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Econguy

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a. Express the area A of the triangle as a function of x in radians.

b. Suppose that x is increasing at the rate of 10 degrees per minute. How fast is A changing at the instant x = pi/3? At what value of x will the triangle have a maximum area?

I've set the triangle and drew a line to cut it in half. the angle is now x/2, and the base is b/2. The hypoteneuse of each triangle is 10.

cos x/2 = adj/hyp = h/10

sin x/2 = opp/hyp = b/2/10 = b/20

A = 100sinx/2 cosx/2

= 100 sinx/2

would that be the equation for part a?

any help for part b would be greatly appreciated.

thanks