If y = x4 β 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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Last updated at Dec. 4, 2021 by Teachoo
Question 11 If y = x4 β 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, βπ = π_πβπ_π = 1.99 β 2 β π₯ = β 0.01 Finding π π/π π π¦=π₯^4β10 ππ¦/ππ₯ = 4π^π Putting π±=π, as value of π₯ changes from 2 ππ¦/ππ₯= 4(2)^3 ππ¦/ππ₯=ππ Now, βπ = π π/π π βπ Putting values of βπ₯ = 0.01 and ππ¦/ππ₯ = 32 βπ¦ = 32 (β0.01) βπ = 0.32 β΄ Approximate change in π¦ is 0.32 So, the correct answer is (A)