Question 173552
 my problem states that the shape of a supporting arch can be modeled by 
H(x) = -0.03x^2 + 3x 
where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base of the arch in meters. Find the maximum height of the arch. 
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I don't know what level of math you're in, but max and min problems use the 1st derivative of the function.
h(x) = -0.03x^2 + 3x 
Set the 1st derivative to zero.
0 = -0.06x + 3
0.06x = 3
x = 50 meters
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h(50) = -0.03*2500 + 150
= -75 + 150
h = 75 meters