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Calculus and Beyond Homework Help
Average rate of change of the area of the triangle?
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[QUOTE="alaa amed, post: 5511271, member: 592211"] [h2]Homework Statement [/h2] An object is moving around the unit circle with parametric equations [I]x(t)=cos(t), y(t)=sin(t)[/I], so it's location at time [I]t[/I] is [I]P(t)=(cos(t),sin(t))[/I] . Assume [I]0 < t < [I]π[/I]/2[/I]. At a given time [I]t[/I], the tangent line to the unit circle at the position [I]P(t)[/I] will determine a right triangle in the first quadrant. (Connect the origin with the [I]y[/I]-intercept and [I]x[/I]-intercept of the tangent line.) The average rate of change of the area of the triangle on the time interval [[I]π[/I]/6,[I]π[/I]/4] is [h2]Homework Equations[/h2] a(t) = 1/sin2t [h2]The Attempt at a Solution[/h2] I tried plugging in the [I]π[/I]/6 once and [I]π[/I]/4, added them together and divided by 2, but I got the wrong answer! [/B] [/QUOTE]
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Average rate of change of the area of the triangle?
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