मराठी

Using Differentials, Find the Approximate Value of the Following up to 3 Places of Decimal `(81.5)^(1/4)` - Mathematics

Advertisements
Advertisements

प्रश्न

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

`(81.5)^(1/4)`

Advertisements

उत्तर

`(81.5)^(1/4)`

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 1.13 | पृष्ठ २१६

व्हिडिओ 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

`(26)^(1/3)`


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

`(3.968)^(3/2)`


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.


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


Using differential, find the approximate value of the loge 4.04, it being given that log104 = 0.6021 and log10e = 0.4343 ?


Using differential, find the approximate value of the \[\sin\left( \frac{22}{14} \right)\] ?


Using differential, find the approximate value of the \[\cos\left( \frac{11\pi}{36} \right)\] ?


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  \[\sqrt{37}\] ?


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


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


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 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% ?


If the percentage error in the radius of a sphere is α, 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


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 =


Find the approximate values of : cos(60° 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(0.999)


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


Find the approximate values of : loge(101), given that loge10 = 2.3026.


Find the approximate values of : loge(9.01), given that log 3 = 1.0986.


The approximate value of tan (44°30'), given that 1° = 0.0175c, is ______.


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


Using differentials, find the approximate value of `sqrt(0.082)`


Find the approximate value of (1.999)5.


If y = x4 – 10 and if x changes from 2 to 1.99, what is the change in y ______.


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