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The altitude of a triangle is increasing at a rate of 1 cm?min while the area of the triangle is increasing at a rate of 2 cm^2/Min. At what rate is the base of the triangle changing when the altitude is 10 Cm and the area is 100cm^2?
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I know my given rates are dx/dt = 1cm^2/Min, dA/dt =2 cm^2/min. I need to find dy/dt when dx/dt x=10cm and dA/dt when x 100 cm^2 equation that relates all I have a=1/2 ah. andthe picture I drew |dw:1320169771221:dw| from the equation I solved for y and took its derivative A=1/2 xy <=> y = 2A/x <=> dy/dt = 2dA/dt / dx/dt and that's as far as I have gotten. If I replace the values for x=10 and A=100 I do not get the correct answer. Where I am doing wrong?
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