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The degree three Taylor polynomial of a function f about a = - 7 is: T3 ( 20) = 2 + ( 20 + TT)
The degree three Taylor polynomial of a function f about a = - 7 is: T3 ( 20) = 2 + ( 20 + TT) - 3 ( 20 + 71 ) 2 - ( 20 + 71 ) 3 . Which assertion can be deduced from this information? Of' ( -7 ) = 1 Of" ( - 7 ) = - 2 Of (0) = 2+ 7-372+ 73 Of'll ( -7 ) = -18 Of ( T) = 3Use one iteration of Newton's Method with an initial guess of 3:1 : g to approximate the solution to cos(:c) : :L'. The approximation, :32 equals 0 It is not possible to compute 3:2. A cylinder of diameter 12cm and unknown height is filled with water. The cylinder starts leaking, and the height of water in this cylinder decreases by 0.5cm per minute. What is the rate at which the volume of water is leaking from the cylinder, in centimetres cubed per minute, when the level of water is down to 4cm? Hint: The volume, V, of a cylinder of radius r and height h is V : wr2h
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