Find the two points on the curve (xy)² = 2 – xy where the slope of the normal line is I.

Q: Find the condition that the line ax+by=1 may be a normal to the curve an-1y=xn

A: To find the condition of line ax + by = 1 which is normal to the curve a^(n-1) y = x^n

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

A:

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: Find the equation of the tangent and normal line to the curve y=x2 at x=1

A: Tangent is a line to the curve that just touches the curve at a particular point. Normal is a line…

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: Find the tangent and normal line to the curve at the specified condition.  y = x ( 4x - 1 )2 at…

A: The tangent line is a straight line to the curve that touches the curve at a single point. The…

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

A:

Q: 2. y2-xev-1+ x = 7 at (2,1)

A: Solution:Giveny2-xey-1+x3=7   at (2,1)To find the equation of normalFormula:Equation of…

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

A:

Q: Y = ( ***)3 x+1 at x = 3 x-1

A: the equation of the given curve is: y=x+1x-13 the given point is x=3 we have to find the equation of…

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: Find the equation of the normal line to the indicated curve at the given point. y= 3-5x, (2, -37) I

A: Given,  y=3-5x3, (2,-37) Let y=f(x)

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

A: Given curve , y=x2-x-2 we have to find the equation of the normal to the given curve at the point…

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

A:

Q: Find the equation of the normal line to the curve y=1-x³ at x=-1. sketch the graph.

A:

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 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: 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 normal line to the given curve at the specified point. y =…

A: The given equation is,

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: 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: Find the equation of the tangent and normal line at the point indicated. Sketch the curve. у %3 х3 —…

A:

Q: Find the equation of tangent and equation of normal to the 1 |curve, (Зк -1)° – 3xy=5 – 8y³ at the…

A: As a first step we need to find the slope of the curve i.e. dy/dx at the given point (1,1)…

Q: At what point of the curve y = x* is the normal line parallel to 2x + y = 3? 2 16 ㅇ (, ) (뚜 든) 이 o…

A: To find  The point of the curve y=x^4 is the normal line parallel to 2x+y=3.

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

A:

Q: What is the normal line to the curve 9x2 +4y2 = 36 at (0,3)? (А) у-2-0 B X+1=0 Cy-axis D X- axis

A: We need to find the normal equation of the at (0,3).

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

A:

Q: Find the equations of the tangent and the normal lines to the curve x5 + y5 = 4 x2y2 at the point…

A:

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

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

A:

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

A:

Q: Find the condition that the line ax+by=1vmay be a normal to the curve an-1 y=xn

A: follow next step

Q: Find an equation of the normal line to the curve y = x1/2 that is parallel to the line 2x + y = 1.

A: To determine a normal to the curve which is parallel to the given line

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

A:

Q: Find the equations of the tangent and the normal at the point indicated. y = x2 - 2x at its…

A: Given that - y = x2 - 2x at its points of intersections with the line y = 3

Q: Find the normal to the curve y = 1 - x2 at the point (3, -8).

A:

Q: find the equation of the Tangent and normal line of the function y3 +3xy + x4 =5 at the point (1,1).

A:

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: Q-2- Find the eAuation of the tangent line.and the normal line for the fallowing function X = 0-…

A:

Q: x+2 3. y = ( X-2 at x = 1

A:

Q: FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 2.…

A: Given: x2y3-2xy=6x+y+1 To Find: Equation of the tangent line and normal line of the given curve at…

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

A: To find the normal to the curve.

Q: Find the equation of the normal to the tangent line for the equation x'y+ xy² +x² + y² = 0 at the…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Find the equation of the normal line to the curve y=x3+ex at x0=0.

A:

Q: Find an equation of the tangent line and normal line to the curve at the given point. y = x* – 2e*,…

A: Given curve is y=x4-2ex. To find the equation of the tangent line and normal line to the curve at…