Variables $$\(x\)$$ and $$\(y\)$$ are related by the equation $$\(y=x \sqrt{1+2 x}\)$$. It is given that when $$\(y=12, x=4\)$$. Find the approximate change in $$\(x\)$$ when $$\(y\)$$ increases from 12 by the small amount 0.06 .

Additional Mathematics
IGCSE&ALevel
CAIE
Exam No:0606_w24_qp_22 Year:2024 Question No:2(b)

Answer:



Knowledge points:

14.7 Apply differentiation to connected rates of change, small increments and approximations.

Solution:

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