Find an equation of the normal plane of the curve at the given point. x=sin(2t), y=-cos(2t), z=4t; (0,1,2pi)

Q: Find the distance between the origin and the normal to the curve y=e2x+x2 at the point where x=0…

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Q: 7. For the curve y = x2 + x, at what point does the normal line at (0,0) intersect the tangent line…

A: Find the slope of the tangent at (0,0): m=dydx=2x+1=20+1=1

Q: 5.Find the equation of tangent and equation of normal to the curve, 1 -3xy 5-8y' at the point (1.1).…

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Q: Consider the curve defined by z² = e²-v for z>0. At what value of z does the curve have a horizontal…

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Q: Find equations of the tangent line and normal line to the given curve at the specifie 3x y = (1, -)…

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Q: Given xy + cos(xy) + 3x = 1, answer the following: Write the equation of the normal line to the…

A: Given,            xy + cos(xy) + 3x =1

Q: (b) Find the equation of the normal to the curve 4x +2y 10xy at the point (1.2). %3D

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Q: Find equations of the tangent and normal line to the curve x? – xy – 3y2 = -4 at (1,2).

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

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Q: ) Find the equation of the normal to the curve y(x+1) = x²+2y at x = -1

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Q: v = (3t - x)e-2t

A: v=3t-xe-2t Partially differentiating with respect to t, we get…

Q: Find the equations of the tangent and the normal at the point indicated.   a2y = x3 at (a, a).

A: To find the equation of tangent and normal at the given point.

Q: The equation of the normal to the curve f(x) x2 - 5 at x = 2 is (a) y = -1/4(x+2) (b) y =…

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Q: Find the equation of the normal to the curve y = In(x² -8) at the point where x=3.

A: given curvey=ln(x2-8)y co-ordinate at x=3 isy=ln(32-8)=ln1=0hence co-ordinates are (3,0)slope of…

Q: Find the equation of the normal to the curve of y = tan at x = 3.

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Q: Identify the equation of the normal to the tangent line at the point (3,3) for the equation xy-9=D0…

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Q: 1. For the curve x2y2 = 25 at (-1,-5), find the equation of the normal line.

A: The given curve is: x2y2=25 Differentiating it with respect to x: y22x+x22ydydx=0 at (-1,-5):…

Q: Let f(x) =- 3x – cos-1(x), then the equation %3D of the normal line to the curve at the point (0,0)…

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Q: Find the equation of the tangent and normal to the given curve at the given point. 1. 2x +3y 5 at…

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Q: (b) Find the equation of the normal to the curve 5x² +4y = 12xy at the point(2,1).

A: Given: 5x2+4y3=12xy, at point2,1 For finding equation of normal at point2,1, we need to find slope…

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A: Explanation of the solution is given below..

Q: Consider the following. x = sin(2t), y = -cos(2t), z = 8t; (0, 1, 47) Find the equation of the…

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Q: Find the equation of the normal line to the curve y=arccot1x at x=1.

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Q: Find the equations of tangent and normal lines of the curves at given points: y²-3xy - x = 0 at(2,8)

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Q: 11. At what point(s) of the curve xy = (1 – x – y)? is the tangent line parallel to the x-axis? Give…

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Q: Find the equation of the tangent line and the normal line of the following curves at the given point…

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Q: 23. Find the normal to the curve x2 + y² = 25 at (4,3). %3D

A: Find the normal to the curve

Q: What is the equation of the normal line to the curve y = cos æ at the point (6,0) ... A y = -x +; 2…

A: Given:- y = cos(x)  To find:- Equation of normal line on given curve at point (π/2 , 0)

Q: Prove that the segment of the normal to the curve x = 2a sint +a sint cos't, y = -a cos't contained…

A: First find derivative then equation of normal line ,and point of coordinate axes and then use…

Q: 1. Find the equations of the tangent line and the normal line to the curve y = V4x – 3 at the point…

A: 3) Given curve : y=4x-3 To find: The equaton of the tangent line and normal line to the curve y=4x-3…

Q: f(x,y) = 4x² + y² + 2 at the point wherex = 1 and y = 1.

A: The equation of the tangent at point (1,1) is: z=f(1,1)+fx(1,1)(x-1)+fy(1,1)(y-1)

Q: Find the slope of the curve and equations of the tangent and normal to the curve at the given point.…

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Q: The curve y : in (3x - K) crosses the at and the equalion of the at this point Find the value of K…

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Q: Find the equations of the tangent and the normal at the point (2,2) at x² – 2xy + y² +2x + y - 6 = 0

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Q: Find y"if z - y = 9. Find the equations of the tangent and the normal to the curve r- zy + 2y- 2 0…

A: Given  x2-y2=9.   We have to find y''.   We have to find the equations of the tangent and the…

Q: Given: v = (3t - x)e-2t Find: (a2v)/(at2)

A: The multiplication property of derivative:                    ddxu.v =udvdx + vdudx

Q: Q7// Find tangent and normal equations of the curve x³ + y3 – 9xy = 0 at points (4,2) and (2,4).

A: The slope of a curve at the point (x1, y1 ) is given by;…

Q: 1. Find the equation of the tangent line and normal line to the given curve at the specified point.…

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Q: Find the equations of the tangent and normal lines to the graph of  (x^2 + y^2)^3 = 8x^2y^2 at…

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Q: I Find the equations of tangent and normal lines of the curves at given points: a. x3 + y2 – 3xy = 0…

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Q: 5. What is the slope of the tangent line to the curvex²e-2x - y = 0 at the point (-1, e2²)?a. a. 4…

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Q: 2. Find the equation of the tangent and normal lines at a given point on the curve. x²y² – 10y + 8x…

A: the equation of the given curve is: x2y2-10y+8x=0 the given point is (2,4) we have to find the…

Q: Find an equation of the tangent line and an equation of the normal line to the curve y = In(x² + y²)…

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Q: Let f(x) = 3x cos-1(x), then the equation 2 of the normal line to the curve at the point (0, 0) is…

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Q: .Determine the equation of the normal to the tangent line at the point (2,1) for the function…

A: Given : x2+4xy+y2 = 13

Q: (b) Find the equation of the normal to the curve 3x² +2y³ = 7xy at the point(2,1)

A: 3x2+2y3=7xy;(2,1)