38. [-/3 Points] DETAILS LARHSCALC2 3.AP.010. MY NOTES Do not use technology. ASK YOUR TEACHER Consider the function f(x) = 2x + cos(2x) on the interval [0, x]. (a) Find the maximum value of f. ( x, f ( x ) ) = (b) Explain how the conditions of the Mean Value Theorem are satisfied by f for 0 S x S n. Of is continuous on (1, ) and differentiable on (0, it). Of is continuous on [1, x] and differentiable on [1, m]. Of is continuous on (0, 7) and differentiable on (0, it). Of is continuous on (0, 7) and differentiable on [0, m]. Of is continuous on [0, x] and differentiable on (0, it). Find the value of x whose existence is guaranteed by the Mean Value Theorem. X = Need Help? Read It36. [3/4 Points] DETAILS PREVIOUS ANSWERS LARHSCALC2 3.AP.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH Consider the function f(x) = x - sin(x) +.1. (a) Approximate the relative extrema of f. (Enter your answers as a comma-separated list. Round your answers to four decimal places.) X = -0.7108, 0.7108 (b) Find the tangent line approximation of fat _ 2 37 x V = 8 8 (c) Use your tangent line approximation to approximate the value of f(1.3). (Round your answer to three decimal places.) 3. 156 X Is your approximation an underestimate or an overestimate of the actual value of f(1.3)? underestimate overestimate Need Help? Read It