Use the quadratic formula to find both solutions to the quadratic equation
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We have that The height changing rate when the length of the base is 2 cm
From the question we are told
The diagonal of a rectangle, with base x, remains at a fixed value of 3cm. If the base is increasing at a rate of 8 cm/s. at what rate is the height changing when the length of the base is 2 cm?
Generally the Pythagoras equation for the triangle is mathematically given
as
With r=3
Therefore
dx/dt=8cm/s
Hence
We have
Therefore
The height changing rate when the length of the base is 2 cm
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