हिंदी

Using Differentials, Find the Approximate Value of the Following up to 3 Places of Decimal `Sqrt(25.3)` - Mathematics

Advertisements
Advertisements

प्रश्न

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

`sqrt(25.3)`

Advertisements

उत्तर

`sqrt(25.3)`

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 Part 1 and 2 [English] Class 12
अध्याय 6 Application of Derivatives
Exercise 6.4 | Q 1.1 | पृष्ठ २१६

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

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

`(15)^(1/4)`


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

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

 


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


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 ?


If there is an error of 0.1% in the measurement of the radius of a sphere, find approximately the percentage error in the calculation of the volume of the sphere ?


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:  \[\left( 0 . 009 \right)^\frac{1}{3}\]


Using differential, find the approximate value of the \[\left( 15 \right)^\frac{1}{4}\] ?


Using differential, find the approximate value of the loge 10.02, it being given that loge10 = 2.3026 ?


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


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


Using differential, find the approximate value of the \[\left( 3 . 968 \right)^\frac{3}{2}\] ?


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% ?


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


If y = loge x, then find ∆y when x = 3 and ∆x = 0.03 ?


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


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


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

 


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


Find the approximate values of : `sqrt(8.95)`


Find the approximate values of : `root(5)(31.98)`


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 : 32.01, given that log 3 = 1.0986


Solve the following : Find the approximate value of cos–1 (0.51), given π = 3.1416, `(2)/sqrt(3)` = 1.1547.


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


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×