A curve is drawn on a sphere of radius "a' and the principal normal at a point P makes an angle 0 with the radius of the sphere at P. de Prove that P= a cos 0, -- ds

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A: Given the helix rt=3t,sin2t,cos2t. At t=π2, we get rπ2=3π2,0,-1.…

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Q: a) A curve has equation e3x. i) Find dx — e2x e3ye-2y = 3 in terms of x and y. ii) Find the equation…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the length of the curve x=1+2sin at, y=3–2 cos at, 0<t<l

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Q: 4) The curver= V1 + sin20,

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Q: 1.. Plot the cardioid curve (0)=2+2 sin then compute all angles for which the slope of the tangent…

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Q: A curve is defined by the parametric equations x-[*cos z dz, y- [sin z dz, tz 1. X= Find the length…

A: Consider the provided question, A curve is defined by the parametric equation x=∫8tcoszzdz,…