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What is the equation of the tangent line to the graph

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

2. 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.

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

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

Reference no: EM13895651

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