11. [-/3 Points] DETAILS SCALCET8 4.7.049. MY NOTES A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach point B, 4 km downstream on the opposite bank, as quickly as possible (see the figure below). He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between C and B and then run to B. If he can row 6 km/h and run 8 km/h, where should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared to the speed at which the man rows.) (Hint: This question is based on EXAMPLE 4 in Section 4.7 of the textbook. However, for this question, the textbook has added a challenge which may require an unexpected solution. Look for it!) km from C5. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCETS 4.7.021. Find the point on the line y = 5x + 3 that is closest to the origin. 7. [313 Points] DETAILS PREVIOUS ANSWERS SCALCETS 4.7.026. 2 Find the area of the largest rectangle that can be inscribed in the ellipse 2 + 4;? = l. a Zab 8. [0/3 Points] PREVIOUS ANSWERS SCALCETS 4.7.501 .XP. Find the area of the largest rectangle that can be inscribed in a right triangle with legs of lengths 3 cm and 4 cm if two sides of the rectangle lie along the legs. -x ml 9. [1/2 Points] DETAILS PREVIOUS ANSWERS SCALCETS 4.7.037. A piece of wire 27 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? 27 m \\J/ (b) How much wire should be used for the square in order to minimize the total area? m