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(b) Use the Mean Value Theorem to determine a point c in the interval (-1, 2) such that the tangent line at c is parallel

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(b) Use the Mean Value Theorem to determine a point c in the interval (-1, 2) such that the tangent line at c is parallel to the secant line. (c) Find the equation of the tangent line through c. (d) Use a graphing utility to graph f, the secant line, and the tangent line. -2 -2 -21 O O2 2 -2 -2 2 -4 -2 -2 -2 O -1 -2 -2 Need Help?9. [-/4 Points] DETAILS LARCALCET7 4.2.041. Consider the graph of the function f(x) = -x" + 7 (see figure). (-1, 6) 6 (2. 3) 2 2 -2 (a) Find the equation of the secant line joining the points (-1, 6) and (2, 3). (b) Use the Mean Value Theorem to determine a point c in the interval (-1, 2) such that the tangent line at c is parallel to the secant line. C= (c) Find the equation of the tangent line through c. (d) Use a graphing utility to graph f, the secant line, and the tangent line

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