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. piecewise function t of i equals one-tenth times i if i is greater than or equal to 0 and less than or equal to 12 thousand, 755 plus 12 hundredths times quantity i minus 11000 if i is greater than 12000 but less than or equal to 32000 and 4500 plus b times quantity i minus 35000 if i is greater than 32000 part a: show that the function t(i) is not continuous at i = 12,000. (10 points) part b: find the value of constant b that makes t(i) continuous at i = 32,000. (20 points)