Let r(t)=(10 cos(t), 1, 10 sin(t)). Find the unit tangent vector u drawn to point P=(6,1,8). Sketch curve and tangent.

Q: Consider the following parametric curve r(t) =

A: Let rt be the parametric equation of the curve. To calculate the unit tangent vector, use the…

Q: Find the tangent plane to the equation z = 2y cos(5z – 4y) at the point (4,5, 10) z = 2y- 2= 0 X…

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Q: Show that the curves r = a sin θ and r =  a cos θ intersectat right angles.

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Q: sketch the curve ƒ(x, y) = c together with ∇ƒ and the tangent line at the given point. Then write an…

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Q: Trace the curve r² = 4cos⁴(theta) tan²(theta)

A: The given curve is r2=4cos4θtan2θ