4. An elliptical track has a major axis that is 80 yards long and a minor axis that is 72 yards long. Find an equation for the track if its center is (0, 0) and the major axis is the x-axis. 72 = 1 80 x2 1296 1 1600 y2 1 72 %3D 80 x2 = 1 1600 1296

Q: Under what conditions is yb+6c perpendicular to a? What does this say about the coefficients of b…

A:

Q: Consider the LP problem below: Max P= 12x + 10y Subject to: 4x+3y =0 Which of the following is not…

A: We draw the constraints in x-y plane to find our feasible region and corresponding extreme points…

Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

A:

Q: Find the general solution to the given Euler equation. Assume x > 0 4x2y" + y = 0

A:

Q: 2.2 The value of xe*dx by using the two-point Gauss quadrature is most nearly 0.2 (A) 11.672 (B…

A:

Q: In a mechanical system, acceleration a , velocity v, and distance S, are related by the simultan…

A: Given equations are 4.8a - 12.6s + 6.5v = -13.9    → (1)5.2a + 4.7s - 3.6v = 6.8          →(2)-3.3a…

Q: Find a general solution of the equation: 5xy' = 2 – y %3D

A: Please find attachment for the details solution

Q: Use separation of variables and find (if possible) product solutions for the following PDES : 1. ux…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Consider the following 3 dimensional equation 3ェる Write down implicit difference equation for above…

A: Considered the 3-dimensional equation, i.e ?2p?x2+?2p?y2+?2p?z2=?p?t…

Q: 4(a) Verify that the equation y = In(*/y) is an implicit solution of the IVP, %3D ydx (xy + x)dy…

A:

Q: Post Question 2 Find y if (y + 3y + 2y = e3 + e* + 5)

A:

Q: 1. Get the following equations in "y =" form: 4y + 7 = 3x and 4х + Зу %3D 9 Format Font | Size •BI 口…

A:

Q: Solve the following Euler-Cauchy type equation: 1 (2²D² + 3xD+ 1)y %3D (1 – x)²'

A: The given ODE is given as: x2D2+3xD+1y=11−x2

Q: The figure above shows a three-particle sys- tem, with masses mị and m3 = 8.0 kg. The scales on the…

A:

Q: The equation 5z + zy = C is the general %3D Sz- 10 - A 10

A: The general solution of the differential equation: - A differential equation is an equation that…

Q: 4.7.4. Find the extreme values taken by f(x, y) = xy(4x² + y² – 16) on the quarter-ellipse E = {(x,…

A: The given problem is to find the extreme values of given function in the given region of 1st quarter…

Q: Suppose that f(t) = e (1−2i)t is a complex solution for an unknown second-order linear equation…

A:

Q: 2/3 • 9. 10. Given: CH bisects ZDHG , (21x-9) mGF = (2x + 6), and mDC = (7x-1). %3D %3D 27 G

A:

Q: 1. Consider the following equations. (a) Yi = B1 + B2T; + Ej (b) yi = B1 + B2r; + €; (c) ŷ; = ß1 +…

A: Disclaimer: As the question has multiple parts, only first three will be answered.   Consider a…

Q: I Find a particular solution to y" + 4y' + 3y = 3te*. %3D Yp =

A: Solution:-

Q: The ADL(p, q) model is represented by the following equation: A. Yt= Bo + B₁ Yt-1 + B₂YE-2+...+…

A: We take two variables. 1.  Dependent 2.  Explanatory In ADL model,   Regressors may include( lagged…

Q: Given: 4 x2 + 9 y² + 16x – 18y = 11 Find: 1) Length of Major Axis 2) Vertices

A: First write in standard equation of ellipse then solve

Q: Find the solution to the following initaY value problem y" – 2y + 2y = 0, y(0) = 2, y' (0) = 3. %3D…

A: Given IVP is  y"-2y'+2y=0.....(1) with initial conditions y(0)=2,y''(0)=3

Q: Solve the equation Ax=b by using the LU factorization given for A. 2 -5 2 2 -5 2 8 -6 12 - 1 -3 10 O…

A: Given,A=2−52−612−14−70LU factorization of A is−A=LU=100−3102−112−520−35001b = 8-124Let, x = x1x2x3…

Q: 3. Which equation passes through the point (1, -2) and is perpendicular to y = x O y = 3x - 1 O y =…

A:

Q: At the point AI 2.4) was rotated counterclockwise A. LTS image would be located at 13 A'L 4-2) (21…

A: Let us take a random point x,y. If x,y is rotated counterclockwise by 90°, then the co-ordinates of…

Q: a) MCQS: 1. The roots of the equation x – 6x + 1 = 0 are %3D - A. 3, 2 B. 6 + 2/2, 6 – 2/2 2. The…

A:

Q: 3. A predator-prey interaction is given by AP = rP(1 – P) – PQ AQ = uQ(1– Q) +PQ. where r and u are…

A: A predator- prey interaction is given by △P=rP1-P-r2PQ △Q=uQ1-Q+u2PQ where r and u are positive real…

Q: Consider the estimated quadratic model   y ^ = 23 + 1.6x − 0.02x2. Now, Predict y when x equals 10,…

A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: Solve the equation Ax = b by using the LU factorization given for A. 4 - 4 4 1 0 0 4 -4 4 - 4 A = -…

A:

Q: Use separation of variables and find (if possible) product solutions for the following PDEs : 1. Ux…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: In a mechanical system, acceleration a, velocity v, and distance S, are related by the simultaneous…

A:

Q: 1. Select all the equations on which the point (10,0) lies. A. 5x +2y: 15 B. 2x +4y = 20 %3D C.x +6y…

A:

Q: It is known that the two basic solutions of y" +b (x equation y" + b (x) y' +c(x) y = f (x) we use w…

A:

Q: Solve the given LDE using the method of UNDETERMINED COEFFCIENTS.  1. y''' - y' = 4e^(-x) +…

A:

Q: Given the following equation: 2.a2 – 4.xy – 20z + 2y? + 2yz + 52² – 10x + 6y – 2z – 7 = 0,…

A: Given equation is 2x2-4xy-2xz+2y2+2yz+5z2-10x+6y-2z-7=0 Solution a: Since general form of conic is…

Q: 2) Find the general solution about the ordinary point xo = 0. Give the first 3 non-zero terms from…

A:

Q: The method of solution of the Cauchy - Euler equation is to try solution of the form y=x" ulgo ihs O

A: Answer

Q: 1 8. The equation of the image when the line y = x + 1 is translated through (3,-1) is? 1 a. y = x +…

A: Please see the below picture for detailed solution.

Q: Q1: - find dylar for y = 5cscx3

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Question 1 Verify that y = cje* + c2e* is a solution to the DE: y" – 5y' + 4y = 0. %3D

A: According to Bartleby Q/A guidelines, we only allowed the first question if multiple question were…

Q: Consider the Cauchy-Euler equation t2y″−ty′+y=2t3. The fundamental solution set and the general…

A:

Q: Sketch an approximate solution curve that passes through each of the indicated points

A: Here is the solution of the given problem.

Q: 3. yl-2y +2y = ecosx %3D

A:

Q: 1.8 1.6 S (3-2) (7- y²) dz dy -1.8 –1.6 using an adaptive Gauss-Legendre Quadrature method.

A:

Q: Given: [(4x + 3)²D² - 12(4x + 3)D +64]y = 16[(4x + 3)² sec² (In 4x +31)], what special case is this?…

A: Given 4x+32Dx2-124x+3Dx+64]y=164x+32 sec2ln4x+3 what special case is this? (A) Cauchy-Euler Equation…

Q: Enter the first few coefficients: az -1/3 = a6 = %3D by=

A: Let, the series  solution of the given equation  d2ydx2+2xy=0......1 be  y=∑n=0∞anxn............2

Q: 1. Rectangle 2. Rhombus DE = 2x – 3 BD = 3x +3 3. Square %3D 30 2x-4 A B E 3x - 1 3x + 7 D'…

A:

Q: 4. A merchant buys 3 types of goods. The price of type X is 50 TL, type Y is 75 TL and type Z is 20…

A: