English

Using Differentials, Find the Approximate Value of the Following up to 3 Places of Decimal `(3.968)^(3/2)` - Mathematics

Advertisements
Advertisements

Question

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

`(3.968)^(3/2)`

Solution

`(3.968)^(3/2)`

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 [English] Class 12
Chapter 6 Application of Derivatives
Exercise 6.4 | Q 1.14 | 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

`(15)^(1/4)`


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

`(82)^(1/4)`


If the radius of a sphere is measured as 9 m with an error of 0.03 m, then find the approximate error in calculating in surface area


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

`(17/81)^(1/4)`

 


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

`(33)^(1/5)`


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 ?


A circular metal plate expends under heating so that its radius increases by k%. Find the approximate increase in the area of the plate, if the radius of the plate before heating is 10 cm.


Find the percentage error in calculating the surface area of a cubical box if an error of 1% is made in measuring the lengths of edges of the cube ?


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 \[\left( 15 \right)^\frac{1}{4}\] ?


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


Using differential, find the approximate value of the  log10 10.1, it being given that log10e = 0.4343 ?


Using differentials, find the approximate values of the cos 61°, it being given that sin60° = 0.86603 and 1° = 0.01745 radian ?


Using differential, find the approximate value of the \[\sin\left( \frac{22}{14} \right)\] ?


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


Using differential, find the approximate value of the  \[\sqrt{0 . 48}\] ?


Using differential, find the approximate value of the \[\left( 82 \right)^\frac{1}{4}\] ?


Using differential, find the approximate value of the \[{25}^\frac{1}{3}\] ?


Find the approximate value of log10 1005, given that log10 e = 0.4343 ?


If the radius of a sphere is measured as 9 cm with an error of 0.03 m, find the approximate error in calculating its surface area ?


If the percentage error in the radius of a sphere is α, find the percentage error in its volume ?


If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is


If an error of k% is made in measuring the radius of a sphere, then percentage error in its volume is


The height of a cylinder is equal to the radius. If an error of α % is made in the height, then percentage error in its volume is


If the ratio of base radius and height of a cone is 1 : 2 and percentage error in radius is λ %, then the error in its volume is


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


The circumference of a circle is measured as 28 cm with an error of 0.01 cm. The percentage error in the area is

 


Find the approximate value of f(3.02), up to 2 places of decimal, where f(x) = 3x2 + 5x + 3.


Find the approximate values of : (3.97)4 


Find the approximate values of : sin 61° , given that 1° = 0.0174c, `sqrt(3) = 1.732`


Find the approximate values of : loge(101), given that loge10 = 2.3026.


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


Using differentiation, approximate value of f(x) = x2 - 2x + 1 at x = 2.99 is ______.


Find the approximate volume of metal in a hollow spherical shell whose internal and external radii are 3 cm and 3.0005 cm respectively


The approximate change in volume of a cube of side `x` meters coverd by increasing the side by 3% is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×