Elementary Analysis

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Isosceles triangles of the same perimeter, 12 in. , are cut out of rubber. Express, plot, and discuss the area as a func- tion of the base. 26. Small cylindrical boxes are made each with a cover whose breadth and height are equal. The cover slips on tight. Each box is to hold ir cu. In. Express, plot, and discuss the amount of material used as a function of the length of the box. 27. A circular filter paper has a diameter of 11 in. It is folded into a conical shape. Express the volume of the co...ne . 100 ELEMENTAKY ANALYSIS as a function of the angle of the sector folded over. Plot and discuss this function. 28. Two sources of heat are at the points A and B. Ee- membering that the intensity of heat at a point varies inversely as the square of the distance from the source, express the in- tensity of heat at any point between A and ^ as a function of its distance from A. Plot and discuss this function. 29. A submarine telegraph cable consists of a central circu- lar part, called the core, surrounded by a ring.

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