Consider the following. r(t) = (5 t)i + (6t - 5)j + 7tk, P(4, 1, 7) (a) Find the arc length function s(t) for the curve measured from the point P in the direction of increasing t. s(t)=√86 (t-1) Reparametrize the curve with respect to arc length starting from P. (Enter your answer in terms of s.) s(t) s(t) 6s(t) √86 √86 r(t(s)) = 4- 86 (x, y, z) = i+ 11 + +71 + X (b) Find the point 4 units along the curve (in the direction of increasing t) from P. 4 -( (4- √ 86 )₁ + ( 11 + 24 4 286 )₁ +7(1 + √56)* ) k √86 86
Consider the following. r(t) = (5 t)i + (6t - 5)j + 7tk, P(4, 1, 7) (a) Find the arc length function s(t) for the curve measured from the point P in the direction of increasing t. s(t)=√86 (t-1) Reparametrize the curve with respect to arc length starting from P. (Enter your answer in terms of s.) s(t) s(t) 6s(t) √86 √86 r(t(s)) = 4- 86 (x, y, z) = i+ 11 + +71 + X (b) Find the point 4 units along the curve (in the direction of increasing t) from P. 4 -( (4- √ 86 )₁ + ( 11 + 24 4 286 )₁ +7(1 + √56)* ) k √86 86
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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
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