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17

Step-by-step Answer
PAGE: 213SET: ExercisesPROBLEM: 17
Please look in your text book for this problem Statement

The equation is .

.

The range of the cosine function is .

.

Then

Therefore the equation is continuous on .

The function is , .

Differentiate on each side with respect to .

The derivative of the function is always positive.

Hence the function is an increasing function.

Any increasing function crosses the axis only for one value of .

Therefore the function has exactly one root in the interval .

The equation has exactly one root.



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