Consider graph fx x2 5 A find an equation of the secant lin

Consider graph f(x) = -x^2 +5
A) find an equation of the secant line joining points (-1,4) and (2,1)
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 secant line
C) find an equation of the tangent line through c

(Please include step by step calculation for part A, part B, and part C)

Solution

a)y-1=-1(x-2) b)c=2
Consider graph f(x) = -x^2 +5 A) find an equation of the secant line joining points (-1,4) and (2,1) B) use the mean value theorem to determine a point c in the

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