(1 point) Find the indicated limit. Begin by deciding why l'Hopital's rule is not applicable. Then find the limit by other means. ' :32 sin % lungs>0 = tan a: Hint: |sinm| S 1. (1 point) Find the limit. Use I'Hospital's Rule if appropriate. Use INF to represent positive infinity, NINF for negative infinity, and D for the limit does not exist. lim 6x [In(x + 2) - In(x)] =(1 point) For what values of a, and b is the following equation true? ' 2 lim (M+a+%) =0 :13>0 $3 33 (1 point) Find the point (a), y) of 11:2 + 14:13:; + 49y2 = 100 that is closest to the origin and lies in the first quadrant. (1 point) Find the maximal area of a right triangle with hypotenuse of length 8. (1 point)A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 36 feet? (1 point) A rectangle is inscribed with its base on the m-axis and its upper corners on the parabola y = 9 m2. What are the dimensions of such a rectangle with the greatest possible area? Width = Height = (1 point) Find two numbers differing by 32 whose product is as small as possible. Enter your two numbers as a comma separated list, egg. 2, 3. The two numbers are