AT C questi Asu My ASU WeBWorK Eng d M Chegg C https://webwork.asu.edu MAT 267 S
ID: 2852586 • Letter: A
Question
AT C questi Asu My ASU WeBWorK Eng d M Chegg C https://webwork.asu.edu MAT 267 Spring 2015/Section 10.7/2/?user abourash&effectiveUser; abourash&key; c6iM8fwMxBdsvmPkurE a ABP /webwork2/England Log Out MATHEMATICAL ASSOCIATION OF AMERICA webwork england at 267 spring 2015 section 0.7 MAIN MENU Homework Sets Section 10.7 Problem Section 10.7: Problem 2 Prev Up Next Grades Problems (1 pt) Problem 1 Let r(t) (vi F3) i Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Note: You can eam partial credit on this problem. Problem 9 Preview Answers l Submit Answers Problem 10 You have attempted this problem 14 times. Problem 12 Your overall recorded score is 67%. Problem 13 You have unlimited attempts remaining. Problem 14 Problem 15 Email instruct Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Display options View equations as: https://web d MAT 267 Spring 2015/S 0.7/2/? h&eff; &display; Mode Math. OldA 8:46 AM 2/7/2015Explanation / Answer
lets take a look at the vector components individually
the x component is sqrt(t+3) the value of limit of this when t tends to 1 will be 2.
the y component is (t^2-1)/(t-1) its value of limit at t tending to 1 is indeterminate so we'll have to do some simplification
t^2-1=(t-1)(t+1) difference of squares identity
now (t-1)(t+1)/(t-1) cancelling out the common factors
the y component becomes (t+1) and its value of limit when t tends to 1 will be 2.
the z component is Sin(5*pi*t) we know that Sin(n*pi) =0 where n=0,+-1,+-2........+-n
so the z components limit becomes 0
therefore,
lim t--->1 r(t)= 2i + 2j +0k
or simply 2i+2j