Solve the differential equation by variation of parameters. ✓+y=sin²(x) - con(x) + cylin(x) + con(x) (con(x)-con³(x)) + sin(x)

Q: Find Ix Iy, Io, X, and y for the lamina bounded by the graphs of the equations. y = √√√x, y = 0, x =…

A: As you already found moment of inertia Ix ,Iy and I0 . So i am finding rest of part i.e. center of…

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Q: Brenda collected this data from an experiment: Hours of Sunlight (t) Height in Inches (h) 0.04 O…

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Q: The roof of the Monterrey Campus gymnasium has the shape of the hyperbolic paraboloid given by the…

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Q: Suppose that the direct demand and direct supply functions are x = √200 - p and x = √p - 38,…

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Q: Let A = 1 0 1 0 11 1 1 and B= = 0 0] 1. If C= AO B, then C32: and C13= = 1 1 0 01 0 1 1 0

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: onsider the system presented in the matrix form A = X = Ax+ Bu y = CX + Du 3 1 -5 -2 C = [11] The…

A: Given- Consider the system presented in the matrix form  X˙ = Ax + Buy = CX + DuA = 31-5-2       B =…

Q: Let T be the triangle with vertices (x₁, y₁). (x2. y2), and (X3, 3), and let a с b d Let f be the…

A: Given, T be a triangle with vertices x1,y1,x2,y2, and x3,y3. f is the matrix transformation defined…

Q: 1.)Supposed that a mass weighing 10 lbs. stretches a spring 2 inches. If the mass is displaced…

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Q: USE A TRIPLE INTEGRAL TO FIND THE VOLUME OF THE SOLID SHOWN BELOW AR Z Ary Z= z = 20xy, osysa 9990 6…

A: The given problem is to find the volume of the solid bounded by given regions by using the triple…

Q: Solve the following CDES by variation of paramete y" + 5y' + 4y = x²e²x

A: The given equation is y''+5y'+4y=x2e2x The auxiliary equation is…

Q: A tank contains 440 gallons of water and 20 oz of salt. Water containing a salt concentration of (1…

A: Sol:- Q0=20Rate in :-14(1+15sin(t))*3 = 34(1+15sin(t))Rate out :-Q440*3 = 3Q440Differential Equation…

Q: (a) Evaluate JE DV, where E is the solid enclosed by the ellipsoid x²/a²+ y²/b ² + z²/c² = 1. Use…

A: Given that the solid enclosed by the ellipsoid x2a2+y2b2+z2c2=1

Q: 3 1 Show that the null space of A is a 02 subspace of R³. Which subspace can you obtain by the…

A: It is given that,  A = 13-1024 We have to show that the null space of A is a subspace of ℝ3 and to…

Q: Q Let Assume that y, μ: → [0, ∞) are two measures on X.Then a. 3y - 2μ is not a measure on X. b. 3y…

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Q: The substitution y = xv(x) transforms a homogeneous equation into a separable equation. The latter…

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Q: L FA 9 8 Given that T = 2л, express L in terms of , T and g.

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Q: (b) In a displacement measuring system, a signal x, representing the displacement to be measured is…

A: As per company guidelines we are allowed to solve maximum three sub-parts so i am solving first…

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Q: Use a value table of & (x, y) with (x,y) rood of the f (x+y) f (x+y) when (x,y) → (0,0). 23 32 f (x,…

A: We have to determine the value of the limit using table method.  We can estimate the value of a…

Q: Use spherical coordinates to find the volume of the solid. The torus given by p = 6 sin() (Use a…

A: We need to determine the volume of the torus: ρ=6sinφ.

Q: 4. (a) Find all solutions of the equation x²+2x+4=0 in Z. (b) Let R be a commutative ring with unity…

A: Disclaimer:  Since you have posted a question with multiple sub-parts, we will solve first three…

Q: If a Ax = 0 for every real vector x 0 then AT = -A Select one: True False If A and B are not…

A: We to choose that whether the following statements are true or false ; I) If xTAx = 0 for every real…

Q: Consider: (PDE) Pu Ju +2- +u=2² at 01² 20²u 81² (0, f) = 0. (BC1) ди ər du (BC2) ər Classify all…

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Q: Calculate the work (in Joules) required to pump all of the water in this hemispherical tank to the…

A: We will find work done to empty a horizontal slice of watr and then integrate it to find total work…

Q: The closed form of the recursively defined function T(n) = 2 T(n-₁) + 3^ T(0) = 20 Can be written in…

A: Introduction: The recurrence relation is the general way to define a sequence. The way of definition…

Q: 50 Why is f¹, U(x)(x)dx equal to ? (By parts.)

A: Given that: ∫-11Uxδxdx The objective is to verify the given function. Now solving to verify the…

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: Given:∫132x-1dx           n=4 To find :  Integration by Trapezoidal rule              : integration…

Q: Can you do the graph for part B of the quuestion?

A: As per the question we are given a wave equation and we have to plot its solution u(x,t) vs x for t…

Q: Find the exact value of the definite integral below, using the substitution u = x x (√6+√2) 1+x² -…

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Q: □ Solve the following ODES by Undetermined Coeff. ● 4X y - 16 y = 19.2 e + 60 e ₂ y(a) = Y(u) = 4X…

A: The given problem is to find the solution for the given ordinary differential equation by using the…

Q: 7. Find a closed form representation for the function defined recursively by f(1) = 10 and…

A: Given: ƒ(1)=10 f(n)=5f(n/3)+n

Q: A bank password consists of SIX (6) letters of the Roman characters (small and capital letters)…

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Q: 7. An oil tank in the shape of a sphere has a diameter of 60 ft. How much oil does the tank contain…

A: The volume of a spherical cap is given by the equation; V=13πh2(3R-h) where h is the height of the…

Q: By power series method, Solve the following ODES & 2 X xy(x+2) y = - 2x² - 2x Ans: y = c₂x²³ e + 2 X

A: The problem is to find a solution using power series. We have taken a initial guess for y then…

Q: Solve the given initial-value problem, y" +49y0, y(0) - 6, y(0)=-3 3 x(x) = 6 cos (77)-sin (71)

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Q: 6. A= 1 10 10 1 1 0 1 1 01 1 0 1 ,b= 2 3 6 5

A: Given : Ax=b               A=110110110101101101     b=723654 To find : least -squares…

Q: 4) Let : R³ → R[t]<2 be the linear map that sends 4(e₁)=t+t² 4(e₂) = 1-t 4(e3) = t Write the matrix…

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Q: Σ 100 n=1 (-3)" 3n [ +_u

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Q: Solve the linear programming problem by the simplex method. Maximize 20x + 15y subject to the…

A: Introduction: The simplex method is an algebraic method that is used to resolve a linear programming…

Q: Rewrite using the order dy dz dx. [L² dz dy dx = 5 5. O dy dz dx

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Q: 1) this case? Consider V = C as a R vector space. What is the complexification Vc in

A: Given that: V=C as a R vector space. The objective is to determine the complexification Vc. Now…

Q: 8. How many integer solutions are there to the inequality Y1 + y2 + Y3+ y4 0, 0 < y2 ≤ 10,0 ≤ y ≤…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

Q: 1 a (a) div A₁ = CScanned with CamScanner √gaxk =(√8A¹) 1 (5) 9³4-2 √²) = gkr kr g Əx

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Q: Exercise 10. Apply BFGS method for minimizing f(x) = x¹(532)x+ (0,1)x with x(¹) = (0) and H(¹) = I₂.…

A: Given that: fx=12xT5-3-32x+0,1x with x1=00, H1=I2. The objective is to show that H3=G-1. Now…

Q: 2 Solve the following ODES by Inverse Operator method • 1.2 ý - 2y +y = e sinx X Anss y=cie +…

A: The solution of a linear differential equation of higher order is given by the equation; y=C.F+P.I…

Q: 7. Let M and N be nxn matrices. Prove that if M and N are similar, then there is a linear…

A: To Prove: If M and N are similar matrices then, there is a linear transformation T:ℝn→ℝn, such that,…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: A={1,2,3,4} &amp; R={(1,1),(1,2),(2,1),(2,2,),(3,4),(4,3),(3,3),(4,4)} Determine  Equivalence…

A: It is given that,  A = {1, 2, 3, 4}  and  R = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 4), (4, 3), (3,…