Which of the following is the equation of the tangent plane to the surface z=x2 - x+3y² +y at the point P(1, 1,4) ? (a) x+7y =6 (b) x+7y-z=4 (c) 3x+5y=8 (d) 3x+5y-z= 4 (e) x+7y+z=12

Q: Find a point on the surface x+4y--z² =1 where the tangent plane is parallel to the plane x+4y- z =…

A: we need to find gradient of given surface to know about direction of normal vector to tangent plane

Q: 2. Find the equation of the tangent plane to the surface x²+3y²+4z² = 20 (2,2, 1). at the point

A: Step 1:To find the equation of the tangent plane to the surface x2+3y2+4z2=20 at the point (2,2,1),…

Q: Find an equation of the tangent plane to the surface z2 +2y + 2 = 175 at the point (5, -5, 10). O 10…

A:

Q: 2. Find the equation of the tangent plane to the surface z = 3++ at point (-4, 3).

A: Topic- application of derivatives  Tangent to surface

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

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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 surface x² + 2y² + z² = 175 at the point (5, -5, 10). O…

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