2) Obtain the differential equation of parabolas with vitex and focus on the x-axis

Q: 3. Approximate the solution to the partial differential equation a²u ²u 5л 0x2 (x, y) + dyz (x, y) —…

A: Given: ∂2u∂x2x,y+∂2u∂y2x,y-12.5π2ux,y=-25π2sin5π2xsin5π2y To find: Dirichlet boundary condition

Q: (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the…

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Q: 30. Which of the following operations satisfy the commutative and associative property? Division O…

A: Which of the following operations satisfy the commutative and associative property?   Division…

Q: S , use the translation property to compute eat cos bt). *** Given that cos bt)(s) = s². Click here…

A: The translation property is: Leatft=Fs-a

Q: natrix. Suppose )₁ are given vect the eigen values

A:

Q: 5) x+1 x²(x+2)3

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Q: Part 2. Find the Standard Equation 4. parabola with vertex at (5,4) and focus at (-3,4)

A: The vertex is 5,4 and the focus is -3,4 Therefore the is horizontal parabola with general equation…

Q: Solve for the only positive value of x that satisfies the equation x²-1==(1-e*) Using the following…

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Q: Q3/A/Find the surface area generated by rotating the curve y = cos h(x) about x axis for 0≤x≤1 www

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Q: 3. Complete the following questions using the following planes T₂: 2x+4y-6z-2=0 m₂: 7x+14y-21z-7=0…

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Q: The auxiliary equation for the given differential equation has complex roots. Find a general…

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Q: (A) Estimate the area under the graph of f(x) = 3x³ + 4 from * = -1 to z = 4, first using 5…

A: Sol: Since Using Right end point and Left end point , correct value is calculated Now Part (C) Using…

Q: 23. If a motorcycle can drive 45 kilometers on a tank of 3 liters, How far can it drive on 5 liters?…

A: Given, a motorcycle can drive 45 kilometers on a tank of 3 liters. Then Motorcycle drive on a tank…

Q: Solve the following system : x'₁ (t) = −x₁1 (t) + 2x2 (t) + 2x3 (t) − 2 x' (t) = 2x₁ (t) + 2x2 (t) +…

A: We solve by eigenvalues and eigenvector method.

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: To find the given general equation is what type of conic section it is :-

Q: H.W (5) Solve the following differential equations of (3x² − 6xy) dx + (−3x² − 2y)dy = 0 - S

A: We solve this by using exact differential equation.

Q: Use the scaffold method to calculate 73,125 / 31 . Interpret the steps in the scaffold in terms of…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: We check the given differential equation is exact or not.

Q: Compute the Laplace transform of f(t)=u(t−7)eªt

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Q: med borrows $10,000 from Al-Rasheed Bank on June 1 and must repay total of $11,400 exactly 2 years…

A: Ahmed borrows $10,000 and after 2 years paid a total of $11400.

Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

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Q: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge only. No…

A:

Q: et F be the collection of

A: To define, T(G)=∫G(z-y)dG(y),G∈F

Q: An integrating factor of the differential equation y ³ (y + ² + ² ) dx + ( x + xy²) dy = 0 1/2 3 2 4…

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Q: Determine the number k so that the system of equations does not have an unambiguous solution. Solve…

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Q: Prove that span (v1,v2,...,vn) is a valid subspace of R

A: We know that ,  spanv1 , v2 , .... , vn = a1v1 + a2v2 + ...... + anvn / a1 , a2 , ...... , an∈ℝ A…

Q: Wynn has just returned from a business trip in Britain with £150 of uncashed traveller's cheques.…

A:

Q: A movie stuntman receives an annual salary of $120,000, but becomes a quadriplegic after jumping…

A: Introduction: The formula for the future value of the annuity is FV=P×(1+r)n-1r . The formula for…

Q: method and Gauss-Seidel method to sol Tol = 1 × 10-4. Show the detailed calcul 1 -X1 + 1/2 X 2 + —…

A: There are three iteration given. Gauss Seidel method can be used.

Q: [2 Let A = 0 1 1. Rank(A) is 2. Nullity(A) 3. The vector v A 3 2 2 5 24 4 2 2 2 2 3 4 46 27 3 4…

A: Since  you have posted a multi subparts question according to guildlines I will solve first  three…

Q: x=4-s+t Find a vector of length √2 which is perpendicular to the plane π=y=1+ s-t z = 1+s+t

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: Suppose The problem of intial values y = log (x+y), y(a) = 2 How often is. The modified Euter method…

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Q: 7. The snowshoe hare population in a newly created conservation area can be (t) = 50 + 2500t² 25+12,…

A: Given a model of snowshoe hare population over time t, pt=50+2500t225+t2 where p represents the…

Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

A: We have to find the characteristic equation for matrix A. Then we can proceed further.

Q: QUESTION: What information does a quadratic expression in the vertex form reveal? Vertex form: y =…

A: Find what information a quadratic expression reveals in the vertex form. The vertex form of the…

Q: Find the inverse Laplace transforms of the following functions: e-2s 3e-4s a. F(s) = b. F(s) = 8+2…

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Q: 4. Express each of these statements using predicates, quantifiers, logical connectives, and…

A: To find- Express each of these statements using predicates, quantifiers, logical connectives, and…

Q: Consider the shaded region in the following figure, then answer the questions that follow y=5-x²…

A: The given curve is  To find: (a) definite integral of area.             (b) definite integral for…

Q: Find the inverse Laplace transforms of the following functions: c. F(s) = e-3s (8-5) (s+1)(s+2) d.…

A:

Q: R3 → R3   be the linear transformation that projects u onto   v = (6, −1, 1).Find a basis for…

A: We have given that ,  T : ℝ3 → ℝ3  be a linear transformation that projects u onto v. Let , u = x ,…

Q: Solve the following system equations using "Solver" function : 3A+4B-5C-11 -2A+6B+2C=7 A-9B-4C=0

A: The solver function in Excel is used to solve a system of equations (linear or nonlinear).

Q: c) 3x-2 x³ (x²+4)

A:

Q: 1) Utt = Uxx 0<x< 1, u (0₁ t) = u(lit) = 0 u (x₁0) = — sin π X - 1 sin 3₁X 1 Ti 20 ut (x,0) = 0…

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Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

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Q: Find The approximate Value of f(x) at x=1-2 where f is defined over The period[17] Thus; Ţ 3 4 6 7…

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Q: Prove that the union of any number of open sets in Ris open.

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Q: II. Read each problem carefully and present an algorithm with the required running-time to solve…

A: //Below is the c++ code for the implementation.//The main functions in this code are topological…

Q: Find an explicit solution of the given initial-value problem. dy 12-11-14 y(3) = 3 dx y = =

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Q: - x − xdy) is eva = 1/- traversed i 4 direction. The int

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Q: Let R be the set of all real numbers. Determine every function g: R → R such that for all real…

A: We need to find all functions g: ℝ→ℝ such that  g(a2+b+g(b)) = 2b + (g(a))2.