3. Complete all parts. Let f(x) = I 2+1 on the interval [0, 2). = x...

 

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3. Complete all parts. Let f(x) = I 2+1 on the interval [0, 2). = x 2+1 (a) Explain why the function f(x) on interval [0,2] satisfies the Mean Value Theorem. (b) find all numbers c that satisfy the conclusion of the Mean Value Theorem for the given f(r) and interval. (e) Find the equation of the secant line to f(z) on the given interval and the equation of the tangent line to f(x) when r = c (with c as in part (b)). Leave all line equations in slope intercept form. 3. Complete all parts. Let f(x) = I 2+1 on the interval [0, 2). = x 2+1 (a) Explain why the function f(x) on interval [0,2] satisfies the Mean Value Theorem. (b) find all numbers c that satisfy the conclusion of the Mean Value Theorem for the given f(r) and interval. (e) Find the equation of the secant line to f(z) on the given interval and the equation of the tangent line to f(x) when r = c (with c as in part (b)). Leave all line equations in slope intercept form.