Why we need the least common denominator to add or substract rational expressions?

Q: What is the equat here? y=3+3* Oy=3·2x Oy=2·3x 2, 6X

A: We want to find the equation of given graph.

Q: 3. Show that the conditions are satisfied and then use the Integral Test to determine the…

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Q: Find the area bounded by y² = 4a(y-x), y² = 2a(x+2y-3a) and the x-axis

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Q: In each part of Exercises 1-4, determine whether the matrix is orthogonal, and if so find it…

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Q: What does the 400 Blows teach filmmakers that they should do about their films and filmmakers

A: The 400 Blows directed by Francois Truffaut is an iconic film of the late 1950s that refined French…

Q: 1. The outside temperature of one day (from midnight to midnight) can be modeled as a sinusoidal…

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Q: Evaluate [ f(x, y, z) ds. f(x, y, z) = x² + y² + z² S: z = x + y, x² + y² ≤ 1

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Q: Solve the given initial value problem. x' (t) = 59 95 x(t), x(0)= 6 4

A: Let x'(t)=Ax(t), where A is a 2x2 matrix.To find the solution we need to follow the following…

Q: Use the Divergence Theorem to evaluate [/F. F. NdS and find the outward flux of F through the…

A: We will use divergence theorem  For a  simple solid region E bounded by surface S  with positive…

Q: Express the system of differential equations in matrix notation. x₁ = 4x₁ - x2 + 3x3 - 5x4 x₂ = 5x₁…

A: Here we use the standard form of matrix representation of system of linear differential equations as…

Q: b. The FIFA World Cup 2018 in Russia consists of 32 teams. How many ways for the top 3 teams exist?

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Q: 4. Use the Newton's Divided Difference formula to compute the cubic interpolating polynomial for…

A: To find- Use the Newton's Divided Difference formula to compute the cubic interpolating polynomial…

Q: If cot(x)= (in Quadrant 3), find 3 8 Give exact answers. sin (7) = 0.8219 05 (-²/2) = COS ¹(²/²) ·…

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Q: Question 3. Solve the IVP x" + 2x' + 2x = 0. when x(0) = 0, x' (0) = 1

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Q: (2x)dx + (y - 3x2y-1)dy=0 1 y x² An implicit solution in the form F(x,y) = C is v3 (Type an…

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Q: f(x) = { 2x³ x < cos x x ≥ SINEIN 2 2

A: f(x)=2x3x&lt;π2cosxx≥π2 We know Lfx=∫0∞fxe-sxdx

Q: Determine whether the series ₁ (-1)^+¹n/2¹ converges or diverges. n=1

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Q: Determine if u = (4,3) and v = (1/2 , - 2/3) are orthogonal, parallel or neither.

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Q: Determine: If W = the set of all vectors in R2 whose second component is the square of the first. is…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

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Q: Given this polynomial x²+3x+5=0 such that r and s are the two roots of the equation. Find the value…

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Q: Let P₂ represent real polynomials of degree 2 or less. Define a linear transformation T: P₂ → P₂ by…

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Q: Find inverse relation of f(x)= 4x^2 -8x+11

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Q: Write an equation for the polynomial graphed below -5 -4 -3 -2 y(x) = 7 6+ 5+ 4+ 3 + 2+ 1+ -1 -2- -3…

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Q: 3x -y - 2z = 1 -x + 6y -3z = 0 -2x-3y + 6z = 6

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Q: .Graph this relation by plotting the vertex, then use the step pattern to plot at least 2 additional…

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Q: -¹ { ₁ 1 (s-1)(s+2)(s+4)) Evaluate L-1

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Q: A 10-year-old child received an inheritance of $6000 per year. This was to be invested and allowed…

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Q: ο(*) *fx- | ii) fx+nn = Σ=o

A: As per the question we have to prove the indentity relating the forward difference ∆ with the…

Q: Consider the undirected graphs represented by the following adjacency matrices. Which statement is…

A: Given- Consider the undirected graphs represented by the following adjacency matrices. To find-…

Q: What is the solution to the following special cases? You must apply the appropriate method after…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine whether the given differential equation is separable. dy dx + sin(x + y) = 0 Is the…

A: Introduction: Any differential equation that can be expressed in the manner y′=f(x)gx is a separable…

Q: Verify that y1 = x^3 is solution of the differential equation x^2y′′-6xy' +12 y = 0. Using reduction…

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Q: Determine whether the series converges or diverges. Σ=1n(3-2 Inn) Note: a P = 1 ар Select the…

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Q: C, where C is an arbitrary constant, and S.)

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Q: 01: An important concern in the study of heat transfer is to determine the steady-state temperature…

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Q: Determine the generating function for the following sequence: (),-), (2),,(-1)" (a),.. where a is a…

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Q: three varieties of coffee -coffee A coffee B and coffee C are combined and roasted yield a 54 lb…

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Q: 3. If is a collection of dosed sets in R such that every finite subcollection has a nonempty…

A: Given : θ is a collection of closed sets in ℝ such that every finite subcollection has a non empty…

Q: In theory, the partial sums of this series could be used to approximate 7. a. Show that the series…

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Q: Use the Laplace transform to solve the following initial value problem: x' = 12x + 4y, y = −8x + et…

A: We solve given DE by using Laplace Transform.

Q: 2. Use polar coordinates to carefully calculate an exact answer for SS √x² + y² dA on D = = {(x, y)…

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Q: What is the null space of this matrix:   A = 3 0 0 2 0 0 1 1 1

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Q: Using the traces obtained here for l3, provide a hand drawn sketch of l3 and label all important…

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Q: Find the eigenvalues X₁ < ₂ and associated unit eigenvectors ₁, 2 of the symmetric matrix The…

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Q: Use a power series to solve 2y" — y = 0, - Find the radius of convergence. y(0) = 4, y'(0) = -9.

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: use appropriate algebra to find the given inverse laplace transform L-16s-12s2+ss2+1

Q: Show that the following are logically equivalent using logic algebra a) pv (p^q) = p b) (p^q) v (~pv…

A: To Show- Show that the following are logically equivalent using logic algebra. p ∨ p ∧ q ≡ p p ∧ q…

Q: Linear Transformation and Bases In Exercises 29, 30, 31, and 32, let T: R³ → R³ be a linear…

A: We have: T1,1,1=2,0,-1T0,-1,2=-3,2,-1T1,0,1=1,1,0 Now, let 4,2,0=a1,1,1+b0,-1,2+c1,0,1 for constants…

Q: Determine if v is an eigenvector of the matrix A. Yes A = A = [ L A = Select an Answer 2. [ L…

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