C) Proof that the point (3,) located on the curver 3 sin 20. (Proof that the 3m point (3,") satisfy the equation of the curve r 3 sin 20.

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A: Equation of tangent line : y - y0 = m ( x - x0) Here m is a slope .

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A: Given : The curves r1(t)→=2t,t6,-t2   and  r2(t)→=sin(3t),sin (2t),t-π intersect at origin(0,0,0).

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A: Here, the given curves are: r→1(t)=-2t,t5,t6 and r2→(t)=sin(-2t),sin(-4t),t-π which intersect at the…

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Q: Use the Intermediate Value Theorem and Rolle’s Theorem to prove that the equation has exactly one…

A: The given equation is 3x+1-sinx=0. It can be seen that f0=1&gt;0 and f-π=-3π+1&lt;0.

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Q: 8 sin 8. Then sketch the curve.

A: The correct curve of r = 8 -8sin(θ) is  Option (C)

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A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of…

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