Check sibling questions

If y = x4 – 10 and if x changes from 2 to 1.99, what is the change in y

(A)0.32 Β  (B) 0.032 Β  (C) 5.68 Β  (D) 5.968

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Transcript

Question 11 If y = x4 – 10 and if x changes from 2 to 1.99, what is the change in y 0.32 (B) 0.032 (C) 5.68 (D) 5.968 Since, π‘₯ changes from 2 to 1.99 So, βˆ†π’™ = 𝒙_πŸβˆ’π’™_𝟏 = 1.99 βˆ’ 2 βˆ† π‘₯ = βˆ’ 0.01 Finding π’…π’š/𝒅𝒙 𝑦=π‘₯^4βˆ’10 𝑑𝑦/𝑑π‘₯ = 4𝒙^πŸ‘ Putting 𝐱=𝟐, as value of π‘₯ changes from 2 𝑑𝑦/𝑑π‘₯= 4(2)^3 𝑑𝑦/𝑑π‘₯=πŸ‘πŸ Now, βˆ†π’š = π’…π’š/𝒅𝒙 βˆ†π’™ Putting values of βˆ†π‘₯ = 0.01 and 𝑑𝑦/𝑑π‘₯ = 32 βˆ†π‘¦ = 32 (βˆ’0.01) βˆ†π’š = 0.32 ∴ Approximate change in 𝑦 is 0.32 So, the correct answer is (A)

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.