The partial fraction decomposition of f(x) g(x) where 2+2 + z²+9 1 -2x² +92-39 x³ + 2x² + 9x + 18 can be written in the form of

Q: Q1 Find the points of intersection of the polar curves rcos and 2-cos-r=0 Q2 Find the points of…

A: Introduction: The polar curve has the form r=fθ. When two polar curves intersect each other, the…

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Q: 1 30 (A) = 2 -2 4 3 50 a) Find the minor of the element 5 and 0? b) Find the cofactor of the element…

A: To find the minor and cofactor of element  0 and 5 .

Q: Q2// Use Euler's method (with all details) to find approximate value of y when dy = 2y - 2x² -3,…

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Q: 24: Find all Taylor and Laurent series of f(z) = -2z+3 z²-5z+6 /

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Q: 4. (1+ 4x²)y" — 8y = 0. ANS. yao(1 + 4x²) + a₁ Σ k=0 (-1)*+¹2²kx2k+1 4k² - 1 valid for x <

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Q: 9. Find the mass of a car antenna that is 3 ft long (starting at x = 0 and has a density function of…

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Q: - 1 Find the Fourier Integral of f(x) = { 1 0 ;-π≤x≤0 ;0≤x<π π

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Q: . a) Write sin(3 – i) in the form of a + bi .

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Consider the set X={a,b,c,d} construct all the possible topologies of X that have only three open…

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Q: -kx (b) Find the Fourier integral of the function f(x) = e when x > 0 and f(-x) = f(x) for k>0 cos2x…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Solve the initial value problem ди Ә дудх (OH) - 4— = 0, u(0,y) =2siny, u(x,0) = х. = ду

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Q: Find eigenvalues of matrix A = ahan fi ua 8-8-2 4 -3 -2, and then find eigenvectors 3 -4 1

A: A=8-8-24-3-23-41

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Q: . Determine the value of a such that lim I--2 3x² + ax + a +3 x²+x-2 exists. Justify your answer.

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Q: solve the following differential equations: a) (2x²³x+ sin (1/2-½x) + y ) dx + (x²y-x) dy = 0 b) (3…

A: Thank you for the question. According to our guidelines we can answer only  first question and…

Q: Given f(x) = 9+8x² + x¹, find the following: a. The galois group of f(x). b. The subfields of…

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Q: Determine whether the linear system is solvable.

A: The given system is                 x≡4 (mod 6)          x≡2 (mod 8)            x=1 (mod 9)

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Q: Q1 Find all the points of intersections of the curves r = 1+cos0 and r=1+sin r-1+(8) r=1+1)

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Q: Let y'= -ty + 0.1y³ and y(0) = 1.8. Use Euler's method to find approximate values of the solution of…

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Q: Evaluate fxz ds, S is the boundary of the region enclosed by the cylinder, y² + z² = 9 and the…

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Q: Exercise: Find unit vector perpendicular to the plane .P(1.1.1). Q(2.1.3). R (0.2.1) and find area…

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Q: Let n = pq, where p and q are distinct primes such that p = q = 3 (mod 4). Suppose a € Z+ with a <n.…

A: given data, n=pq , where p and q are distinct primes such that p≡q≡3(mod 4). also aϵZ+ with a&lt;n.…

Q: Using De moivre's theorem, find expressions for cos50, sin50 and tan50 in terms of cose, sine and…

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Q: Ahmad has a concave utility function of U(W) = W0.5. His only asset is shares in an Internet…

A: Consider the given Utility function, UW=W0.5 Since, it given that Stock value worth RM144 with the…

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Q: Give the inverse Laplace transform of 4 4 S F(s) = + 2e-48 + 3e-4s (s+3)²

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Q: 2-4 General Linear Differential Equations of Order n:- Example:- Solve 1) y (4) - y = 0 2) (D5 - D²…

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Q: X e. (1 + x + X/21 + X²/31 -)-(1-X + X ²121 - X/31 --) + 2 5 2x+2 +2+- 3 5 3! 2 (2n+i)' 8 EX n=o…

A: To find the power series of coshx

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Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

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Q: Q3// Use Newton-Raphson Method to solve f = -x²+x+0.75 for 5 iteration (choose 4-decimal places).…

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Q: Find the surface area of the part of the circular paraboloid z = x² + y² that lies inside the…

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Q: Arley's Bakery makes fat-free cookies that cost $1.70 each. Arley expects 30% of the cookies to fall…

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Q: d² (b) Apply Laplace transform to solve the +4+ +13q = 50, With the initial conditions q (0) = 0, i…

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Q: Q1// Solve (with all details) the linear system of equations using Gauss - Elimination method…

A: The given system of linear equations…

Q: 3. Let f: R² → R. Suppose ƒ € C" with ƒ(1, 1) = 1 ; fi(1, 1) = a; f2(1, 1) = b. Let o(x) = f(x,…

A: Given that              f : ℝ2→ℝ  such that  f∈C' with f(1,1)=1;  f1(1,1)=a;  f2(1,1)=b.

Q: a) Let z = x/n, and show that z satisfies the initial value problem dz dt dź = −ßz(1 – vz). Observe…

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Q: Q2// Use Euler's method (with all details) to find approximate value of y when dy = 2y - 2x²-3,…

A: We have to Use Euler's Method to find the approximate value of y when x=3 of y' = 2y - 2x2 - 3 given…

Q: Q4// Evaluate the coefficient a, b from the below data using least square regression method, then…

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Q: Q/ The management of a company for maintenance services in Khamis wants four workers to work on and…

A: The given table is    A B C D 1 5 7 9 6 2 14 13 10 4 3 15 11 12 5 4 10 17 9 11 To…

Q: 10. What is the work done moving a particle from x = 0 to x = 1 m if the force acting on it is F =…

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Q: Convert the numeral to a numeral in base 10. B2112 B2112 - 10

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Q: How many solutions are there to the following equation that satisfy the given condition: x₁ + x₂ +…

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Q: 3. Let f: R→ R³ and 9: R³ R be defined by f(t) = (t², sin(t), et) and g(x, y, z) = xy + z. Using…

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Q: 1. Use the definition to find the first five nonzero terms of the Taylor polynomial, centered at c =…

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Q: Solve the initial value problem Ә ди дудх ди 4- = ду = 0, u(0,y) = 2 siny, u(x,0) = x.

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