Vectors : Arc length of a space curve
Not what you're looking for?
Use the integration capabilities of you graphing utility to approximate the arc length of the space curve given by: vector r(t) = t i + t^3 j + 3t K from the point (1,1,3) to the point (2,8,6). Round your answer to the nearest three decimal places.
I did this problem and got the answer 2.003 X 10^10.
Would you please show me how the problem should be done and what the answer should be, even if I am correct?
Purchase this Solution
Solution Summary
Arc length of a space curve is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
Solution Preview
=========================================== theory
if you have a curve r(t) = x(t) i + y(t) j + z(t) k
then the arc length between two points where t=a to t=b is given by
arc length s = int^b_a sqrt( x'(t)^2 + y'(t)^2 + z'(t)^2 ) dt
( this is ...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Probability Quiz
Some questions on probability
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts