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UFCalcSet31

# UFCalcSet31 - Exercises UF Calculus Set 31 1 The graph of a...

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Exercises UF Calculus Set 31 1. The graph of a function f ( x ) is given below. Estimate the area under the curve on the interval using rectangles as directed. Assume each rectangle height is a multiple of 0.5. (a) On the interval [ 0 , 12 ] using 4 subintervals of equal width and right endpoints as sam- ple points. (b) On the interval [ 0 , 12 ] using 12 subintervals of equal width and right endpoints as sam- ple points. (c) On the interval [ 0 , 12 ] using 6 subintervals of equal width and midpoints as sample points. (d) This curve was drawn so that it seems to form the hypotenuse of three right triangles. Estimate the area this way; which approximation seems to be best of parts (a)-(c) ? 2. An overhead image of a shoreline is given below. Each square of the grid represents a plot that is 1000 feet by 1000 feet. Use rectangles to estimate the area of the region formed by the body of water (shaded in blue) as directed. (a) ...using 12 subintervals of equal width and left endpoints as sample points.

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UFCalcSet31 - Exercises UF Calculus Set 31 1 The graph of a...

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