English

Using Differentials, Find the Approximate Value of the Following up to 3 Places of Decimal `Sqrt(25.3)` - Mathematics

Advertisements
Advertisements

Question

Using differentials, find the approximate value of the following up to 3 places of decimal

`sqrt(25.3)`

Advertisements

Solution

`sqrt(25.3)`

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Application of Derivatives - Exercise 6.4 [Page 216]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 6 Application of Derivatives
Exercise 6.4 | Q 1.1 | Page 216

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

Using differentials, find the approximate value of the following up to 3 places of decimal

`(0.999)^(1/10)`


Using differentials, find the approximate value of the following up to 3 places of decimal

`(255)^(1/4)`


Using differentials, find the approximate value of the following up to 3 places of decimal

`(82)^(1/4)`


Using differentials, find the approximate value of the following up to 3 places of decimal

`(81.5)^(1/4)`


Find the approximate change in the volume V of a cube of side x metres caused by increasing side by 1%.


The approximate change in the volume of a cube of side x metres caused by increasing the side by 3% is

A. 0.06 x3 m3 

B. 0.6 x3 m3

C. 0.09 x3 m3

D. 0.9 x3 m3


Find the approximate value of log10 (1016), given that log10e = 0⋅4343.


If y = sin x and x changes from π/2 to 22/14, what is the approximate change in y ?


The radius of a sphere shrinks from 10 to 9.8 cm. Find approximately the decrease in its volume ?


The pressure p and the volume v of a gas are connected by the relation pv1.4 = const. Find the percentage error in p corresponding to a decrease of 1/2% in v .


Using differential, find the approximate value of the following:  \[\left( 0 . 009 \right)^\frac{1}{3}\]


Using differential, find the approximate value of the \[\left( 255 \right)^\frac{1}{4}\] ?


Using differential, find the approximate value of the \[\left( 80 \right)^\frac{1}{4}\] ?


Using differential, find the approximate value of the \[\left( 29 \right)^\frac{1}{3}\] ?


Using differential, find the approximate value of the \[\left( 66 \right)^\frac{1}{3}\] ?


Using differential, find the approximate value of the  \[\sqrt{37}\] ?


Using differential, find the approximate value of the \[\left( \frac{17}{81} \right)^\frac{1}{4}\] ?


Using differential, find the approximate value of the \[\left( 3 . 968 \right)^\frac{3}{2}\] ?


For the function y = x2, if x = 10 and ∆x = 0.1. Find ∆ y ?


If y = loge x, then find ∆y when x = 3 and ∆x = 0.03 ?


While measuring the side of an equilateral triangle an error of k % is made, the percentage error in its area is


If loge 4 = 1.3868, then loge 4.01 =


A sphere of radius 100 mm shrinks to radius 98 mm, then the approximate decrease in its volume is


The pressure P and volume V of a gas are connected by the relation PV1/4 = constant. The percentage increase in the pressure corresponding to a deminition of 1/2 % in the volume is

 


If y = xn  then the ratio of relative errors in y and x is


For the function y = x2, if x = 10 and ∆x = 0.1. Find ∆y.


Find the approximate values of : `sqrt(8.95)`


Find the approximate values of : (3.97)4 


Find the approximate values of (4.01)3 


Find the approximate values of sin (29° 30'), given that 1° = 0.0175°, `sqrt(3) = 1.732`.


Solve the following : Find the approximate value of cos–1 (0.51), given π = 3.1416, `(2)/sqrt(3)` = 1.1547.


The approximate value of the function f(x) = x3 − 3x + 5 at x = 1.99 is ____________.


Using differentials, find the approximate value of `sqrt(0.082)`


Find the approximate value of (1.999)5.


If y = x4 – 10 and if x changes from 2 to 1.99, what is the change in y ______.


If `(x) = 3x^2 + 15x + 5`, then the approximate value of `f(3.02)` is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×