MATH 154 Final: WA6_Solutions

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13 Feb 2023
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MATH 154 Full Course Notes
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Problem 1: cells are approximately round with a diameters ranging from 1 to > 100 micrometers. The graph below shows the cross section of half a cell with a diameter of 2 m. The curvature of the cell surface determines if and how vesicles can form. Find the curvature of the cell surface y at the red point x = 0. 25 from the equation for a circle: y = p(2 x)x zpt for using and drive curvature = fsxt. (21-14- fut ar-15 dy b x =0. 25 du. # fit. (2-22 eptpropof 12-ze) + (2-2) sus s. Student name: report all answers to 3 signi cant digits. Problem 2: a central tenant of the metabolic theory of ecology is that there is a well characterized exponential relationship between body mass, m and metabolic rate r. The metabolic relationship between for three groups of organisms is shown in a log-log plot below: unicellular (purple), endotherms (red), and ectotherms (blue).

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