Find the equations of the normal line to the surface z = 8x°y" at the point (– 2, – 1,64). y = z = - t+ 64

Q: Q1) Find equations of the Normal plane and Osculating plane of the curve y = 2t, x = 2 sin 3t , z =…

A: We have to find Normal and oscillating plane from given information.

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: Find parametric equations for the normal line to the surface z=-7x2 -9y2   at the point   (2,1,-37)

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Q: Find an equation of the tangent plane and find a set of symmetric equations for the normal line to…

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Q: Find the points on the surface ( y + z)^2 + (z - x)^2 = 16 where the normal line is parallel to the…

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Q: x² + y? – 4x + 6y + 11 = 0 ,2 %3D

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Q: Find an equation of the normal line to the parabola y = x – 9x + 5 that is parallel to the line x -…

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Q: Find equations of the Normal plane and Osculating plane of y = 2t , the curve x = 2 sin 3t , z =…

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Q: Find the symmetric equations for the normal line LN to the surface S:f (x, y) = 5Vx2 + y? at the…

A: if  f is  function of (x,y,z) then gradient of f is defined asfx i + fy j + fz k ∇f is the normal to…

Q: Find equations of (a) the tangent plane and (b) the normal line to the surface 2(x−2)^2 + (y−1)^2 +…

A: Given surface is Firstly, we find all first order partial derivatives At point (3,3,5)

Q: consider the curve y=x^2-4x+2 show that the normal to the curve at the point x=1 is 2y-x+3=0

A: TO SHOW THE EQUATION OF NORMAL AT x=1 IS  '2y-x+3 =0' GIVEN y = x2-4x+2 EQUATION OF NORMAL AT x=1 is…

Q: Find the equations of (1) tangent plane and (2) the normal line to the given surface at the…

A: Equation of tangent plane at x0, y0, z0 is, z-z0=∂z∂xx-x0+∂z∂yy-y0 Equation of a line with normal…

Q: Find an equation of the normal line to the parabola  y = x2 − 4x + 1  that is parallel to the line…

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Q: Find the equations of the normal line to the surface z = at the point (1, - 2, 32). - t + 32 ||

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Q: 1. Find the equations of the normal and osculating planes of the curve x = Int, y = 2t, z = t? at…

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Q: Find the equation of the sphere if one of its diameters has endpoints (3, -4, 5) and (5, 0, 11)…

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Q: Find an equation of the normal line to the parabola y = x2 – 8x + 4 that is parallel to the line x –…

A: Let the equation of the normal line in the slope-intercept form is, y=mx+c where m is the slower and…

Q: Find equations of (a) the tangent plane and (b) the normal line to the given surface at the…

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Q: Find the equation of the normal line to the paraboloid z = 2x² +y² at the point (1,2,6). Select one:…

A: Equation of paraboloid  To find: The equation of normal at a point P = (1,2,6).

Q: ind the equation for (a) the tangent plane and (b) the normal line at the point Po(8,0,8) on the…

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Q: Find the normal to the curve xy + 2x – y = 0 that are parallel to the line 2x + y = 0.

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Q: Find the equations of the normal line to the surface z = 2x°y* at the point (2, 2, 256). y = 2 = -t…

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Q: Find an equation of the normal line to the surface z = ye 2æy at the point (0, 2, 2).

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Q: Find the equation of the normal line to the parabola y = x + 3x – 2, that is also parallel to 7x…

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Q: What is the equation of the normal line to the ellipse 8x^2 + 32y^2 = 256 at the point (4,2)?

A: the equation of the normal line to the ellipse can be found by differentiating the given equation…

Q: Find the length of normal and sub-normal at a point -X a ea +ea 2 on the curve y =

A: We know that the length of normal at a point on the cure y=fxis given by y1+dydx2and the length of…

Q: 1. For the curve x²y? = 25 at (-1,-5), find the equation of the normal line. %3D

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Q: Find the equation of the normal line at the point (-2,1 – 3) to the ellipsoid + y2+ 름= 3.

A: To determine the equation of the normal line.

Q: Find the equation of the sphere if one of its diameters has endpoints (3, 1, -5) and (5, 5, 1) which…

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Q: Find the equations of the normal line to the surface z 6z y at the point (1, -1,-6) t+ 6 Submit…

A: To find the equation of normal line to the surface at (1,-1,-6)

Q: For the curves a2 = 1 and y2 = 4x 63 If the two curves have only two distinct common normal then the…

A: The given curves are: x2a2+y263=1           and           y2=4x

Q: x + 2x – 3, that is also parallel to Find the equation of the normal line to the parabola y – 2x +…

A: Definition used -                         Slope of normal - The slope of normal at a point is the…

Q: Find the equations of the normal line to the surface z = 2a'y* at the point (2, – 1, 16). | x = y =…

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Q: Q5: Find equations for (a) the tangent plane and (b) normal line at the point P, on the given…

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Q: Find an equation of the normal line to the parabola y = x2 - 8x + 9 that is parallel to the line x -…

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Q: Question 16 What is the normal line to the curve 9x+4y=36 at (0,3)7 А) х-аxis B y-2=0 C) x+13D0 D У…

A: We have to find As the ist question answer is wrong So I have to do 2nd question

Q: Find the equation of the normal lines to the curve y=x^3-2x+1 that is perpendicular to the line…

A: Consider the given equation of the curve as y=x3-2x+1. Differentiate with respect to x we get as…

Q: Find equations of the normal plane and osculating plane of the curve at the given point. x = sin 2t,…

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Q: If we have (x'+y' –9xy = 0 ), The normal to the curve a (2,4) is 4 12 a - y=-x+- 5* 5 4 13 ア=ーズー 5…

A: Proceed as shown below...

Q: Find the equation of the Normal Line to the curve y 2 = x at (4, 2). A 4х — у — 18 %3D 0 B 4х + у 18…

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Q: Determine the equation of the normal line to the hyperbola x^2 - 4y^2 = 9 at (5,2)

A: We have to find equation of normal

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point P. on the surface…

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Q: For the curve x - 2t and y = t-1, what is the equation of the normal line when t=2

A: Given,x=2t.................(1)andy=t-1..................(2)Now,Differentiating both the equations…

Q: Find all equations of normal line at the point (1, 1, –1) to the surface 2 +z² +3 = 2y + y?…

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Q: Q20:- Find the equation of the tangent plane and the normal line to the surface x2 + 4y2 + z2 - 2xy…

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Q: Find the equations of the tangent and normal lines x^2 + 2y^2 = 9 TL I to the line x + 3y = 7

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Q: Find parametric equations of the normal line to x2 the surface z = 4 + y? at the point (2, 3, 10)

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Q: Find the normals to the curve xy + 2x - y = 0 that are parallel to the line 2x + y = 0

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Q: Find the normal form of the line 3x + 4y – 10 = 0 and its where distance from the origin.

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Q: Find the equation of the line through the origin auel normal to the line x=y-S,2:2y-3?

A: Let ,     L1 : x-01=y-51    L2 : y-321=z-02L be the required line which passes through 0,0,0 &…