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If one side of a rectangle increases ar a rate of 2 m/s and the other side decreases at a rate of 3 m/s, find the rate of change of the area when the first side is 4 m and the second side is 5 m.
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Now you're doing calculus?
Oh, nevermind, lol. You were always doing calculus
A = xy A_t' = (dx/dt)y + x(dy/dt)
area : oneside * otherside darea = dx*y + dy*x darea = 2*4 + 3*5 = 23
A_t' = (2)4 + 3(5) A_t' = 8 + 15 = 23m^2
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23m/s^2
Only thing cool sector....you're taking the derivative with respect to time
so 23 is the answer? thats all there is to it?
i was trying to make it way more complicated.
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