P(X) why did you write 11 11/pax (0) This way. this function? || | ||ypex (___) U(X) = inf [B> 0 + 5 / 40 / dx< 1 ] 22

Q: ►Solve the following differential equations 1. (x + 2y 2)dx + (2x − y + 3)dy = 0 [Answer: x² + 4xy -…

A: We have to solve the following differential equation 1.x+2y-2dx+2x-y+3dy=0 2.2ax+byydx+ax+2byxdy=0

Q: 4. (x² + y²)dx - 2xydy = 0 [Ans. x² - y² = cx]

A:

Q: A mostion has a equation R(+) _ (cos(4+)) i² + [Sm (4+));} +4#k² Find the unit principal namal…

A:

Q: takes one great sword unsheathe attack, one full spirit long sword combo, f light bow gun and five…

A: Gauss Siedel method: In numerical algebra, the Gauss-Seidel method also referred to as the Liebmann…

Q: Determine f(x) from the table: X f(x) -1 0.5 1 2 4 0 1 2

A:

Q: Find the general solution of the differential equation y" + 2y + 5y = 2 sin(2t). NOTE: Use c₁ and ce…

A:

Q: A motion has a equation R (t) = ((₁5 (4+)) 7² + (sm/4+));² The distance traveled by the object in…

A:

Q: Using matrix algebra techniques, find a general solution to the system. 3x-8y y' = 8x-31y x(t) y(t)…

A:

Q: Let f be a function from R - {1} to R given by f(x) = x/(x-1). Then f is surjective; injective;…

A: Given function is f(x) = xx-1

Q: Find the maximum value that f(x, y, z) = x² + 8y - z² can have on the line of intersection of the…

A: Given function is f(x,y,z)=x2+8y-z2 and the other constraints are g(x,y,z)=2x-yh(x,y,z)=y+3z We…

Q: The following system of ODES are given. Identify all equilibrium points and analyze their stability…

A: Introduction: The equilibrium point of a system of differential equations is such point where the…

Q: Consider the following equation: log(10)x = e(-x) a) Demonstrate that the given equation has only…

A: Use the following theorem and the formula, to obtain the solution. The error is calculated by the…

Q: The non-exact differential...(x² + y²)dx + (3xy2 + 2xy + x³)dy = 0 can be reduced to exact after…

A: We need to determine the integrating factor for the differential equation: x2+y2dx+3xy2+2xy+x3dy=0…

Q: QA why cis Banach space? let c= {UE C([0,+A)): SUPTE [0, +∞) |u(t) | <+0}

A:

Q: Integration of x^x dx

A: Introduction: Indefinite integration is to determine the anti-derivative of the integrand.…

Q: 3/ Given a vector x, show that the infinity norm defined by || X 1100 = max | X₁ Do Ksign

A:

Q: 1. GIVEN: (-1,0 ≤v<2 f(v) = 0,2 ≤v<4 (4v, 4 ≤v < 6 Calculate the FOURIER COSINE SERIES of the given…

A:

Q: Question 15 Points 3 The volume of a Rubik's cube is 512/216 cubic inches. Find the length of a side…

A: The correct option is D) 4/3 inches  Given, that the volume of a Rubik cube is 512/216 inches, we…

Q: Question: The following partial differential equation a²U = a əx². du Ət Find the finite difference…

A: Given partial differential equation  ∂U∂t=α∂2U∂x2 ……………………………(1) Discretization schemes…

Q: Give one indicated root (2√3 - 2i)¹/2 a. 2 cis 330° b. 2 cis 67.5° c. 2 cis 165° d. 2 cis 167.5°

A: We have to solve given problems:

Q: 20 23 12 25 14 27

A: Given as,

Q: √√x-2 (x² − x + 1)² - Q.3 If f(x) = - Find (a) The intervals on which f is increasing, (b) The…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: 2. Let (X, A, μ) be a measure space. If {E} CA and E₁ E₂ E3 ..., then prove **** that (UE)= lim…

A:

Q: g) Find the Fourier sine series of the function f(x)=-100¹0(-<x<n); f(x)= 100¹0 (0<x<n)

A: We have to find the Fourier sine series of the function  f(x)=-10010if -π&lt;x&lt;010010if…

Q: Ex: Using the Euclidean metric for polar coordinates, Compute the length of arc for the Curve で T =√…

A: Introduction: The formula of the arc length of the curve xt,yt is given by, L=∫abdxdt2+dydt2dt Where…

Q: The solution of the following non exact differential equation (y + y² cos x) dx + (2x + 3y sin x)dy…

A: e^(logx)=x

Q: Problem 1: Solve the following assignment problem shown in Table using Hungarian method. The matrix…

A: As per the question we are given a 5×5 matrix which we have to solve (find the optimal solution)…

Q: 5. (x² + y² + 1)dx - 2xydy = 0 [Ans. x² - 1 - y² = cx]

A:

Q: Exercise 2. Solve the optimal тахи (t) Sit. 3 control problem [( 1-2x² (4) +2^²^(()) + x' (t) = 4…

A:

Q: Julie wants to buy burgers and juice for her and her friends. Each burger costs Php 15 while each…

A: We need to formulate a system of inequalities for the given scenario and then solve the system by…

Q: Field of Application: Medical Dosage Situation analysis: After a drug is injected into a patient's…

A: Given an example of a rational function, it is given that a drug is injected in a body, the…

Q: My question is why is norm defined like this please explain ||4|| || Ilull = II (и,, Ца, ...... un…

A:

Q: Consider the following linear program: Required: a. Use the graphical solution proceduret o find…

A:

Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A:

Q: The population of rabbits in a certain region without any predators t years from now is given by the…

A:

Q: ative cases 70,000 -5 60,000 50,000 40,000 30,000 20,000 10,000 Chart 23: Model of Cumulative Cases…

A: Given all these three graphs,  Social distancing one day later(red color) graph becomes constant…

Q: GIVEN: (-1,0 ≤v <2 f(v) = 0,2 ≤<v < 4 (4v, 4 ≤v < 6 Calculate the FOURIER COSINE SERIES of the given…

A:

Q: 2. GIVEN: f(z) = 2z - 5,0 ≤ z < 10 a) Find the FOURIER SERIES of the ODD extension of the given…

A:

Q: f( ={ 2t, 0≤ t ≤ 1 t, t > 1

A:

Q: Find the direction of maximum change of f(x, y, z) = xey + z² at (1, In 2,2).

A: Introduction: A function's maximum directional derivatives at a particular point P are produced in…

Q: Find the general solution of the system x'(t) = Ax(t) for the given matrix A. 4 A = + 4 5 3

A:

Q: calculate the following X= (455.2, 676.7, 784.7, 349.1, 437.5, 678.3, 760.2, 788.4, 278.3 and 455.2}…

A: As per the question we are given the following data set : X = {455.2, 676.7, 784.7, 349.1, 437.5,…

Q: f(x)= x³ -0.73x² - 44.0085x + 100.387125; [1.75, 3.25]; € ≤ 0.029

A:

Q: Find the area bounded by y^3 = x^3 + x^4 and the x-axis. Sketch this and label the important…

A:

Q: k The mean score on a set of 15 tests is 75. Suppose two more students take the test and score 68…

A:

Q: The solution of the following non exact differential equation (cos x) dx + (1 + ² sin x)dy = 0 is: O…

A:

Q: Consider 12 1 2 13 -1-3 4 Convert A to an upper triangular matrix U by using Gaussian elimination…

A: The given problem is to convert the given matrix A into upper triangular matrix U then find the…

Q: (у) ну- (-см ) - уве Сай

A: Given differential equation is xy - dydx = y3e-x2

Q: 1.) Find a Frobenius type solution around the singular point of x = 0. x²y + (x²+x) y'=y=0

A:

Q: Question 10 described by the vector function r(t) = (4t² ln t, ¹-4, -2e-3t). Find the integral ſ…

A: