Compute how fast is the area increasing

Reference no: EM131010251

The area of a triangle with sides of lengths a and b and contained angle θ is A= ½ ab sin θ.

(a) If a=2 cm, b=3 cm, and θ increases at a rate of 0.2 rad/min, how fast is the area increasing when θ = π/3?

(b) If a=2cm, b increases at a rate of 1.5 cm/min, and θ increases at a rate of 0.2 rad/min, how fast is the area increasing when b= 3 cm and θ = π/3?

(c) If a increases at a rate of 2.5 cm/min, b increases at a rate of 1.5 cm/min, and θ increases at a rate of 0.2 rad/min, how fast is the area increasing when a=2 cm, b=3 cm, and θ = π/3?

Reference no: EM131010251

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