Cylindrical Container - Calculus - Solved Exam, Exams of Calculus

This is the Solved Exam of Calculus which includes Find, Differentiable, Function, Limit Definition, Derivative, Limits, Evaluate, Calculus, Respect, Elliptic Track etc. Key important points are: Cylindrical Container, Coordinates, Local Extrema, Classify, Local Maximum, Local Minimum, Global Extrema, Inflection Points, Previous, Domain

Typology: Exams

2012/2013

Uploaded on 03/06/2013

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MATH 105 Final Exam Review II 1. Consider the function f(x) = 2° — 2z* on the interval [-2, 2]. (a) Find the x- and y-coordinates of any and all local extrema and classify each as a local maximum or local minimum. £O)= 6x le WS A | Fed g-cudinales 4(1) > P20 2]. s zsra Se © = &x COL, ae. tt Se, (1,-") ts 4 local min. = Kao, Kal s are critical > x= | local min pts. K=O netthy (b) Find the 2- and y-coordinates of any and all global extrema and classify each as a global maximum or global minimum. {(-2) = 60 Se, [G2,60) is the glckel max £00) =I and |C1,-9 15 the global mm . y £(2) = 48 (c) Find the 2-coordinate(s} of any and all inflection points. {"Qgh= Box*- (2K Cone on. Cone 3 ad Mp UE 4 = 4. 0 > 6x(SxP-2) | “Be 6 Pe ng = xo, x= JE ! ° Se, ml. ye. are ak [x-0, xR]. 2. How would your answers to the previous question have changed if the domain of f were all reals? Ana AU Answevs World be the same except thet thre lool d Vou be [ho gees! Max |) There are { Ao ene points so ££ leclkes like tle gregh shown.