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Two Sides of a Triangle Are 2 m2 \mathrm {~m} And 3 m3 \mathrm {~m}

Question 92

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Two sides of a triangle are 2 m2 \mathrm {~m} and 3 m3 \mathrm {~m} in length and the angle between them is increasing at a rate of 0.06rad/s0.06 \mathrm { rad } / \mathrm { s } . Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is π3\frac { \pi } { 3 } .

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