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Sample Questions for Exam 2 - Analytical Geometry and Calculus 3 | MATH 222, Exams of Analytical Geometry and Calculus

Kansas State University (KSU)Analytical Geometry and Calculus

Material Type: Exam; Class: Analy Geom & Calc 3; Subject: Mathematics; University: Kansas State University; Term: Spring 2006;

Typology: Exams

2010/2011

Uploaded on 05/31/2011

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CALCULUS 3. EXAM 2 Spring 2006 NAME, REC. INSTR. TO RECEIVE CREDIT YOU MUST SHOW YOUR WORK (15) 1. a) For the curve y = x°/3 in the xy-plane, find the curvature as a function of x. b) Suppose an object is moving along the curve in part a) from left to right. It is moving in such a way that its speed as a function of the time t is speed = 2 ft/sec. Suppose also that at time t = 2 seconds the object is at the point (x,y) = (1,1/3). Find ag r Ay and the acceleration vector when t = 2 -seconds. ay =