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: 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.

Q: 7. A curve in the zy-plane is described by the equation 2y(x − 1)² – xy² + 1 = 0. (a) Determine…

A: Given equation of curve: 2yx-132-xy2+1=0 Now, from the given points (1,0) , (2,0), (1,1) , (2,1) and…

Q: Suppose ƒ(1, 2) = 4, ƒx(1, 2) = 5, and ƒy(1, 2) = -3. Find an equation of the plane tangent to the…

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)

Q: Solve the problem. Find the equation for the tangent plane to the surface x2 + 10xvz + y = -8z2 at…

A:

Q: Find the equation of the plane tangent to the graph of z + xyz = 33 at (1,2,3).

A:

Q: Find the linear approximation of the function f(x, y, z) = √√√x² + y² + z² at (6, 9, 2) and use it…

A: The given function is f(x,y,z)=x2+y2+z2. To Find: A linear approximation of this function at…

Q: Find the equation for the tangent plane to the surface -3x+ 9y -7z = -26 at the point (1,-1, Lütfen…

A:

Q: Find the equation for the tangent plane to the surface z = - 9x - 7y at the point (2, 1, - 43). O A.…

A:

Q: Consider the surface What is the equation of the tangent plane to the surface at the point…

A: Given surface is -2x3-2xy+2xyz=36 The equations of the tangent plane and the line normal to the…

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)2 +…

A: We have equation of the form     z= f(x, y)  And we have to find equation of tangent plane to the…

Q: v = (2x² – y² +4)i+(5y+3x – 6)j . Consider two closed paths starting (and ending) at a dock located…

A: Let A=(-1,0), B=(2,0), C=(0,2). Now,∫path 1v.dr =∫path 12x2-y2+4dx+5y+3x-6dy…

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.