The equation of the tangent plane to the surface x² 8 at the point (2,-1, 3) is Select one: O x-2 1/2 - y+1 2 - + 2y 2-3 – 2/3 9 5 2 O(x-2) + 2(y + 1) − ² (z − 3) = 0 - O(x + 2) + 2(y- 1) − (z + 3) = 0 - O None of them O(x-2) + 2(y + 1) − ² (z − 3) = − 5 - -

Q: Calculate the distance from point A(1, 2, 1) to the plane of equation 3x-4y + 5z = 1.

A: To find distance of point to plane using the formulae: Given point is and plane equation is .

Q: Find an equation of the line tangent to the intersection of the cylinders x² +2²= 4, y²2 +2²=4 and…

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Q: Find the equation of the tangent plane to the surface 2= 42 + 3y+7zy at the point (0,-1,3).

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

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Q: Find the equation for the tangent plane to the surface Z =-8x² - 3y2 at the point (2 1, -35). O 2x +…

A: We can find the answer as below

Q: Find an equation of the tangent plane to the surface z = -2z² – 2y?- lz 2y+ 3 at the point (5, 1,…

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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: Find the domain, vertical asymptotes, and horizontal asymptotes of the functions. (Click here for…

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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 an equation of the tangent plane to the surface x² + 2y² + z² = 175 at the point (5, -5, 10). O…

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Q: If (x1, yı) and (x2, y2) are distinct points in the plane, show that y 1 1 =0 X1 x2 y2 is the…

A: If (x1, y1) and (x2, y2) are distinct points in the plane, to show that  xy1x1y11x2y21 =0 is the…

Q: Find an equation of the tangent plane at P = 4x² + z²e-x = 25 13/1) 2,3, to the given surface.…

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