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Determine whether the Mean Value Theorem can be applied to the function f(x) = 2sin⁡x + sin⁡2x on the closed interval [7π, 8π]. If the Mean Value Theorem can be applied, find all numbers c in the open interval (7π, 8π) such that f′(c) = f(8π)−f(7π) 8π−7π. MVT applies; 11π 3 MVT applies; 15π 2 MVT does not apply MVT applies: 11π 2 MVT applies: 22π 3

Determine whether the Mean Value Theorem can be applied to the function f(x) = 2sin⁡x + sin⁡2x on the closed interval [7π, 8π]. If the Mean Value Theorem can be applied, find all numbers c in the open interval (7π, 8π) such that f′(c) = f(8π)−f(7π) 8π−7π. MVT applies; 11π 3 MVT applies; 15π 2 MVT does not apply MVT applies: 11π 2 MVT applies: 22π 3

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Determine whether the Mean Value Theorem can be applied to the function f ( x ) = 2 sin ⁡ x + sin ⁡ 2 x on the closed interval [ 7 π , 8 π ] . If the Mean Value Theorem can be applied, find all numbers c in the open interval ( 7 π , 8 π ) such that f ′ ( c ) = f ( 8 π ) − f ( 7 π ) 8 π − 7 π . MVT applies; 11 π 3 MVT applies; 15 π 2 MVT does not apply MVT applies: 11 π 2 MVT applies: 22 π 3

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