2. What is the equation of the tangent line to the graph of y = t 2 at the point t = 1? 3….

2.          What is the equation of the tangent line to the graph of y = t2  at the   point t = 1?

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3.          Consider the differential equation y' = y. Given the initial condition        t0 = 0, y0 = 1 and step size 0.1, use the formula for Euler’s method to compute by hand t1  and y1.

4.          Repeat the above to compute t2  and y2  as well as t3  and y3.

5.          Sketch what you have done via Euler’s method for the approximate solution so far.