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A: Topic- application of derivatives and tangent equation
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A: Given:- x =(3t/4) y = 3ln((t/4)2-1) To find:- Length of curve from t =5 to t=6
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A: Consider the parametric equations
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A: Shown below
Q: Find the equation of the tangent line to the curve defined by the parametric equations x(t) = t3 +…
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Q: In which direction is the curve x = -2 sin t, y = 2 cos t, for 0 ≤ t < 2π, generated?
A: x = -2 sin t, y = 2 cos t Table for values of x and y: t x y 0 0 2 π 0 -2 π2 2 0 2π 0 2
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Q: Find the length of the parametric curve I = cos(t) y = 1 + sin(t) from t = 0 to t =
A: Given- x=cost and y=1+sint To Find- The length of the parametric curve from t=0 to t=π. Identity…
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Q: Determine the length of the parametric curve given x = 6 sint, y = 6 cost, ㅠ 0 ≤ t ≤=.
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Q: Find the length of parametrized curve given by x(t) = 6t2 + 12t, y(t) = -4t3- 12t2 - 9t where t…
A: Consider the parametric curve given by: x(t)=6t2+12t and y(t)=-4t3-12t2-9t for t from 0 to 1. The…
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Q: A curve is defined by the parametric equations T = sin t, y = 1 – cos t, 0<t< 27.
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Q: Find the length of the curve C defined parametrically by C:x(t) = e' cos t, y(t) = e' sint, 0<tS#…
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