# 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 *= *t*2 at the point *t *= 1?

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

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3. Consider the differential equation *y*' = *y*. Given the initial condition *t*0 = 0, *y*0 = 1 and step size 0.1, use the formula for Euler’s method to compute by hand *t*1 and *y*1.

4. Repeat the above to compute *t*2 and *y*2 as well as *t*3 and *y*3.

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