हिंदी

Using Differentials, Find the Approximate Value of Each of the Following. `(17/81)^(1/4)` - Mathematics

Advertisements
Advertisements

प्रश्न

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

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

 

उत्तर

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Application of Derivatives - Exercise 6.6 [पृष्ठ २४२]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
अध्याय 6 Application of Derivatives
Exercise 6.6 | Q 1.1 | पृष्ठ २४२

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

`sqrt(0.6)`


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

`(0.0037)^(1/2)`


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

`(81.5)^(1/4)`


Find the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1%


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


The normal at the point (1, 1) on the curve 2y + x2 = 3 is

(A) x + y = 0

(B) x − = 0

(C) x + y + 1 = 0

(D) − y = 1


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


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 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 \[\sqrt{26}\] ?


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


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


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


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


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


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 approximate value of (33)1/5 is


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


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


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


Find the approximate values of : e2.1, given that e2 = 7.389


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 ______.


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


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


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


The approximate value of f(x) = x3 + 5x2 – 7x + 9 at x = 1.1 is ______.


Find the approximate value of tan−1 (1.002).
[Given: π = 3.1416]


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×