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c3-fx - Name Final Exam/MAC2313 Page 1 of 7 STUDENT EXAM...

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Name: Final Exam/MAC2313 Page 1 of 7 ______________________________________________________________________ STUDENT #: EXAM #: ______________________________________________________________________ Read Me First : Read each problem carefully and do exactly what is requested. Full credit will be awarded only if you show all your work neatly, and it is correct. Use complete sentences and use notation correctly. Remember that what is illegible or incomprehensible is worthless. Communicate. Eschew obfuscation. Good Luck! ______________________________________________________________________ 1. (12 pts.) Evaluate the iterated integral by reversing the order of integration. ______________________________________________________________________ 2. (18 pts.) (a) Obtain an equation for the plane that is tangent to the graph of the function at the point (-1,-2,5) in 3-space. (b) Consider the function f of three variables defined by Obtain an equation for the level surface for this function that passes through the point (1,-1, -1) in 3-space. (c) Obtain an equation for the plane that is tangent to the level surface given in part (b) with the point of tangency being (1,-1, -1).

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Name: Final Exam/MAC2313 Page 2 of 7 ______________________________________________________________________ 3. (12 pts.) Obtain an arc-length parameterization for the curve
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