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It's Breakfast Time So what will it be, toast, an English muffin, a doughnut hole, or a doughnut? Naturally, before you can even think about
It's Breakfast Time So what will it be, toast, an English muffin, a doughnut hole, or a doughnut? Naturally, before you can even think about eating, you must first determine some computations that are certain to whet your appetite. It is common practice to spread butter, jam, or peanut butter on one side of toast or on an English muffin half, but a doughnut hole or a doughnut is usually ready to eat without adding anything. Part 1 The type of bread chosen for this special calculus toast isn't the square sandwich shape, but the kind that is curved across the top. Imagine that the toast is composed of the curved part sitting atop the rectangular portion. The equation of the curved part of the toast is x-/4 + 12 = 1, and it sits directly and perfectly on top of a rectangle of height 3 inches. a) What are the equations of the rectangular boundaries of the toast? b) Graph the toast boundaries, making certain to include screen shots of the boundary equations, window settings, scale, and the graph. (High quality sketched graph or online graphing calculator image acceptable.) c) Find the length of the curved part of the toast using Calculus. Show all your steps and explain your work. d) Use a combination of calculus and geometry to find the areas of the curved part and the rectangular part of the toast respectively
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