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5. (15 points) Let f be a function with f(1) = 4 such that for all points (133;) on d 3 2 1 the graph

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5. (15 points) Let f be a function with f(1) = 4 such that for all points (133;) on d 3 2 1 the graph of f , the slope is given by dy = $2+ . 33 y (a) (4 points) Write an equation for the line tangent to the graph of f at :1? = 1 and use it to approximate f (1.2). (b) (5 points) Use Euler's method with a step size of 0.1 to approximate f(1.2). (c) (5 points) Find f(.'17) by solving the initial value problem. ((1) (1 point) Use your solution from (c) to nd f (1.2)

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