Consider the space curve (t) = (t − 1, -3t+4, 4t+2). a. Find the arc length function for r(t). s(t)=√26 t b. Find the arc length parameterization for r(t). T(s) = ( ✓26 S 4√26 S +2 1 1 X -3√ 26 S +4 X

Q: Find the arc length of the curve c(t) (3t, 18t) for -1 ≤ t ≤ 1. (Express your answer as an exact…

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Q: Consider the following. r(t) = (5 t)i + (6t - 5)j + 7tk, P(4, 1, 7) (a) Find the arc length function…

A: Given that  rt = 5-t i + 6t-5 j + 7t k                     ⇒  r'r = - i + 6 j + 7k…

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A: Arc length is-  Integration with limits a to b [√(dx/dt)^2 +(dy/dt)^2 +(dz/dt)^2] dt

Q: Find the arc length of the graph of (v-1)³ = x² 1 <y<5.

A: Given that y−13=x2 and 1≤y≤5. We have to find the arc length of the graph of y−13=x2 and 1≤y≤5.…

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Q: Find the length of the curve traced out by the path c(t) Answer= = (cos(3t), sin(3t), 6t) for 0 ≤ t…

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Q: Find the arc length (s) of the curve 7(t) = ( - 2t + 2, – 2t3/2 + 1, – 4t3/2 4) for 0 <t < 3 - S =

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Q: 1) Let 7(t) = (t, 2 cos t, 2 sin t), -4 <t< 4. Find the length of the curve.

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Q: The arclength of y 4x/2 for 2 < r < 4 is:

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Q: Find the arclength of the following function from x = 0 to x = 2 (x² +2)Wx² +2 f(x)=. 3

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