estimate the square root and cube root of the following up to one decimal places 35
Answers
Given : Number 35
To find : estimate the square root and cube root up to one decimal places
Solution:
f(x) = √x
f(35) = √35
f(x + Δx) = √(36 - 1 )
x = 36 Δx = - 1
f'(x) = 1/2√x
f(x + Δx) = f(x) + f'(x) Δx
=> √35 = √36 + (1/2√36)(-1)
=> √35 = 6 - 1/12
=> √35 = 6 - 0.0833
=> √35 = 5.9167
=> √35 = 5.9
f(x) = ∛x
f(35) = ∛35
f(x + Δx) = ∛(27 + 8 )
x = 27 Δx = 8
f'(x) = (1/3 (∛x )²
f(x + Δx) = f(x) + f'(x) Δx
=> ∛35 = ∛27 + (1/3(∛(27)²)(8)
=> ∛35 = 3 + 8/27
=> ∛35 = 3 + 0.296
=> ∛35 =3.296
=> ∛35 = 3.3
Learn More:
the value of( 1.004)1/2 is - Brainly.in
https://brainly.in/question/17334815
Find the approximate value of the expression (1.99)^7 by using ...
brainly.in/question/15853098
Find the approximate value of tan⁻¹(1.001) - Brainly.in
brainly.in/question/6637262
If log4=1.3868 ,then the approximate value of log (4.01) 1. 1.3968 2 ...
brainly.in/question/16250601
Answer:
THIS IS THE EXPLANATION.
