(1) A Curve with 21) = (2,2,1), 2(1)=(0,2,2). Find K(I), BI1). %3D

Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

A: We have to find the value of x if dydx=6x2-2x and the curve passes through the point (1,5).…

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 orthogonal trajectories for the family of curves 6x² + y² -9ax=0.

A:

Q: 5. Find the equations of the tangent line and normal line to the parabola y = 2x² at the point…

A: Since, you have asked multiple questions , according to our guidelines we are supposed to answer…

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: Which is the linear differantial equation into which the Bernolli differantial equation transforms

A:

Q: 5. Find the equation of the tangent and normal line of 2x+1 y = at point (1,1). x+2

A: A detailed solution is given below     (As per our guidelines, we have to solve only one question)

Q: Find the slope of the tangent line to the graph at the given point. (x² + y2)² = 4x²y, (-1, 1)…

A: Given equation :x2+y2=4x2ywe have to find the slope of the tangent line at -1.1

Q: 4) Find the orthogonal trajectories of the family of curves

A:

Q: 4. Find the orthogonal trajectories of the family of curves y= Ce“ + 10

A: Here we have to find the orthogonal trajectories

Q: Find the equation of the tangent line at the given point on the curve. 3y² - Vx = 44, (16,4)

A:

Q: (6) Find the orthogonal trajectories of the 3C cos 0, where C family of curves r being parameter.

A: Answer

Q: The Normal to the curve 2x² – y² = 1 at the point (1,1)

A:

Q: Find the equation of the normal line to the curve x3+y2+2x−6=0 at the point (−1,3).

A:

Q: 2. Find the equations of both the tangent lines to the parabola y through the point (3, 16). :-

A:

Q: The point on the curve y=vx+2 which is closest to the point (5,2) is

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: 1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

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

A:

Q: Find the tangent and normal line to the curve at the specified condition. 12x2 - 20y2 = 55 parallel…

A: Given that the curve is 12x2-20y2=55 and the required tangent and normal line is parallel to the…

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

A:

Q: 1. Find the slope of the curve x+ y² -6x-4y-21 0 at (0, 7). Compute also the tangent line and normal…

A: ## According to bartleby guidelines we supposed to do first question of multiple questions so kindly…

Q: 4. Find the orthogonal trajectories of the family of curves y = Ce* +10

A: Given that : y = Ce2x + 10

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

A:

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: Find the slope of the tangent line to the curve cos(3x−3y)−xe−x=−7π2e−7π/2 at the point (7π/2,3π).

A:

Q: 1. Find the orthogonal trajectories of the given family of curves: Circles through the origin with…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 7. Find the slope of the line tangent to the curve at the point (2,1). x²y + xy² = 3x %3D

A: 7. The equation is given by x2y+xy2 = 3x                                                ......(1)…

Q: Find an equation of the tangent line to the curve 2(a2 – y²)² = 25(x² + y²) at %3D (3, 1)

A:

Q: 5. Find the orthogonal trajectories for a family of circles tangent to the at y-axis.

A: Here we have to find the orthogonal trajectories for a family of a circle tangent to the x-axis and…

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

A:

Q: Find equations of the tangent and normal line to the curve y (2x+1) %3D at x=2. (3x2-2)

A:

Q: Find the length of the curve for 12x = 4y³ + 3y-¹ where 1 ≤ y ≤ 3 Enter your answer in exact form.…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 4.9x – x², (3,5.7) - y =…

A:

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

A:

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

A:

Q: slope of the tangent to the curve y2x+ y2x2 =6at (2,1) is

A:

Q: 2. Find atax

A: The symbol ∂2v∂t∂x is the symbol of partial differentiation. Differentiate the given function v…

Q: Find the orthogonal trajectory of the curve x^2 + y^2 = 2 ln x

A: See the details solution in below

Q: 2. Find an equation of a curve satisfying the ff. condition and passing through the point (0, -1).

A: dxy-dy1+x3=0A first order separable ODE has the form of Ny·y'=MxLet y be the dependent variable.…

Q: 6) Find the orthogonal trajectories for the given families of curve 3x - y = c.

A: To find orthogonal trajectory first differentiate with respect to x then remove constant then put…

Q: 3. The normal line to the curve y = f (x) = 2x² at a point in the first quadrant passes through the…

A: Question is solved.

Q: 1. Find the orthogonal trajectories of the family of curves y³ = 3(x – c). Draw a few representative…

A: The orthogonal trajectories are the curves that are perpendicular to the family everywhere.

Q: 7-The tangent of the curve x^2+y^2- 2XY3D0 at the point (1,1), is *

A: Given,           The curve is x2+y2-2xy=0 at the point 1,1.

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 orthogonal trajectories of the given family of curves x^2 + y^2 = c^2. *

A: Curves:  x²+y²=c²

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 equations of the tangent line and normal line to the curve y = (2 + x)e¬* at the given…

A: We will find out the required solution.

Q: The curve defined by the equation x^2+y^2=(2x^2+2y^2-x)^2 is called a cardioid. Find the equation of…

A: consider the given equation, x2+y2=2x2+2y2-x2 Use implicit differentiation method and differentiate…