हिंदी

Using Differentials, Find the Approximate Value of the Following up to 3 Places of Decimal `(26)^(1/3)` - Mathematics

Advertisements
Advertisements

प्रश्न

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

`(26)^(1/3)`

उत्तर

`(26)^(1/3)`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Application of Derivatives - Exercise 6.4 [पृष्ठ २१६]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
अध्याय 6 Application of Derivatives
Exercise 6.4 | Q 1.7 | पृष्ठ २१६

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Find the approximate value of cos (60° 30').

(Given: 1° = 0.0175c, sin 60° = 0.8660)


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)`


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

`(26.57)^(1/3)`


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


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


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)`


Show that the function given by `f(x) = (log x)/x` has maximum at x = e.


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


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 loge 4.04, it being given that log104 = 0.6021 and 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 \[\left( 80 \right)^\frac{1}{4}\] ?


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


Find the approximate value of f (2.01), where f (x) = 4x2 + 5x + 2 ?


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


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


A piece of ice is in the form of a cube melts so that the percentage error in the edge of cube is a, then find the percentage error in its volume ?


If there is an error of 2% in measuring the length of a simple pendulum, then percentage error in its period is


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


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


Find the approximate values of : (3.97)4 


Find the approximate values of : sin (29° 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 : e2.1, given that e2 = 7.389


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


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


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×