Find the arc length parameter along the curve from the point where t = 0 by evaluating the integral S= t S|v(t)) dt. Then find the length of the indicated portion of the curve. 0 r(t) = (6+3t)i + (4+ 3t)j + (9-5t)k, -1≤t≤0 The arc length parameter is s(t) = ☐ . (Type an exact answer, using radicals as needed.) The length of the indicated portion of the curve is (Type an exact answer, using radicals as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 26E
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Find the arc length parameter along the curve from the point where t = 0 by evaluating the integral
S=
t
S|v(t)) dt. Then find the length of the indicated portion of the curve.
0
r(t) = (6+3t)i + (4+ 3t)j + (9-5t)k, -1≤t≤0
The arc length parameter is s(t) = ☐ .
(Type an exact answer, using radicals as needed.)
The length of the indicated portion of the curve is
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:Find the arc length parameter along the curve from the point where t = 0 by evaluating the integral S= t S|v(t)) dt. Then find the length of the indicated portion of the curve. 0 r(t) = (6+3t)i + (4+ 3t)j + (9-5t)k, -1≤t≤0 The arc length parameter is s(t) = ☐ . (Type an exact answer, using radicals as needed.) The length of the indicated portion of the curve is (Type an exact answer, using radicals as needed.)
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