Determine the projection of the surface 𝑥23−𝑦2=𝑧 on the yz-plane? (Hint: 𝑥=0) Group of answer choicesNo answer text provided.No answer text provided.ParabolaCircle

Determine the projection of the surface 𝑥23−𝑦2=𝑧 on the xy-plane? (Hint: 𝑧=0)Group of answer choicesEllipseHyperbolaOne LineTwo Lines

he surface determined by the parametric equations x = z(cos u + u sin u), y = z(sin u − u cos u),0 ≤ u, z ≤ 1

Find the tangent plane to the surface determined by z = x√y for (x, y) = (1, 4). (Hint: You mustfirst calculate the value of z at the given point.

Find a normal vector n𝑛 to the tangent plane to the surfacez=−3x2y3𝑧=−3𝑥2𝑦3 at the point (x,y,z)=(−3,4,−1728)(𝑥,𝑦,𝑧)=(−3,4,−1728) and enter your answer in the box below using Maple syntax.  n=𝑛=

A plane cuts through a cone parallel to its base. What shape is formed by this intersection?ResponsesA circlecircleB ellipseellipseC hyperbolahyperbolaD parabola