Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13.6, Problem 36PS
To determine
To find: The value of given integral by Stoke’ theorem.
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Chapter 13 Solutions
Calculus
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- ● Q1/ Determine the integral of the vector function -2π ● [sin² (t) cos(t) i + sin(t)(cos² (t) j + 2k] dtarrow_forwardc. r(t) = cos (t - /2)i + sin (t d. r(t) = (cos t)i – (sin 1)J• 20 %3D %3D niz mil e. r(t) = cos (r)i + sin (12)j, t0 v 38. Motion along a circle Show that the vector-valued function %3! r(1) = (2i + 2j + k) + cos t il + sin i + j+ k V3 describes the motion of a particle moving in the circle of radius 1 centered at the point (2, 2, 1) and lying in the plane x + y - 2z = 2. 39. Motion along a parabola A particle moves along the top of the s bai 1 smit %3Darrow_forward3. Use integration to determine the formula for the "equation of motion" 7(t), given that : F (t) = ( 2t, 12e", sin t) and 7(0) = (1,2,3). 4. Consider the plane curve C: 7(t) = (b cos(@t), b sin(wt)). (a) Find the value of a for which * + a = ö . (b)Compute the Frenet frame formulas for C : F(t). (c) Determine the curvature function «(t) for the curve.arrow_forward
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