Find the general solution of the lines Зу + 2 y - 2 )dx + ( 2x -+ 1 )dy = 0 4 2

Q: Orthogonal Trajectory: 1. x^2+4y^2= C 2. y^2= Cx^3-2

A: The orthogonal trajectory is a curve that intersects each of the family's curves at a right angle. A…

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: We have to find arc length L= ∫ab1+dydx2dx

Q: What are the coordinates of the points in the graph of y² –x²+ 6x – 13=0 in which the tangent line…

A:

Q: What are the equation of line passing through (-1,3) that is tangent to the curve x^2 + 4y^2 – 4x –…

A:

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: The function that depicts the path of quadcopter is as follows:…

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

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: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

A:

Q: Determine the equation of the line tangent to the curve (x+y)^7 = x^7 + y^7 (x+y)  at (−1,1).

A:

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A:

Q: Obtain the general solution using variation of parameters y''+y = (csc³x) (cotx)

A:

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: The function that depicts the path of quadcopter is as follows:…

Q: Parallel to x + 2y = 0; (1, 2) on line

A: To find the equation of line paralley to x+2y=0 and (1,2) is on the required line.

Q: Find the line tangent to the curve x 3 + y 3 4 at the point (-3/3, –1). V3 y = 3 x – 4 V3 4 - 3 -V3…

A:

Q: Find equations of both lines through the point (5, –6) that are tangent to the parabola y = x2 – 3x

A: topic - equation of tangent to curve

Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

Q: b) Find equation of line passing the point ( 4, -1) and normal to 3y+ x=1. ||

A:

Q: Find the equations of the tangent line and normal line to the parabola y=2x2 at the point (2,8).

A: We find dy/dx at x=2 to find the slope of the tangent  Then we use the point-slope formula to find…

Q: Find two positive numbers whose product is 750 and for which the sum of one and 10 times the other…

A:

Q: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

A:

Q: Find the equation of the tangents: y=x² + 6x² + 10x + 8 parallel x-y= 2. to the line А.…

A:

Q: Find the equation of the line through the point (2, 5) that cuts off the least area from the first…

A:

Q: 9. at the point (-2,1) Find the equation of the line tangent to y = 2x2 + 1

A: We will find the equation of the line tangent in the following step.

Q: A few years ago, there were light sabre battles. What is the distance between two light sabers given…

A: Solution of this question is

Q: Evaluate S(z² + 3z)dz along the straight line from (2,0) to (2, 2) and then from (2, 2) to (0, 2).

A:

Q: What are the coordinates of the points in the graph of y – z² + 6z – 13 = 0 in which the tangent…

A:

Q: The equation of the line with gradient 3 which passes through the point (1, -4) is: O y = 7x – 3 O y…

A:

Q: The curve y=ax²+bx+c passes through the point (2,28) and is tangent to the line y=4x at the origin.…

A: Given, y=ax2+bx+c

Q: Obtain the particular solution for: 2y" +2y=2sinx y(0)=0, y'(0) =1 By using method of variation…

A:

Q: VAy 5-y-z 15z dz dz dy 2y2 2-y-

A: SOLUTION-

Q: Find equations of all lines having slope −3 that are tangent to the curve y=3/(x−4)

A: Equations of all lines having slope −3 that are tangent to the curve y=3x-4

Q: 11. Perpendicular to 5y = 2x – 6 and passes through the point (-1, 5)

A: Given, The line is perpendicular to 5y=2x-6 and It is passing through the point (-1, 5). Concept…

Q: (1 - V2) dt 44. 46. (2z – 3) dz - 3

A:

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: The given path as y=fx is y=2.15+2.09x−0.41x2 for 0≤x≤3.6. The arc length is calculated by…

Q: ber of linearly

A:

Q: Solve: sec x = V2 + 2πkk e Z U + 2π시k E Z 3. + 2πkke z 2Tk k EZ 4. 4 + 2rk|k € Z 3 + 2rk|k E Z 3. of…

A:

Q: (2)If ø = xyz – 2 y²z+x²z?. Find div grad ø at points (2,4,1)

A: Given that        Φ =xyz-2y2z+x2z2  Here we have to find div grad Φ at points (2,4,1).

Q: Find the equation of line passing through (5, 8) and perpendicular to y - axis. Oy = 5 Oy= 3 Ov=0 Oy…

A: The general equation of the straight line is: y=mx+c Now, the slope of the y-axis is infinity. So,…

Q: The equation of the line with gradient 4 which passes through the point (1,2) is: O y = 2x – 4 y =…

A: Equation of line can be taken as y=mx+c

Q: Find the equations of all tangent lines to the curve x2 + 4y² = 8 that pass through the point…

A: Given curvex2+4y2=8Differentiate above curve w.r.t…

Q: A heat-seeking particle is located at the point (2,3) on a flat metal plate whose temperature at a…

A:

Q: 17. The line with equation y = 2x b where bis a constant, passes through the point (3, 6). What is…

A: When a line passes through a point then the coordinate  values of the point must satisfy the…

Q: Find the equation of a Tangent line to y = 2x2 – 5x – 1 that is parallel to line x + y –

A:

Q: 2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point (1,-2)? 3. What is…

A: In 2 we need to find the slope of the line tangent to the given curve at a point.  in 3 we need to…

Q: Differentiate x²y3 - y2-6x=0 with respect tox. A 3x²y2-2y −6+2ху 3 2х3у2-2y - 6 6-2xy3 3ху2+у В С D…

A:

Q: Use Cramer's rule to solve for y. 5x + 4y + 4z = 39 4x +3y-2z 15 4х - 5y - 4z%3D -15 |

A:

Q: find the first and second derivatives w = 3z7 - 7z3 + 21z2

A: Given the function, w = 3z7- 7z3 + 21z2 Differentiating with respect to "z" dwdz =…

Q: We called a nonlinear dif ferential equations if the dependent variables and their derivatives are…

A: We will look at the definition of non linear differential equations to answer this

Q: Evaluate B: А: Vye-y° dy 3e-4z2 dz 0, 0,

A: There is a general integral that gets calculated with the help of β function. The integral is…