Ap calculus question

266 CHAPTER 3 Applications of Differentiation 45. If a resistor of R ohms is connected across a battery of E volts of the window so that the greatest possible amount of light is with internal resistance r ohms, then the power (in watts) in the admitted. external resistor is E2 R 35. The top and bottom margins of a poster are each 6 cm and the P = side margins are each 4 cm. If the area of printed material on ( R + r ) 2 the poster is fixed at 384 cm , find the dimensions of the poster with the smallest area. If E and r are fixed but R varies, what is the maximum value of 36. A poster is to have an area of 180 in with 1-inch margins at the the power? bottom and sides and a 2-inch margin at the top. What dimen- 46. For a fish swimming at a speed v relative to the water, the sions will give the largest printed area? energy expenditure per unit time is proportional to v3. It is believed that migrating fish try to minimize the total energy 37. A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral required to swim a fixed distance. If the fish are swimming triangle. How should the wire be cut so that the total area against a current u (u