# The area A of a triangle is given

The area A of a triangle is given by bab sin 0, where a and b are the lengths of two sides and O is the angle between these sides. Suppose that a = 5, b = 10 and 0 = . (a) Find the rate at which A changes with respect to a if b and 0 are held constant. (b) Find the rate at which A changes with respect to 0 if a and b are held constant. (c) Find the rate at which b changes with respect to a if A and O are held constant.

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