5. Find the equation of the normal line to the curve y=x-2x+6 at the point (0,6).

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

A:

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: 1. Find the equation of the tangent and the normal line for the equation at the given point below: y…

A: Given, y=x3-6x+2 at the point (2,-2)

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: 2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

A:

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 = 2x' - x' +x+1 when x =1

A:

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

A:

Q: find the equation of the normal line to the curve y=x^3 + 3/x at (1,4)

A: Solution ) Normal line is perpendicular to the tangent line  So first find slope of the tangent line…

Q: Find an equation of the normal line to the curve y = vx-3 which is parallel to the line 6x + 3y-4 0.

A:

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 line to curve y²-xy-4 = 0 at the point where y = 2

A:

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 line to the curve x3+y2+2x−6=0 at the point (−1,3).

A:

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

A:

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

A:

Q: What is the equation of the normal line to the curve 2x3-2y3-9xy=2 at the point (0,1)?

A:

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

A:

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

A:

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

A:

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

A:

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

A:

Q: 6. Where does the normal line to the curve y = x - x² at the point (1, 0) intersect the curve a…

A: Topic = Functions

Q: Find the equation of the normal line to the curve y=(1+2x)^2 at (2,25)

A: Equation of a normal line to the curve y=f(x) at point x1,y1 is given by y-y1=-1dydx(x1,y1)x-x1.…

Q: Find the equation of the normal line at 2 x = 0 to the curve, y + 0. x – 3 %3D -

A: Given: Equation of the curve…

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 THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1.…

A:

Q: Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

Q: What is the equation of the normal line to the curve 2x3 +2y³ – 9xy = 2 at the point (0,1)?

A:

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

A:

Q: At the point (3,5), find the equation of the normal line to y = 4 – x²

A: Given that, The curve is foloowing, y = 4 - x2 We have to find the equation of noemal line to the…

Q: Find the equation of the normal line to the curve y= 2x -x+4 at point when x=1.

A: The solution is given as

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: 2. Write the equation for both the tangent line and normal line to the curve y = (x – 1)/( + 1) at…

A:

Q: 7. What is the equation of the tangent line and the normal line to y = x² – 4x + 2 at (4,2)…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: Find the equation of the normal line for the curve y = -x3 + 3x2 + 4 at x=1

A:

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 line to the curve y=x3+ex at x0=0.

A:

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 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: Find the equation of the normal line to the curve y = 3x^2 – 2x + 1 at P(1, 2).

A: Topic = Application of Derivative

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.