Find the points of inflection of the graph of the function. (If an answer does not exist, enter DNE.) f(x) = 6 sin x + 6 cos x, [0, 27] (x, y) = ( ) (smaller x-value) (x, y) = ( ) (larger x-value) Describe the concavity. (Enter your answers using interval notation.) concave upward concave downward

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Understanding of inflection point calculations are required to understand this problem.

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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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.