मराठी

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Application of Derivatives - Exercise 6.4 [पृष्ठ २१६]

APPEARS IN

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

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Find the approximate value of ` sqrt8.95 `


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

`(26)^(1/3)`


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

`(32.15)^(1/5)`


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 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)`


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 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 ?


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 \[\left( 15 \right)^\frac{1}{4}\] ?


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


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 \[\left( 80 \right)^\frac{1}{4}\] ?


Using differential, find the approximate value of the \[\sqrt{26}\] ?


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


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


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


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


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


If loge 4 = 1.3868, then loge 4.01 =


The pressure P and volume V of a gas are connected by the relation PV1/4 = constant. The percentage increase in the pressure corresponding to a deminition of 1/2 % in the volume is

 


Find the approximate value of f(3.02), up to 2 places of decimal, where f(x) = 3x2 + 5x + 3.


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


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


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


Find the approximate values of : (3.97)4 


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 values of : e0.995, given that e = 2.7183.


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


If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximating error in calculating its volume.


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


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


Find the approximate value of sin (30° 30′). Give that 1° = 0.0175c and cos 30° = 0.866


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×