Let h (x) = cos (πx). find all extreme values (if any) of h on the given interval. determine at which numbers in the interval (1/3, 2/3] these values occur. if there is no maximum value (minimum value) on the interval, enter dne in the corresponding blanks.

Question

Melanie

Mathematics

2 November, 07:54

Let h (x) = cos (πx). find all extreme values (if any) of h on the given interval. determine at which numbers in the interval (1/3, 2/3] these values occur. if there is no maximum value (minimum value) on the interval, enter dne in the corresponding blanks.

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Answers (1)

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Alivia Bartlett · Answer 1

The limit of h (x) as x approaches 1/3 is 1/2. This is the maximum value on the interval.

The value of h (x) at x=2/3 is - 1/2. This is the minimum value on the interval.