PLEASE DO EVERY QUESTION AND SHOW YOUR WORK! TIDY HANDWRITING PLEASE

3. Show that among all rectangles with an 8 meter perimeter, the one with the largest area is a square. Draw a diagram. Define your variables. Express the variable that needs optimizing. Find the maximum location. Verify that your critical point is the absolute maximum. Clearly state your answer. Be sure to answer the questionls) asked. 1 of 2 Online-Lecture Worksheet L'Hopital's Rule (4.4) and Optimization (4.7) NAME Table Evaluate the limits below. If you use L'Hopital's Rule, show the indeterminate form that results from direct substitution. Make sure you note each application of the rule. 2x2+ 3x 1. lim x-0x3+x+1 Cos (5x) - 2. lim