2 (b) For each real number k > 0, produce an explicit equation för the level surface }(c) Consider the function gf2 (distance square). Find the partial derivativesdua (r, y, z). What do you notice?(d) Let F(t) be a single-variable function. The following table gives some relevant vaifunction.FF'F"t = 0t = 1-410133t = 2-29.-3Suppose that h(x, y, z) = F(g(x, y, z)). Find values of (0, 0, 2) and (0, 0, 2)2. Let C be a curve given byr(t) = (e' sin t, e' cos t, v2e'), tis real.(a) Find the binormal vector B(t).(b) Find the arc length of C from (0, 1, v/2) to (0, –e", v2e").(c) Find the curvature k(t).3. The motion of a particle along a curve in space is given byr(t) =t2e",t is real.(a) Find the velocity v(t) and the acceleration a(t).(b) Find the tangential and normal scalar components of acceleration aT, ɑn.(c) Use your answer to (b) to find the curvature K(t). (Hint: an = k|v]2.)OCT29stvMacBook Pro

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Description: 2 (b) For each real number k > 0, produce an explicit equation för the level surface }(c) Consider the function gf2 (distance square). Find the partial derivativesdua (r, y, z). What do you notice?(d) Let F(t) be a single-variable function. The follo

Given, r(t)=etsin t, etcos t,2et

Answered: 2. Let C be a curve given by r(t) = (e'…

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2. Let C be a curve given by r(t) = (e' sin t, e' cos t, /2e'), t is real. (a) Find the binormal vector B(t).

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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