Determine the length of the Parametric Curve given by the set of parametric equations.











up vote
0
down vote

favorite












I am seeking validation for my answer for the given problem below.



Question: "Determine the length of the Parametric Curve given by the set of parametric equations."



Parametric Equations:
$x = 3 + 9t$,
$y = 10 - 15t$



myAnswer = sqrt(306);



I used the Arc Length Formula to solve this problem.










share|cite|improve this question




























    up vote
    0
    down vote

    favorite












    I am seeking validation for my answer for the given problem below.



    Question: "Determine the length of the Parametric Curve given by the set of parametric equations."



    Parametric Equations:
    $x = 3 + 9t$,
    $y = 10 - 15t$



    myAnswer = sqrt(306);



    I used the Arc Length Formula to solve this problem.










    share|cite|improve this question


























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I am seeking validation for my answer for the given problem below.



      Question: "Determine the length of the Parametric Curve given by the set of parametric equations."



      Parametric Equations:
      $x = 3 + 9t$,
      $y = 10 - 15t$



      myAnswer = sqrt(306);



      I used the Arc Length Formula to solve this problem.










      share|cite|improve this question















      I am seeking validation for my answer for the given problem below.



      Question: "Determine the length of the Parametric Curve given by the set of parametric equations."



      Parametric Equations:
      $x = 3 + 9t$,
      $y = 10 - 15t$



      myAnswer = sqrt(306);



      I used the Arc Length Formula to solve this problem.







      calculus parametric arc-length






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Nov 23 at 20:15

























      asked Nov 23 at 20:04









      Alex Brito

      14




      14






















          1 Answer
          1






          active

          oldest

          votes

















          up vote
          0
          down vote













          HINT



          Recall that



          $$L=int_{t_1}^{t_2} sqrt{left(frac{dx}{dt}right)^2+left(frac{dy}{dt}right)^2}dt$$



          Refer also to Arc Length With Parametric Equations.






          share|cite|improve this answer





















            Your Answer





            StackExchange.ifUsing("editor", function () {
            return StackExchange.using("mathjaxEditing", function () {
            StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
            StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
            });
            });
            }, "mathjax-editing");

            StackExchange.ready(function() {
            var channelOptions = {
            tags: "".split(" "),
            id: "69"
            };
            initTagRenderer("".split(" "), "".split(" "), channelOptions);

            StackExchange.using("externalEditor", function() {
            // Have to fire editor after snippets, if snippets enabled
            if (StackExchange.settings.snippets.snippetsEnabled) {
            StackExchange.using("snippets", function() {
            createEditor();
            });
            }
            else {
            createEditor();
            }
            });

            function createEditor() {
            StackExchange.prepareEditor({
            heartbeatType: 'answer',
            autoActivateHeartbeat: false,
            convertImagesToLinks: true,
            noModals: true,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: 10,
            bindNavPrevention: true,
            postfix: "",
            imageUploader: {
            brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
            contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
            allowUrls: true
            },
            noCode: true, onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            });


            }
            });














            draft saved

            draft discarded


















            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3010773%2fdetermine-the-length-of-the-parametric-curve-given-by-the-set-of-parametric-equa%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown

























            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            0
            down vote













            HINT



            Recall that



            $$L=int_{t_1}^{t_2} sqrt{left(frac{dx}{dt}right)^2+left(frac{dy}{dt}right)^2}dt$$



            Refer also to Arc Length With Parametric Equations.






            share|cite|improve this answer

























              up vote
              0
              down vote













              HINT



              Recall that



              $$L=int_{t_1}^{t_2} sqrt{left(frac{dx}{dt}right)^2+left(frac{dy}{dt}right)^2}dt$$



              Refer also to Arc Length With Parametric Equations.






              share|cite|improve this answer























                up vote
                0
                down vote










                up vote
                0
                down vote









                HINT



                Recall that



                $$L=int_{t_1}^{t_2} sqrt{left(frac{dx}{dt}right)^2+left(frac{dy}{dt}right)^2}dt$$



                Refer also to Arc Length With Parametric Equations.






                share|cite|improve this answer












                HINT



                Recall that



                $$L=int_{t_1}^{t_2} sqrt{left(frac{dx}{dt}right)^2+left(frac{dy}{dt}right)^2}dt$$



                Refer also to Arc Length With Parametric Equations.







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Nov 23 at 20:06









                gimusi

                1




                1






























                    draft saved

                    draft discarded




















































                    Thanks for contributing an answer to Mathematics Stack Exchange!


                    • Please be sure to answer the question. Provide details and share your research!

                    But avoid



                    • Asking for help, clarification, or responding to other answers.

                    • Making statements based on opinion; back them up with references or personal experience.


                    Use MathJax to format equations. MathJax reference.


                    To learn more, see our tips on writing great answers.





                    Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


                    Please pay close attention to the following guidance:


                    • Please be sure to answer the question. Provide details and share your research!

                    But avoid



                    • Asking for help, clarification, or responding to other answers.

                    • Making statements based on opinion; back them up with references or personal experience.


                    To learn more, see our tips on writing great answers.




                    draft saved


                    draft discarded














                    StackExchange.ready(
                    function () {
                    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3010773%2fdetermine-the-length-of-the-parametric-curve-given-by-the-set-of-parametric-equa%23new-answer', 'question_page');
                    }
                    );

                    Post as a guest















                    Required, but never shown





















































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown

































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown







                    Popular posts from this blog

                    Probability when a professor distributes a quiz and homework assignment to a class of n students.

                    Aardman Animations

                    Are they similar matrix