Problem #3: Consider the function E(x, y, =) = 2r2 + y? – 2: - 2 and the level surface E(x, y, =) = 30. Find a point P on the surface, such that the tangent plane to the surface at that point is parallel to the plane 4x + 5y – 2: = 5. (A) P = (2, 5, -1) (B) P = (-2, 5, 0) (C) P = (2, 5, 1) %3D %3D (D) P = (2,-5, -1) (E) P = (-2, -5, 1)

Q: Let f(x y) = x2 + y4. Find the slope of the line tangent to this surface at the point (1, - 1) and…

A:

Q: Consider the following curves: r₁(t) = (sint, sint, √2 cost), r2(t)=(√2 cost, √2 sint,0), t = [0,…

A: As per the guidelines repost the other question.

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A: Equation of the plane tangent to the surface  z=f(x, y) at (a, b) is z=fa, b+fxa, b(x-a)+fya, b(y-b)

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.