English

Using Differentials, Find the Approximate Value of the Following up to 3 Places of Decimal `(0.009)^(1/3)` - Mathematics

Advertisements
Advertisements

Question

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

`(0.009)^(1/3)`

Advertisements

Solution

`(0.009)^(1/3)`

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 1.4 | Page 216

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

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

`(26.57)^(1/3)`


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

`(32.15)^(1/5)`


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


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)`


The normal to the curve x2 = 4y passing (1, 2) is

(A) x + y = 3

(B) x − y = 3

(C) x + = 1

(D) x − = 1


The points on the curve 9y2 = x3, where the normal to the curve makes equal intercepts with the axes are

(A)`(4, +- 8/3)`

(B) `(4,(-8)/3)`

(C)`(4, +- 3/8)`

(D) `(+-4, 3/8)`


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 ?


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 ?


Show that the relative error in computing the volume of a sphere, due to an error in measuring the radius, is approximately equal to three times the relative error in the radius ?


Using differential, find the approximate value of the following: \[\left( 0 . 007 \right)^\frac{1}{3}\]


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 differential, find the approximate value of the \[\frac{1}{\sqrt{25 . 1}}\] ?


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


Using differential, find the approximate value of the \[\cos\left( \frac{11\pi}{36} \right)\] ?


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


If the radius of a sphere is measured as 7 m with an error of 0.02 m, find the approximate error in calculating its volume ?


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


If the relative error in measuring the radius of a circular plane is α, find the relative error in measuring its area ?


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


If loge 4 = 1.3868, then loge 4.01 =


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


Find the approximate values of: `root(3)(28)`


Find the approximate values of : (3.97)4 


Find the approximate values of : cos(60° 30°), given that 1° = 0.0175°, `sqrt(3) = 1.732`


Find the approximate values of : tan (45° 40'), given that 1° = 0.0175°.


Find the approximate values of : tan–1 (1.001)


Find the approximate values of : e0.995, given that e = 2.7183.


Find the approximate values of : 32.01, given that log 3 = 1.0986


Find the approximate values of : loge(9.01), given that log 3 = 1.0986.


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


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 ______.


Find the approximate value of f(3.02), where f(x) = 3x2 + 5x + 3


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×