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Problem 3. (2 points total) Consider f(x) = ex - x. (a) (1 point) Find the equation of the tangent line to the graph of

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Problem 3. (2 points total) Consider f(x) = ex - x. (a) (1 point) Find the equation of the tangent line to the graph of y = f(x) at the point (4, e4 - 4) You do NOT need to write the tangent line in the form y = mx +6, and you do NOT need to simplify or approximate any constants appearing in the tangent line equation. (b) (1 point) Find the equation of the normal line to the graph of y = f(x) at the point (4, e4 - 4). You do NOT need to write the normal line in the form y = mx +b, and you do NOT need to simplify or approximate any constants appearing in the normal line equation. IMPORTANT NOTE: For Problems 3a and 3b, you are allowed and en- couraged to compute the derivative f'(x) (if you need it) using derivative rules. You do NOT need to compute f'(x) from the limit definition. (a)

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