A strip of sheet metal 30 cm wide is to be made into a trough by turning strips up vertically along two sides. How many centimeters should be turned up at east side to obtain the greatest carrying capacity?
1 Answer
Mar 14, 2016
Explanation:
Let the 'turn up' be
Then twice the cross sectional area in
#2t*(30-2t) = 60t-4t^2 = 15^2-(4t^2-60t+15^2) = 225-(2t-15)^2#
Now
This minimum value of
Here's a graph of
graph{(225-(2x-15)^2)/20 [-14.83, 25.17, -5.92, 14.08]}