Math  /  Calculus

QuestionLet ff be the function given by f(x)=x+tan(x5)10f(x)=x+\tan \left(\frac{x}{5}\right)-10. The Intermediate Value Theorem applied to ff on the closed interval [12,15][12,15] guarantees a solution in [12,15][12,15] to which of the following equations? (A) f(x)=10f(x)=-10 (B) f(x)=0f(x)=0 (C) f(x)=4f(x)=4 D. f(x)=14f(x)=14

Studdy Solution
The Intermediate Value Theorem guarantees a solution to f(x)=4f(x) = 4 in the interval [12,15][12, 15], so the answer is (C).

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