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- solve using L'Hopital's Rule 1. lim [ 1/(sin^2 x) ] - [ sinx/x^2 ] x->0A rectangle is to be inscribed under the arch of the curve y = 4 cos (0.5x) from x = -π to x = π. What are the dimensions of the rectangle with largest area, and what is the largest area?SHOW A C.OMPLETE AND DETAILED SOLUTION; IF AN INTEGRATION FORM.ULA IS USED FROM A TABLE OF INTEGRATION FORMULAS, SHOW DERIVATION FIRST.