English

Using Differentials, Find the Approximate Value of the Following up to 3 Places of Decimal `(82)^(1/4)` - Mathematics

Advertisements
Advertisements

Question

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

`(82)^(1/4)`

Advertisements

Solution

`(82)^(1/4)`

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 1.9 | Page 216

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

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

`sqrt(25.3)`


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

`sqrt(49.5)`


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

`sqrt(0.6)`


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

`(0.009)^(1/3)`


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

`(401)^(1/2)`


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

`(3.968)^(3/2)`


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

`(32.15)^(1/5)`


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


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


If f (x) = 3x2 + 15x + 5, then the approximate value of (3.02) is

A. 47.66

B. 57.66

C. 67.66

D. 77.66


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.

`(33)^(1/5)`


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)`


The height of a cone increases by k%, its semi-vertical angle remaining the same. What is the approximate percentage increase (i) in total surface area, and (ii) in the volume, assuming that k is small ?


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


Using differential, find the approximate value of the \[\sqrt{401}\] ?


Using differential, find the approximate value of the \[\frac{1}{(2 . 002 )^2}\] ?


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 \[\left( \frac{17}{81} \right)^\frac{1}{4}\] ?


Using differential, find the approximate value of the \[\left( 1 . 999 \right)^5\] ?


Using differential, find the approximate value of the  \[\sqrt{0 . 082}\] ?


Find the approximate value of f (5.001), where f (x) = x3 − 7x2 + 15 ? 


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 ?


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


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


If an error of k% is made in measuring the radius of a sphere, 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


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


Find the approximate values of : cot–1 (0.999)


The approximate value of tan (44°30'), given that 1° = 0.0175c, is ______.


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