Q1 of 292 Page 469

Using differentials, find the approximate values of:

find the approximate values of.


Let y =√x.


Let x =36 and Δx = 1.


As y = √x.


⇒


We, know


⇒


∴


⇒


⇒


∴ Δy = 0.08


Also,


Δy = f(x+Δx)-f(x)


∴


⇒ 0.08 = √37 – 6


⇒ √37 = 6.08


More from this chapter

All 292 →
20

An edge of a variable cube is increasing at the rate of 5 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

 21

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. Find the rate at which the area is increasing when the side is 10 cm.

 2

Using differentials, find the approximate values of:

Find the approximate values of .


 3

Using differentials, find the approximate values of:

Find the approximate values of