Consider the following. Function Trigonometric Equation f(x) = 6 sin x + 3 cos 2x 6 cos x - 12 sin x cos x = 0 (a) Use a graphing utility to graph the function and approximate the maximum and minimum points on the graph in the interval [0, 2x). (Round your answers to one decimal place. Enter each relative maximum and minimum.) f(x) = (smallest value) f(x) = f(x) = f(x) = (largest value) (b) Solve the trigonometric equation and note that its solutions are the x-coordinates of the maximum and minimum points of f. (Calculus is required to find the trigonometric equation. Round your answers to four decimal places.) (smallest value) X= X= (largest value)

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.