Advertisements
Advertisements
प्रश्न
Find the approximate value of f (2.01), where f (x) = 4x2 + 5x + 2
उत्तर
Let x = 2 and Δx = 0.01. Then, we have:
f(2.01) = f(x + Δx) = 4(x + Δx)2 + 5(x + Δx) + 2
Now, Δy = f(x + Δx) − f(x)
∴ f(x + Δx) = f(x) + Δy
APPEARS IN
संबंधित प्रश्न
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
`(0.009)^(1/3)`
Using differentials, find the approximate value of the following up to 3 places of decimal
`(26)^(1/3)`
Find the approximate value of log10 (1016), given that log10e = 0⋅4343.
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 pressure p and the volume v of a gas are connected by the relation pv1.4 = const. Find the percentage error in p corresponding to a decrease of 1/2% in v .
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 ?
1 Using differential, find the approximate value of the following:
\[\sqrt{25 . 02}\]
Using differential, find the approximate value of the following: \[\left( 0 . 009 \right)^\frac{1}{3}\]
Using differential, find the approximate value of the log10 10.1, it being given that log10e = 0.4343 ?
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 \[\left( 82 \right)^\frac{1}{4}\] ?
Using differential, find the approximate value of the \[\left( 33 \right)^\frac{1}{5}\] ?
Using differential, find the approximate value of the \[\sqrt{49 . 5}\] ?
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% ?
For the function y = x2, if x = 10 and ∆x = 0.1. Find ∆ y ?
If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is
Find the approximate value of f(3.02), up to 2 places of decimal, where f(x) = 3x2 + 5x + 3.
Find the approximate values of : `sqrt(8.95)`
Find the approximate values of : `root(3)(28)`
Find the approximate values of : `root(5)(31.98)`
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 (1.001)
Find the approximate values of : loge(9.01), given that log 3 = 1.0986.
Find the approximate value of the function f(x) = `sqrt(x^2 + 3x)` at x = 1.02.
Find the approximate volume of metal in a hollow spherical shell whose internal and external radii are 3 cm and 3.0005 cm respectively
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]
