Need help with part b). Please explain each step and neatly type up. Thank you :) Question 5. In this problem we prove that a straight line is the shortest curvebetween two points in R". Let p, q € R" and let y be a curve such that y(a) = p,(b) = q, where a < b.(a) Show that, if u is a unit vector, then·u ≤||||.(b) Show that(q − p) u≤≤ 11|||| dt.(c) Show that the arc length of y from y(a) to y(b) is at least ||q - p||, withequality when y is a straight line.

From the previous result (a), If u is a unit vector then,…

Answered: (b) Show that cb (q-p).u≤|li|| dt. a

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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INSTRUCTIONS: For the assignment below, prepare answers in a Word document (.doc or .docx) and submit a single file to the Dropbox. You should use Excel to calculate your answers, and be sure to submit both your calculations and final answers. Calculations can be pasted from Excel into your Word document. Note that Excel calculations are supporting documentation, but you still need to explain the exact answers in narrative form in order to receive full credit. In addition to the textbook, check out the Unit 5 Resources section for additional content including PowerPoints and video tutorials that might aid you in your calculations. You can find a "case study template" to use under Course Home. Remember to include a title page, introduction, conclusion, and reference list. See further below for grading rubric. NOTE: You will need to access the 'Analysis Toolpak' in Excel in order to perform the calculations for this case. If you have not already installed this free add-in, please…
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