Find the tangent plane and normal line to In X 2y = z²(x-2y) + 3z +3 at (4, 2, -1).

Q: Determine the equation of the normal line to the surface In (x + y) = Z 2 at the point (-1,2,0)

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Q: Can you find the stationary points of V and classify each of them by using the 2nd derivative test?

A: Introduction: A real-valued function defined on a closed or bounded interval can have its absolute…

Q: Find an equation of the tangent line to y = xt + 2x2 – x at x = 2

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Q: Find equation of the tangent line to the curve y = v2x + 1 at the point (4,3).

A: Given:    y = √(2x+1)  Point (4,3)

Q: Find the tangent line approximation for V5 + x near a 4.

A: Find your answer below

Q: Find the slope of the tangent line to the curve V4r + y+ VIY = /13 + V10 at the point (2, 5). The…

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Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: Find the equation of the tangent plane to z = In(x²y) – x/ỹ at (-,4).

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Q: Find the slope of the tangent line to the curve - 4a? – læy + 2y³ : - 4x² = - 4 at the point (2, 2).

A: to find the slope differentiate  the y with respect to x.

Q: Equation of the line normal to function f(x) = (x-8)2/3 + 1 at P(0, 5) is %3D

A: We use the formula ,the equation of normal line is y-y1=m(x-x1) where m is the slope.

Q: Calculate the equation of the tangent line to the curve 2r³ + xy +3x+ y = 2 at the point (0, 2).

A: To find the equation of a tangent line to the given curve at point (0,2).

Q: FIND THE EQUATIONS OF THE TANGENT NORMAL LINES TO THE 0 o 2 ARVE: X*ty" © (0,0 -6x +2y -O %3D

A: Given:- x2 +y2 -6x+2y=0 To find:- Equation of tangent and normal at point (0, 0) on given curve

Q: Find the equation of the tangent plane to z= e" +x+x³ +1 the point (2, 0, 12).

A: Let a surface be represented by the function fx, y, z = c where c is a constant. Then the equation…

Q: Find unit vector tangent and normals to the are y=1/2 X3+1/2. Point(1,1)

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