2

Show that the function given by has maximum at x = e.

 3

The two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3 cm per second. How fast is the area decreasing when the two equal sides are equal to the base?