MA 141 Midterm: MA 141 NCSU Practice3
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Read all of the following information before starting the exam: complete each problem. Show all of your work clearly and in order and justify your answers, as partial credit will be given when appropriate and there may be no credit given for problems without supporting work. Circle or otherwise indicate your nal answers your nal answers. All answers should be completely simpli ed, unless otherwise stated. Use linear approximation to nd f (a + h) for f (x) = 1 cos x , a = . A rectangle with base on the x-axis has its upper vertices on the curve y = 3 x2. Use newton"s method with x0 = 1 to nd the root of the equation x4 x2 = 2. A ladder 10 feet long is resting against a wall. Find the following limits or show they do not exist. 6. intervals of increasing/decreasing, and intervals of concavity of f (x) = x4 2x3.