For what values of x is the rate of increase of x3−5x2+5x+8 is twice rate of increase of x ?
Options:
A .  
−3,−13
B .  
−3,13
C .  
3,−13
D .  
3,13
Answer: Option D : D
Let y=x3−5x2+5x+8. Then, dydx=(3x2−10x+5)dxdtWhendydt=2dxdt,wehave(3x2−10x+5)dxdt=2dxdt⇒3x2−10x+3=0⇒(3x−1)(x−3)=0⇒x=3,13. Hence (d) is the correct answer.
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