मराठी

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
  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 3 | पृष्ठ २१६

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

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

`(0.0037)^(1/2)`


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

`(81.5)^(1/4)`


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 volume V of a cube of side x metres caused by increasing side by 1%.


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)`

 


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


Find the approximate value of log10 (1016), given that log10e = 0⋅4343.


Find the approximate change in the volume ‘V’ of a cube of side x metres caused by decreasing the side by 1%.


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.


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 \[\frac{1}{(2 . 002 )^2}\] ?


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 \[\left( 66 \right)^\frac{1}{3}\] ?


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 \[\left( 3 . 968 \right)^\frac{3}{2}\] ?


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


Find the approximate value of log10 1005, given that log10 e = 0.4343 ?


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


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 ?


If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is


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

 


Find the approximate values of : (3.97)4 


Find the approximate values of (4.01)3 


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


Find the approximate values of : cos(60° 30°), given that 1° = 0.0175°, `sqrt(3) = 1.732`


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


Find the approximate values of : f(x) = x3 + 5x2 – 7x + 10 at x = 1.12.


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.


The approximate value of the function f(x) = x3 − 3x + 5 at x = 1.99 is ____________.


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×