Consider a system defined by the ordinary differential equation (ODE) dy(t) c) dy(t) du(t) -2- -48y(t) = (1+ 0. X) + (2 +0. Y)u(t) dt2 dt dt where X and Y are the last two digits of your student number. The input signal is a unit step function. The initial conditions are defined as y(0") = 1 and y(0-) = 2. For example, if your student number is c1700123, then the ODE is d'y(t) dy(t) 2 dt du(t) 48y(t) = 1.2 + 2.Зи (() dt %3D dt? Obtain the zero-input response of the system Obtain the characteristic polynomial

Q: x+4y=6, -2x+y=-3

A:

Q: y=2x-1

A: Graph

Q: y²=5x

A: When we will compare it with y²= 4ax then we get a=5/4  Vertex of above parabola (0,0) Focus (a,0)…

Q: 6x+7 = y

A: We have to find x

Q: 2x+y=6 x=-5y+3

A: Here given that: 2x+y=6 x=-5y+3 we  have to solve the system

Q: 4 -2x + y = 3

A:

Q: 2x+y=20 6x+5y=12

A: Solve by elimination method

Q: x+2y-z = 4 3x-y+z=5 2x+3y+2z=7

A:

Q: Y+4=15

A:

Q: write answer as fraction -(1/2)^3

A: We know , (a/b)n = an/bn

Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit…

Q: x - 2y = 10 3x + y = -12

A:

Q: y=4x-1

A:

Q: Y=x+1 2x-2y=8

A: y = x+1 ...i  2x - 2y = 8  -> y = x -4 ...ii

Q: Y= -2/3x + 5

A:

Q: Y=2x+5 and x=-3

A:

Q: 5x+y=3

A:

Q: 2x+3y=6 2x+y=-2

A:

Q: y = x + 6 y = -2x - 3

A:

Q: Y=3x+4 X 2x+4y=-4

A: The objective of the question is to solve the system of equations for the variables x and y. The…

Q: y=3x-4 2x-3y=-9

A: Find the value of x and y

Q: X-2y=12

A:

Q: y=4x-1 8x-2y=9

A: To solve the following system of equations.y=4x-18x-2y=9

Q: y = 8x - x2 y = 16

A: We first sketch the region using a graphing calculator. Shaded region is rotating about the y axis.

Q: x=-2 x+3y=4

A: Given: x=-2 and x+3y=4 To find the value of y, we need to substitute x=-2  in x+3y=4.

Q: y+6=20

A: Just subtract 6 from both sides and you'll get value of y.

Q: y = x2 y = -2x4 -24

A:

Q: 2x when x = 12 and y = -3

A: Given expression 2xy

Q: y = 3x + 2  6x - 2y = 8

A:

Q: 6y²=7y+20

A: Given: 6y2=7y+20

Q: 4x+6y=24 y=?

A: Consider the equation

Q: x+y=7

A:

Q: y = -2 y = 4x + 6 9+ Xt

A: The system of linear equation is y = -2 y = 4x + 6

Q: y=-4x+6;x=1

A: y=-4x+6;    x=1

Q: x+y=7 2x-y=8

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.