Y=X^2(2-5X),(0
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Y=X^2(2-5X),(0
y' = 2x(2-5x) -5x^2
= 4x - 15x^2 = 0
x1=0,x2= 4/15
y'' = 4-30x = 0
x3 = 2/15
y1= 0,y2= 16/225 *2/3 = 32/675
y3= (2/15)^2 (2-5*2/15) = 4/225 * 4/3 = 16/675
ymax = 32/675
= 4x - 15x^2 = 0
x1=0,x2= 4/15
y'' = 4-30x = 0
x3 = 2/15
y1= 0,y2= 16/225 *2/3 = 32/675
y3= (2/15)^2 (2-5*2/15) = 4/225 * 4/3 = 16/675
ymax = 32/675
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