3. Find the parametric equations of the tangent line to the curve: r(t) = sint i + (t²- cost)j + ek at point P(0, -1, 1)

Q: Determine the parametric equation for a line that is tangent (intersection) of the two fields below:…

A: We have to find out parametric equation for a line that is tangent (intersection)of the two fields…

Q: Which equation describes the tangent line to the curve * (t) = > at = 0₁ e³t. To(x) = To(u) = u…

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Q: Find the equation of the line tangent to the cardioid r = 1+ sin(0) at Ô0 =

A: Given that,, Here, differentiate w.r.t. ,we get, We know that, To find: equation of the line…

Q: Find the equation of the tangent line to the curve y = 6 sin x at the point (T/6, 3).

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Q: Write an equation of the tangent line to the parametric equation at the given value of t. Please…

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Q: Find the derivative of r(t)=(5-1³) î+2te¹¹ ĵ+sin 31 k and find the unit tangent vector at the point…

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Q: For the curve r-y +2xy-y+1=0: a) Find the derivative dy/dx. b) Where do the horizontal tangent lines…

A: follow the next step

Q: 7. Use implicit differentiation to find two equations between x and y such that the tangent line to…

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Q: 2- Find the equation of the tangents to curve given parametrically by Y= sin(x²) + 1 at (x,y)= (…

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