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(01.08 HC) The amount of income tax, t, an individual owes is defined by piecewise function t(i) and is based on the individual's income, where

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(01.08 HC) The amount of income tax, t, an individual owes is defined by piecewise function t(i) and is based on the individual's income, where i is taxable income in dollars. 0.12/ if 0 Sis 15,000 to= 655+ 0.13(i -14000) if 15,000 37,000 Part A: Show that the function t(i) is not continuous at i = 15,000. (10 points) Part B: Find the value of constant b that makes t(i) continuous at i = 37,000. (20 points)

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