IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. No figure, no credit. 1. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches wide by...

Extracted text: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. No figure, no credit. 1. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches wide by turning up one-third of the width on each side. What width across the top will give the greatest cross-sectional area? 2. Find the dimensions of the right circular cone of greatest lateral area that can be inscribed in a sphere of radius 25 centimeters.