a thin uniform rod of length l cm and a small particle lie on a line separared by a distance of a cm. if K is a positive constant and F is measured in newtons, the gravitational force between them is F=K/(a(a +l)) a) if a is increasing at the rate 2cm/min when a=15 and l=5, how fast is F increasing? b)if l is decreasing at the rate 2cm/min when a =15 and l=5, how fast is F increasing?
You can plug in the numbers and see how fast F is increasing or decreasing because they give you all the numbers. Just make sure for: Part a, that you increase a at the rate of 2. So, a+2, which gives you 15, 15+2, 17+2, 19+2, and so on. Part b, that you decrease a at the rate of 2. So, a-2, which gives you 15, 15-2, 13-2, 11-2, and so on.
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