Question

a) Suppose that we have two functions, f (x) and g (x), and that: f(2)=3, g(2)=7,...

a) Suppose that we have two functions, f (x) and g (x), and that:

f(2)=3, g(2)=7, f′(2)=−4, g′(2)=6
Calculate the values of the following derivative when x is equal to 2: d ?x2 f (x)?|x=2

b) A spherical ice ball is melting, and its radius is decreasing at a rate of 0.8 millimeters per minute. At what rate is the volume of the ice cube decreasing when the radius of the sphere is equal to 12 millimeters? Give your answer correct to the two decimal places. Include units in your answer.

Math   Calculus   
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Answer #1

Part a is little unclear, However I am trying my best to explain this for you.

Please let me know if you have any doubt.

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