handwrit.e and show all work please

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Graph each pair of parametric equations. (2 points each) 1. X = 3 sin 3 t y = 3 cos 3 t -10 102. X = 7 sin t + sin 7t y = 7 cost + cos 7t 10- -10 10 x -10 Non-calculator (except where indicated). Be sure to show the work and provide explanations to support your answers! 1. Evaluate each limit: 3x lim x-5 x2 + 1 x - 1 lim x-1 x2 + 2x - 3 2. Use a calculator to complete the table of data values; then use the table of values to determine the limit: x3 - 2x2 + 4x - 8 lim x -2 x2 + x - 6 Explain. X 1.9 1.99 1.999 2 2.001 2.01 2.1 Yx3125 3. Identify any removable and any non-removable discontinuities of the function f(x) = m, explaining how you determine these algebraically and what they look like on the graph ofx). dx+1if x3 Determine the one-sided limits as x approaches 3, and determine the limit as x approaches 3. 5. Evaluate lim f(x+Ax)-f(x) for the function f(x) = 2x -5. Show the work and simplification! Ax-0 Ax 6. Find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2: x +1 if x