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A length of sheet metal 27 inches wide is to be made into a water trough by bending up two sides as shown in

  

A length of sheet metal 27 inches wide is to be made into a water trough by bending up two sides as shown in the accompanying figure. Find x and o so that the trapezoid- shaped cross section has a maximum area. A 27 - 2x Figure Ex-48 O Write the for mula for A-Acx. 4) Hint: uce A= (B,+B,) h Compute Ax & Af. O Verity that Ax =D lends (3) 27 = 2- Cos 8 2 X 4 A=-**) O Venity Agzo yrelds 27 - (t cand O Venity d=3 e x=9 5)

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