(a) [5 pts.] Show that the curve a(t) = (cosht, sinh t, t) has arclength function...

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(a) [5 pts.] Show that the curve a(t) = (cosht, sinh t, t) has arclength function et + e-t et e s(t) = √2 sinh t, where cosh t = and sinht = 2 (b) [5 pts.] Show that sinh ¹ x = ln(x + √√x² + 1). (c) [5 pts.] Find an arclength parameterization for a. 2 (a) [5 pts.] Show that the curve a(t) = (cosht, sinh t, t) has arclength function et + e-t et e s(t) = √2 sinh t, where cosh t = and sinht = 2 (b) [5 pts.] Show that sinh ¹ x = ln(x + √√x² + 1). (c) [5 pts.] Find an arclength parameterization for a. 2

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a The arc length of the curve at cosh t sinh t t can be found using the formula for the arc length o... View the full answer