Find an equation of the normal line to the curve of y = x that is parallel to the line 6x + y = 1. y =

Q: Find the Equation of the tangent line and the normal line for the following function: x* - xy + y =…

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Q: Find the equation of the tangent line and the normal line of the curve at given point:

A: Given, The curve y2 = x34-x We have to find equation of the tangent line and normal line to the…

Q: Find the slope of the normal line for the curve given by e* –2y=cos(y)-2x at the point (0,0).…

A: Please refer the attached image for complete solution.

Q: What is the equation of the normal to the curve x^2 + y^2 = 25 at (4,3)? *

A: Given curve :

Q: Write an equation for the normal to the curve f (x) = 4 - x2 at x =1.

A: fx=4-x2,   x=1 Differentiating with respect to x, we get f'x=0-2x=-2x Now slope of the normal at x=1…

Q: Find the tangent line and the normal line to the curve at the given point.          x2y2 = 25,…

A: x2y2 = 25,      and the point (-1,5)

Q: Find an equation of the tangent line and normal line to the curve at the given point. y = (2x)/(x2 +…

A: Given :          y=2xx2+1     1,1

Q: Find an equation of the normal line to the curve  y = x  that is parallel to the line  4x + y = 1.

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Q: 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: Show that the slope of the normal line to the curve y = 5 /(3-7x)^3 is never positive.

A: Given the equation of a curve is y=53-7x3. This can be written as y=53-7x-3. Differentiating it:…

Q: The line is tangent to the curve y=x2−3 at (2,1). What is the equation of the normal line?

A: On solving this we will get

Q: find an equation for the tangent line and the normal line to the curve y = x sqrt x^2+1 for the…

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Q: Find the equation of the normal line to curve y²-xy-4 = 0 at the point where y = 2

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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 an equation of the normal line to the curve y = x4/4 +16/x4 at (-2,5)

A: Given: y=x44+16x4 for finding equation of normal at given point x1,y1, we slope m of normal at given…

Q: Find the equations of the tangent and the normal of y = 3x2-2x+1 at point (1,2).

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Q: write an equation of the normal line to the curve y=x^3-3x+1 at the point (2,3)

A: To calculate the equation of the normal line to the curve, first we need to calculate the gradient…

Q: Find the equation of the tangent line and the normal line of the curve at given point: 1. y? = ,…

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Q: Find the equation of the tangent line and the normal line at the p corresponding to the given value…

A: Let's find equation of tangent line and normal line.

Q: The equation of the tangent line and the normal line to y = x² – 4x +

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Q: What is the slope of the normal at point A(1:1) of the graph of the function y = (x - 2)^2?

A: Slope of normal

Q: What is the point on the curve at which the normal line is parallel to the line Y = - 3X + 6? (The…

A: The function is given by y = 2x+1 The equation of the line is y = -3x+6 To evaluate: The point on…

Q: Find an equation of the normal line to the curve y = Vx that is parallel to the line 6x + y = 1. y =

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Q: Find the equation of the normal line at the point indicated. y= 3x^2-2x+1 at (1,2

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Q: What is the slope of the normal line to the curve y= In(xª + 1) at x=1,

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Q: 3. Find the equation for the normal line (perpendicular to the tangent line) to f(x) = 2x3 – 2x at x…

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Q: Find an equation of the normal line to the parabola y = x 2 - 5 x + 4 that is parallel to the line…

A: Given:       y=x2-5x+4 is parallel to the line x-3y=5.

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. 4x? + 9x?…

A: The given equation,     4x2+9x2=25, 2,-1

Q: Find the equation for the normal line (perpendicular to the tangent line) to f(x) = 2x3 – 2x at x =…

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Q: Find an equation of each normal line to the curve y = x³ – 3x that is parallel to the line 2x + 18y…

A: Solve the above question.

Q: Write the equation of the normal drawn from the point (1, -2) on the circle x²+y²-4x+6y+11 = 0

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Q: Find the equation of normal to the curve y = 2x – 4x² +x- 6 at point (2,–4)

A: Given y=2x3-4x2+x-6 and point is P(2,-4)We need to find the slope i.e. y'dydx=ddx(2x3-4x2+x-6)We…

Q: Find an equation of the normal line to the curve y= sqrt(x) that is parallel to to the line 2x+y=1.

A: The equation of the curve is y=x and the equation of the line parallel to the normal line is 2x+y=1.…

Q: Find the equation of normal line to the curve at the given point х3+ у3 - 6ху (3, 3)

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Q: Find the normal and the tangent line at y = x³ – 7x + 6 at the point of intersection with the…

A: Giveny=x3-7x+6y=x3-4x-3x+6y=x(x2-4)-3(x-2)y=x(x-2)(x+2)-3(x-2)y=(x-2)x(x+2)-3y=x-2x2+2x-3y=x-2x2+3x-…

Q: Determine the equation of the normal line to f(x) = 9/x2 at x = 3

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Q: Find the tangent line and the normal line to the curve at the given point. x2y2=100, (2,5)

A: Differentiate both sides w.r.t. xUsed product rule and chain rule on the left side.

Q: Identify the equation of the normal line to the graph of the equationy = 4/x2 at point (2,1)

A: I have appended the formula used in the solution part.

Q: at x= - 2 Given : x-Xy + 2y -3 = 0

A: Given : The equation of curve x2 - xy + 2y - 3 = 0  To find the equation of the tangent and the…

Q: The slope of normal line (perpendicular to the tangent line) to the graph + = 3 at the point (1,1)…

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

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

Q: 8. Write the equation of the normal line to the curve In x+ ye =-e at (1,-1) in slope-intercept form…

A: Equation  of normal line y-y0= 1/(-dy/dx) (x-x0)

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. x? + y? -…

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Q: Find the equation of the Normal Line to the curve y² = X at (4, 2)

A: Given that,Equation of the curve is y2=x We need to find the equation of the normal line to the…

Q: normal line he

A: we have to find the equation of normal line here in the given equation.x3+y2+2x=6  at P=(-1,3)

Q: Find the equation of the normal line to the curve 2x/y - 3yvx + 5xy = 22 in the point (4, 1).

A: Given,         The curve is 2xy-3yx+5xy=22 in the point 4,1.