There is an ant on a circular heated plate. The plate temperature is given by f(x,y)...

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There is an ant on a circular heated plate. The plate temperature is given by f(x,y) = y - x + 12 degrees Fahrenheit, with x and y in meters from the center of the plate. The ant walks along the edge of the plate, which has a radius of 7 meters and has it's center at the origin. Given the ant prefers warmer spots to colder spots, what is the warmest the ant can get? Submit Answer Tries 0/99 Alice will use all of the last 24 hours before her exam to study two different ways. Without any preparation she would earn 300 points out of 1000 points on the exam. It is estimated that her exam score will improve by (58) points if she reads her lecture notes for hours and y(61 - y) points if she solves review problems for y hours, but due to fatigue she will lose (x + y)2 points. What is the maximum exam score she can obtain? Round your answer to 2 decimal places. Submit Answer Tries 0/99 A rectangular building with a square front is to be constructed of materials that costs 11 dollars per ft for the flat roof, 14 dollars per ft for the sides and the back, and 11 dollars per ft for the glass front. We will ignore the bottom of the building. If the volume of the building is 5,600 ft, what dimensions will minimize the cost of materials? (Round your answers to the nearest hundreth, and enter the dimensions in order from the smallest to the largest.) ft by Submit Answer Tries 0/99 ft by ft A rectangular box with a square base is to be constructed from material that costs $8 per ft for the bottom, $9 per ft for the top, and $4 per ft for the sides. Find the box of greatest volume that can be constructed for $176. Round your answer to 2 decimals. ft Submit Answer Tries 0/99 There is an ant on a circular heated plate. The plate temperature is given by f(x,y) = y - x + 12 degrees Fahrenheit, with x and y in meters from the center of the plate. The ant walks along the edge of the plate, which has a radius of 7 meters and has it's center at the origin. Given the ant prefers warmer spots to colder spots, what is the warmest the ant can get? Submit Answer Tries 0/99 Alice will use all of the last 24 hours before her exam to study two different ways. Without any preparation she would earn 300 points out of 1000 points on the exam. It is estimated that her exam score will improve by (58) points if she reads her lecture notes for hours and y(61 - y) points if she solves review problems for y hours, but due to fatigue she will lose (x + y)2 points. What is the maximum exam score she can obtain? Round your answer to 2 decimal places. Submit Answer Tries 0/99 A rectangular building with a square front is to be constructed of materials that costs 11 dollars per ft for the flat roof, 14 dollars per ft for the sides and the back, and 11 dollars per ft for the glass front. We will ignore the bottom of the building. If the volume of the building is 5,600 ft, what dimensions will minimize the cost of materials? (Round your answers to the nearest hundreth, and enter the dimensions in order from the smallest to the largest.) ft by Submit Answer Tries 0/99 ft by ft A rectangular box with a square base is to be constructed from material that costs $8 per ft for the bottom, $9 per ft for the top, and $4 per ft for the sides. Find the box of greatest volume that can be constructed for $176. Round your answer to 2 decimals. ft Submit Answer Tries 0/99