Problema Solution
for their college architecture class, bob and dylan will build an arch represented by the equation h=-w^2+12w , were h is the height in feet and w is the width in feet. what will be the maximum height of the arch?
Answer provided by our tutors
h = -w^2 +12w
dh/dw = -2w +12
put dh/dw = 0 , gives w = 6
max. height h = -(6)^2 +12*6 = -36+72 = 36 feet