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Quiz #14 (5.4-5.6) Classlb: Math 1210 - - Name: oiu--crnS 008 Fall 2012 becember, 2012 Score Instructor: Katrina Johnson Instructions: Complete each problem. Show all of your work as partial credit will be given where appropriate, and there may be NO credit given for problems without supporting work All answers should be completely simplified, unless otherwise stated. You may NOT use a cakulator. You may use a 4x6 or 3x5 index card. (10 pts) 1. A force of 10 pounds is required to keep u priry iveiched 3 ieei beyond i1 norniol length. Find the work done in stretching the spring 6 feet beyond its naturol !enth. (bon’t forget your units.) .=‘ \ LQ. Answer 1: (DO (10 pts)2. Find the length of the curve x ‘‘ 4, Answer 2: c,) -- = +2, y =2t 2 t 2 —1, ist4. i - o (10 pts) 3. Find the centroid of the region bounded by the curves, y = , y 3 x = 0, and x = 1. = — S ()2cL - - t3 -::-;: — (‘‘ ‘%‘‘b \‘r -4 S - J ; — - 12 ‘4 -i (‘•\ Answer3: S ‘ 1 (10 pts) 4. Find the area of the surface generated by revolving the given curve about the x-axis. x=t, y=t , 0t1 3 -ç-;-;’ ct 1\ \ => Ti U 21 3fzj) Answer 4: 29 — “3, 12. iQ