हिंदी

Find the Approximate Change in the Surface Area of a Cube of Side X Metres Caused by Decreasing the Side by 1% - Mathematics

Advertisements
Advertisements

प्रश्न

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

उत्तर

The surface area of a cube (S) of side x is given by S = 6x2.

Hence, the approximate change in the surface area of the cube is 0.12x2 m2.

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 5 | पृष्ठ २१६

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

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

`(0.999)^(1/10)`


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

`(15)^(1/4)`


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

`(32.15)^(1/5)`


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


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

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

 


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


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 loge 4.04, it being given that log104 = 0.6021 and log10e = 0.4343 ?


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


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


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


Using differential, find the approximate value of the  \[\sqrt{37}\] ?


Using differential, find the approximate value of the \[\left( 33 \right)^\frac{1}{5}\] ?


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


Using differential, find the approximate value of the \[\left( 1 . 999 \right)^5\] ?


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


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 ?


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


If the ratio of base radius and height of a cone is 1 : 2 and percentage error in radius is λ %, then the error in its volume is


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

 


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


Find the approximate values of (4.01)3 


Find the approximate values of : sin (29° 30'), given that 1°= 0.0175°, `sqrt(3) = 1.732`


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


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


Find the approximate values of : e2.1, given that e2 = 7.389


Find the approximate values of : 32.01, given that log 3 = 1.0986


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


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


Find the approximate value of (1.999)5.


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×