Question 1 (i) - Find approximate value of √25.3 (Using differentials)
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Question 1 (i) - Find approximate value of √25.3 (Using differentials)
Ex 6.4, 1 Using differentials, find the approximate value of each of the following up to 3 places of decimal. (i) √25.3Let y = √𝒙Thus, √(𝟐𝟓.𝟑) = y ∆𝒚 Here, ∆𝒚 = 𝒅𝒚/𝒅𝒙 x where x = 25 & x = 0.3Since y = √𝑥 𝒅𝒚/𝒅𝒙 = (𝑑(√𝑥))/𝑑𝑥 = 𝟏/(𝟐√𝒙)Now, ∆𝒚 = 𝒅𝒚/𝒅𝒙 ...
Dec 16, 2024
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