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

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 equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface.3.…

A: To find equations for the(a) tangent plane and(b) normal line at the point P on the given surface.…

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

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Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

A: Given

Q: Find an equation of the tangent plane and a normal line to the surface z = In Vx2 + y2 at the point…

A: Given that: z=lnx2+y2

Q: 3. Find the equation of the tangent plane and normal to the surface z =x? +y? + 4 at point (1, -1,…

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Q: Obtain the gradient to a curve with parametnic equations given by and y= X= In 2 2t when t-1

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Q: Find for the equations for tangent plane and normal line at P,on the given surface 2 х2 — 3ху —у? -2…

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Q: The equation of line normal to f(x) = (x +4)^(1/2) at Q (0,3) is

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Q: Find the equations of the tangent plane and the normal line at point (1,1,-2) to surface z^2 =…

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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 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 gradient of a normal line to the parabola y=x^2+5x-9 at the point (1,1)

A: In this question, the concept of slope is applied. Slope A line's slope or gradient is a number that…

Q: Find parametric equations of the normal line to the surface z = + y? at the point (2, -2,5) x = 2 -…

A: Let F(x,y,z) define a surface that is differentiable at (x0,y0,z0) then the normal line to F(x,y,z)…

Q: Find the equation for the tangent plane and the normal line at the point Po(3,3,1) on the surface x…

A: To find an equation for the tangent plane and the normal line at the point (3,3,1).

Q: Determine the equation of the normal line to the surface z2 cos(x + 2y) at the point (2, –1, 0).

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Q: 8. Find the equations of the tangent plane and the normal line to y +z – x=2 at (-1, 1, 0).

A: Consider the given equation: y2+z2-x=2fx,y,z=y2+z2-x-2 Calculate the partial derivative with respect…

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. x2…

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Q: Find equations of the following. y = x2 − z2,    (6, 11, 5) find the tangent plane and normal line.

A: According to the given information: Consider the given equation at the given point:

Q: Find the equation of the normal to the curve x2 + y2 = 5 at the point (2,1). a. y=2x b. x=y c. x=2y…

A: Given that

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: b) Find equations for the tangent plane and normal line at the point P-(2, –3,18) on the surface…

A: x2+y-2xy-x+3y-z=-7   Let fx,y,z=x2+y-2xy-x+3y-z+7 and the point is 2,-3,18 Now,…

Q: Find the equation for the tangent plane and the normal line at the point Po(3,2,3) on the surface 2x…

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Q: Find an Equation for the tangent plane and normal line at the points Po on the given surface. x +…

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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: Compute ∫C(2x+√y)ds, where Cis the curve from (0,0) to (2,4) along y=x^2.

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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 tangent plane and normal line to the function f(x,y)= \x +y at the point…

A: Please see the explanation below

Q: Find an equation of the tangent plane to the surface y ln xz2 = 2, at the given point (e, 2, 1) and…

A: Given: ylnxz2=2 at the given point e,2,1

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. 2z…

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Q: 9. Find an equation for the tangent plane and the normal line to the surface xy + yz + zx = 5 at the…

A: f(x,y,z)=xy+yz+zx-5=0,  at  (1,2,1)now we differentiate above equation with respect to x,y,z…

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(4,0,4) on the…

A: The above problem is solved.

Q: 3. Find the equation of the tangent plane and the equations of the normal line to the surface z = In…

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Q: Q1) Find equation of line normal to plane 3x + 2y - z = 5 and pass through Origin point.

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Q: Find 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 equations of normal of the curve y = 2x- x'at (2, 0). a. 2x +y = 4 b. 2x - y = 2 O C. X- 2y…

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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 the orthogonal trajectory of the curve x^2 + y^2 = 2 ln cx

A: Given query is to find the orthogonal trajectory of the curve.

Q: 4. Find the equation of the tangent plane to the level surface x4 + yz – yz² + 5x = 0 at 3

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Q: Find equations for (a) the tangent plane and (b) normal line at the point P, on the given surface 1)…

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Q: Find a curve in the xy-plane passing through the origin andwhose slope at the point (x, y) is x + y.

A: we have to find a curve in the xy-plane passing through the origin and whose slope at the point (x,…

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 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: 7.) Find an equation of the tangent plane to the surface, x y(2z-3), at the point P(4,4,2)

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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 equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. x2…

A: Consider the function fx,y,z=x2+y2-z2-18. ∇fx,y,z=fx, fy, fz=2x, 2y, -2z. At 3, 5, -4, ∇f3, 5,…

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. x2…

A: GivenSurface F(x,y,z)=x2+y2+z2-3=0Point of…

Q: Find an equation for the tangent plane and the normal line to the surface x? + 2y? – 3z² = 3, at the…

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Q: Determine the equation of the normal line to the surface z2 = cos(x + 2y) at the point (2, –1,0).

A: We have  z2 = cos(x+2y) ⇒cos(x+2y) - z2 = 0  So, F(x,y,z) = cos(x+2y) - z2  Thus,  ∇F(x,y,z) =…

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.