determining and classifying all the critical points, Mathematics

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how do you determine and classify all the critical points of a function

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the circumference of a circle C of radius r is given by C=2pR.taking p to be 22/7 a)find the circumference when the radius is 28 cm b)find the radius when the circumference is 484

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If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =

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A solution to a differential equation at an interval α Illustration 1:   Show that y(x) = x -3/2 is a solution to 4x 2 y′′ + 12xy′ + 3 y = 0 for x > 0. Solution : We'll

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Determine the inverse transform of each of the subsequent. (a)    F(s) = (6/s) - (1/(s - 8)) + (4 /(s -3)) (b)   H(s) = (19/(s+2)) - (1/(3s - 5))  + (7/s 2 ) (c)    F(s) =

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