metu-mat119.e166421.set6 - Sena Aksoy MAT 119 5 Fall 2010...

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Sena AksoyMAT 119 5 Fall 2010WeBWorKassignmentset6isdue:12/11/2010at06:00am EET.(This is early Sunday morning, so it needs to be done Satur-day night!) Remember to get this done early!This assignment covers sections 8.1, 8.2, 8.3, 8.4, 8.5, 8.7,8.8, and 9.1, 9.2.1.(1 pt) A particle is moving with accelerationa(t) =24t+16. its position at timet=0 iss(0) =4 and its veloc-ity at timet=0 isv(0) =4. What is its position at timet=7?0Answer(s) submitted:1796(correct)Correct Answers:17962.(1 pt) (A) Estimate the area under the graph off(x) =36-x2fromx=0 tox=6 using 6 approximating rectangles and rightendpoints.Estimate =(B) Repeat part (A) using left endpoints.Estimate =(C) Repeat part (A) using midpoints.Estimate =Answer(s) submitted:125161144.5(correct)Correct Answers:
A=B=Answer(s) submitted:tan(x/3)0pi/4(correct)Correct Answers:tan(x/3)
4.(1 pt) Evaluate the following definite integral:R14-x2dx=.-1Sketch for yourself the region whose area is computed by thisintegral.HINT: Find the area using geometry – divide the area into atriangle and a slice of circle.Answer(s) submitted:sqrt3+2pi/3(correct)Correct Answers:3.826444140902215.(1 pt) The following sum11+3n·3n+11+6n·3n+11+9n·3n+...+11+3nn·3nis a right Riemann sum for a certain definite integralZb1f(x)dxusing a partition of the interval[1,b]intonsubintervals of equallength.Then the upper limit of integration must be:b=and the integrand must be the functionf(x)=Answer(s) submitted:41/x(correct)
Answer(s) submitted:-9-38(score 0.5)Correct Answers:1

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