English

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

Advertisements
Advertisements

Question

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

`(32.15)^(1/5)`

Advertisements

Solution

`(32.15)^(1/5)`

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Application of Derivatives - Exercise 6.4 [Page 216]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 6 Application of Derivatives
Exercise 6.4 | Q 1.15 | Page 216

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

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

`sqrt(49.5)`


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

`(82)^(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 (2.01), where f (x) = 4x2 + 5x + 2


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


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 ?


Using differential, find the approximate value of the following:  \[\left( 0 . 009 \right)^\frac{1}{3}\]


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


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 \[\cos\left( \frac{11\pi}{36} \right)\] ?


Using differential, find the approximate value of the \[\left( 29 \right)^\frac{1}{3}\] ?


Using differential, find the approximate value of the  \[\sqrt{0 . 48}\] ?


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


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


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


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


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


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


The height of a cylinder is equal to the radius. If an error of α % is made in the height, 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


If y = xn  then the ratio of relative errors in y and x 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 : cos(60° 30°), given that 1° = 0.0175°, `sqrt(3) = 1.732`


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


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


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×