हिंदी

Find the Approximate Value of F (5.001), Where F (X) = X3 − 7x2 + 15. - Mathematics

Advertisements
Advertisements

प्रश्न

Find the approximate value of f (5.001), where f (x) = x3 − 7x2 + 15.

Advertisements

उत्तर

Let x = 5 and Δx = 0.001. Then, we have:

Hence, the approximate value of f (5.001) is −34.995.

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 Part 1 and 2 [English] Class 12
अध्याय 6 Application of Derivatives
Exercise 6.4 | Q 3 | पृष्ठ २१६

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

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

`(0.009)^(1/3)`


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

`(26.57)^(1/3)`


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

`(3.968)^(3/2)`


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


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

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

 


Show that the function given by `f(x) = (log x)/x` has maximum at x = e.


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


Using differential, find the approximate value of the following: \[\left( 0 . 007 \right)^\frac{1}{3}\]


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


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


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 \[\frac{1}{\sqrt{25 . 1}}\] ?


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


Using differential, find the approximate value of the \[\left( 82 \right)^\frac{1}{4}\] ?


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


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


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% ?


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 ?


A piece of ice is in the form of a cube melts so that the percentage error in the edge of cube is a, then find the percentage error in its volume ?


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

 


If y = xn  then the ratio of relative errors in y and x is


Find the approximate values of : (3.97)4 


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


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


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


Find the approximate values of : f(x) = x3 – 3x + 5 at x = 1.99.


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.


Using differentiation, approximate value of f(x) = x2 - 2x + 1 at x = 2.99 is ______.


The approximate value of f(x) = x3 + 5x2 – 7x + 9 at x = 1.1 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×