Q.

If the rate of change in  y=x33−2x2+7x−6  is three times the rate of change in x, then x =

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a

3

b

2

c

4

d

1

answer is B.

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Detailed Solution

dydt=3.dxdt         dydt=(x2−4x+7)dxdt         x2−4x+7=3         x2−4x+4=0         (x−2)2=0   ⇒ x=2
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