x + 2x – 3, that is also parallel to Find the equation of the normal line to the parabola y – 2x + 2y = 9. 15 y = x + 4

Q: Find the equations of the normal line to the surface z = 8x°y" at the point (– 2, – 1,64). y = z = -…

A:

Q: Prove that for any point (a, b) ≠ (0, 0) on the parabola y = x2 , the normal line intersects the…

A: The given equation of parabola is y=x2  For the point (a,b)≠ (0, 0), the slope of normal is and at…

Q: x+2 What is the equation of the normal line of y = at the point x = 1? 2x+1

A: Let us consider function y=f(x) The normal line of function y=f(x) at point x0 is given by formulae:…

Q: ive the Normal Equations to fit the parabola y = a + bx + cx².

A:

Q: Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y2 = 25. Find the…

A: Consider the equation of the ellipse  We know:- slope=dydx We evaluate implicit differentiation of…

Q: Find the equation of the normal line to the curve y = at a) 8x + 2y = 7 b) 2x + 8y 7 c) 8x-2y = 7 d)…

A: As we know that, The equation of the normal line to the curve at a given point is; y-y1=mx-x1 Where;…

Q: 3. Determine the coefficients a, b, c, d that will make the curve y = ax³ + bx? + cx +d have…

A: We will find the value of a, b, c, and d as following .

Q: 3. Find the equations of normal of the curve y = 2x- x-at (2, 0). Oa. 2x +y = 4 b. 2x - y = 2 C. X-…

A:

Q: a4t put Values Of the paramete a Such that all solutions of the P lem Y+ay = -at e -3 4°(+) tends to…

A: Given dydt+ay=e-aty-3  or, y3(dydt+ay)=e-at or, y3dydt+ay4=e-at  Let y4=z---(i) ⇒4y3dydt=dzdt…

Q: Find an equation of the normal line to the parabola y = x – 9x + 5 that is parallel to the line x -…

A:

Q: Find the equation of the normal line in the curve x2 − 6x + 2y − 8 = 0 at x = 3

A: We need to find equation of normal line.

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

A:

Q: What is the equation of the normal line to the curve x2 + y2 – 6x –2y=0 at (2,4)? A none of the…

A:

Q: Find an equation of the normal line to the parabola  y = x2 − 4x + 1  that is parallel to the line…

A:

Q: What is the equation of the normal line to the curve x2 + y? – 6x - 2y=0 at (2,4)? А) Зх-у+10%3D0 B…

A:

Q: Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y2 = 9. Find the…

A: Use equation of ellipse to compare then find point of tangency

Q: The equation of the normal line to the curve y = -Vx that is parallel to -6x +y = 1 (A) y + 3 = –6(x…

A: equation of curve y=-x equation of line -6x+y=1

Q: Find the equation of the sphere if one of its diameters has endpoints (3, -4, 5) and (5, 0, 11)…

A:

Q: The inclination of the normal with positive direction of x- axis, drawn at another end of a normal…

A: The inclination of normal with positive direction of x-axis, drawn at another end of a normal to the…

Q: The equation of the normal line to the curve y = -Væ that is parallel to -6x +y = 1 (A) y + 3 = –6(x…

A: Solve by equation of normal Line

Q: Find an equation of the normal line to the parabola y = x2 – 8x + 4 that is parallel to the line x –…

A: Let the equation of the normal line in the slope-intercept form is, y=mx+c where m is the slower and…

Q: PART C: Find the Orthogonal Trajectories of the given family of curves. 7. x = 3(y – c);

A: Here we have to find the orthogonal trajectories of the given family of curves.    x3 = 3(y-c)

Q: Find the equation of the normal line to the curve y = 2x - x at (2, 0). O a. 2x - y = 4 O b.x - 2y =…

A:

Q: The equation of the normal line to the curve y = -Va that is parallel to -6x+y = 1 (A) y + 3 =…

A: given,     curve y=-x is parallel to -6x+y=1

Q: A curve passes through the point (eº,0) and the slope of the normal line at each point (x,y) is…

A:

Q: PART C: Find the Orthogonal Trajectories of the given family of curves. 8. y = 4x°(1– cx);

A: We have to solve

Q: 5. The equation of the normal line to the curve 3y3 = px² – q_ is 9x + 4y = 10 at %3D %3D x = 2.…

A: follow next step

Q: 17. Determine the equation of the family of orthogonal trajectories of the the family of curves…

A:

Q: 2. Determine the normal line to the ellipse 100x² + 4y? = 100 through the point where y = ".

A: Solution: Consider the given equation of the ellipse is  100x2 + 4y2 = 100  ....(1) Put the given…

Q: 1. For the curve x²y? = 25 at (-1,-5), find the equation of the normal line. %3D

A:

Q: Find the equation of the sphere if one of its diameters has endpoints (3, 1, -5) and (5, 5, 1) which…

A:

Q: Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y² = 100. Find…

A:

Q: Consider the curve defined by the equation x(^2)+2xy+y^(3)=4. Part a: Find the local linearization…

A: Given informationDefine curved equation

Q: Q3) Detirmine tehether thi given Vecters are linearly defendont or linearly indyfenclent 4 3. -3 6.…

A: These are linearly independent.

Q: Find the equation of the normal line to the parabola y=x^2+2x−3, that is also parallel to −2x+2y=9

A: Given that normal line to parabola is parallel to -2x+2y=9. Slope of the line -2x+2y=9 is -…

Q: Find the equation of the normal line to the curve y = x3+ at (1, 4). O a. y = 4 O b.y = -4 OC.x = -1…

A:

Q: The equation of the normal line to the curve x^2 + y^2 - 6x + 10y + 29 = 0 at (2, -3) is 2x + y = c.…

A:

Q: Find the equation of the normal lines to the curve y=x^3-2x+1 that is perpendicular to the line…

A: Consider the given equation of the curve as y=x3-2x+1. Differentiate with respect to x we get as…

Q: What is the equation of the normal line to the curve x2 + y² - 6x - 2y=0 at (2,4)? A x+3y- 10 = 0…

A:

Q: 3. Suppose you estimate a regression model with two regressors Y; = X1:B1 + X2;B2 + €; You obtain…

A: Given data An estimated regression model with two regressors Yi=x1iβi+x2iβ2+zi And given parameter…

Q: (b) Classify the equation t - 2ty +2y =t, t> 0. What order is it? Is it linear or nonlinear? Is it…

A:

Q: Find the general equation of the orthogonal trajectories of the curves for the given equations. The…

A: The given equation of the curve is y=ccosxTo find general equation of the orthogonal trajectory

Q: The height of a rider on a Ferris wheel can be modelled by the sinusoidal regression function h = 6…

A: Given that The height of a rider on a Ferris wheel can be modelled by the sinusoidal regression…

Q: Find the normal form of the line 3x + 4y – 10 = 0 and its where distance from the origin.

A:

Q: 2. For the curve y = x3 + 2x² + 4 a.Solve the normal line at point (-2,4) b. Locate the possible…

A:

Q: Find an equation of the normal line to the parabola y = x² – 7x + 1 that is parallel to the line x –…

A: