Find an arc length parametrization r(t) = (et sin(t), et cos(t), 7et). Assume t(s) = 0 when s = 0, and t'(0) > 0. r₁(s) = ( r₁(s) of

Q: x = 2 sin-1 1, y = In (1 – r²) (0<1s!)

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Q: Parameterize the curve r(t) = (2+ cos 3t, 3 – sin 3t, 4t) using arc length, s, as a parameter. Use t…

A: Given the curve rt=2+cos3t, 3-sin3t, 4t---1. Differentiating, we get vt=r't=-3sin3t,…

Q: Find the arc length of the curve c(t) = (cos(9t), sin(9t), 2t³/2) on the interval 0 ≤ t ≤ 1.…

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Q: Find an arc length parametrization of r(t) = (e' sin(t), e cos(t), 2e).

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Q: d (h) Find sec (arctan (0~))] do

A: We need to find out the derivative.

Q: Suppose θ(t) measures the minimum angle between a clock’s minute and hour hands in radians. Find,…

A: Given that:  θ (t) measures the minimum angle between a clock’s minute and hour hands in radians. An…

Q: Find the domain of the vector function 7(t) = Domain: {t| <t< }

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Q: Find unit tangent of curve r(t)=

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Q: I and y are related by 16 ye8 xy = sin (5 z). (a) Find dy at the point (0, 0). (b) Find the equation…

A: since given that x and y are related to each other as 16ye8xy=sin(5x)

Q: The slope of the tangent line to the curve parametrized by the equations x (t) = -2(cos(t) + t…

A: Slope of tangent is equal to dy/dx.

Q: F(t) = 3 cos(t)ỉ + 3 sin(t)j + 2tk

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