हिंदी

Using Differentials, Find the Approximate Value of the Following up to 3 Places of Decimal `(32.15)^(1/5)` - Mathematics

Advertisements
Advertisements

प्रश्न

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

`(32.15)^(1/5)`

उत्तर

`(32.15)^(1/5)`

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 1.15 | पृष्ठ २१६

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

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

`(255)^(1/4)`


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

`(81.5)^(1/4)`


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

`(3.968)^(3/2)`


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 0.02m, 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)`


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 radius of a sphere shrinks from 10 to 9.8 cm. Find approximately the decrease in its volume ?


A circular metal plate expends under heating so that its radius increases by k%. Find the approximate increase in the area of the plate, if the radius of the plate before heating is 10 cm.


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 .


1 Using differential, find the approximate value of the following:

\[\sqrt{25 . 02}\]


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


Using differential, find the approximate value of the \[\left( 255 \right)^\frac{1}{4}\] ?


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


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  log10 10.1, it being given that log10e = 0.4343 ?


Using differential, find the approximate value of the \[\left( 66 \right)^\frac{1}{3}\] ?


Using differential, find the approximate value of the \[\sqrt{36 . 6}\] ?


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


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


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


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


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


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


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


Find the approximate value of the function f(x) = `sqrt(x^2 + 3x)` at x = 1.02.


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


Find the approximate value of (1.999)5.


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 tan−1 (1.002).
[Given: π = 3.1416]


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×