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A: We have given;
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A: We have to find the arc length.
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A: Topic = Integration
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Q: Consider the parametric curve: X = = 7et y = 3t5 Which integral gives the arc length of the curve…
A: I am going to solve the problem by using some simple calculus to get the required result of the…
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- Find parametric equations for the semicircle x2 + y2 = a2, y > 0, using as parameter the slope t = dy/dx of the tangent line to the curve at (x, y).A cycloid has parametric equations = t – sint, y = 1 - cost, 0Find parametric equations for the semicircle x2 + y2 = a2, y> 0, using as parameter the slope t = dy/dx of the tangent to the curve at (x, y).Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 from t = -2 to t= 0.The parametric curve x= 4t4 + 4t 2 + 1, y= 5t3 – 5t has two tangent lines at the point (9, 0). Find their slopes.Find the parametric equation for the line tangent to the r(t)=sinti+(t2-cost)j+etk curve t=0 at the parameter value.Let Q = 4x2 + 6xy+ 4y? . The points on the curve Q = 7 which are closest to the origin are: %3D %3D OA(-눈-)and () (주·주) pue OB. (-V7, V7) and (v7, -V7) Oc. (0, ±1) OD. (tV7,0)Find an equation of the tangent(s) to the curve with parametric equations x = t cost, y = tsin t at the point corresponding to the parameter t = π.Find the arclength of the curve r(t) = (-3 sin t, 5t, -3 cost), -2 ≤ t ≤ 2SEE MORE QUESTIONS