मराठी

Using Differentials, Find the Approximate Value of the Following up to 3 Places of Decimal `(0.0037)^(1/2)` - Mathematics

Advertisements
Advertisements

प्रश्न

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

`(0.0037)^(1/2)`

उत्तर

`(0.0037)^(1/2)`

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

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
पाठ 6 Application of Derivatives
Exercise 6.4 | Q 1.11 | 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

`sqrt(0.6)`


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

`(26.57)^(1/3)`


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

`(3.968)^(3/2)`


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.

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

 


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

`(33)^(1/5)`


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


If y = sin x and x changes from π/2 to 22/14, what is the approximate change in y ?


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 ?


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 ?


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 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 \[\sin\left( \frac{22}{14} \right)\] ?


Using differential, find the approximate value of the \[\left( 80 \right)^\frac{1}{4}\] ?


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


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


Using differential, find the approximate value of the \[\sqrt{49 . 5}\] ?


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


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 ?


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


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


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 ?


A sphere of radius 100 mm shrinks to radius 98 mm, then the approximate decrease in its volume is


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


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


Find the approximate values of : (3.97)4 


Find the approximate values of : sin 61° , given that 1° = 0.0174c, `sqrt(3) = 1.732`


Find the approximate values of : tan–1 (1.001)


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×