MathematicsMedium175×since 2002Q2669The curve y(x)=ax3+bx2+cx+5y(x)=a x^{3}+b x^{2}+c x+5y(x)=ax3+bx2+cx+5 touches the xxx-axis at the point P(−2,0)\mathrm{P}(-2,0)P(−2,0) and cuts the yyy-axis at the point QQQ, where y′y^{\prime}y′ is equal to 3 . Then the local maximum value of y(x)y(x)y(x) is:A274\frac{27}{4}427B294\frac{29}{4}429C374\frac{37}{4}437D92\frac{9}{2}29Check answerSkip