5. ) Write an equation for the graph of the rational function shown. Explain your reasoning. 5. 4 -8 -3 & 4 3. -2

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A: There are two points of intersection.

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Q: Consider the polar curves C₁ : r = 2 cos 0 and C₂ : r = 2 cos 30, and let R be the shaded region as…

A: Introduction: Apart from Cartesian representation in two dimensional Euclidean geometry, there is…

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Q: 5. D = 2000 2 1 -5 Evaluate D.

A: 2  0  0   0-5  3  0   0   3  2  4   0   4  2  1-5  =  (2)(-1)1+1 3  0   02  4   02  1-5…

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A: The solution for the asked part is given as

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Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. - a. What type of quadric is S?…

A: Since you posted multiple questions, we will solve first part for you. Kindly repost other questions…

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A: Solution:- option (c) is correct

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Q: Consider the polar curves C1 : r =  4 + (3√2)/(2) cos θ and C2 : r = 2 − (√2)/(2)  cos θ as shown in…

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A: Same point can be expressed in polar coordinates in various ways.

Q: 3. Solve the linear system using Gauss-Jordan method I 2x+y+z=2 y+z+w=2 x+y=z=0 x + 2z-w=1

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Q: 3 III. 1. Using the technique in Item II., find the general solution of the system ty' = 2 3 2.…

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Q: m above, prove that for every real number c>0, there is a 1/N < c.

A: In every real number c, there is integer N which is N &gt; c.

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Q: 4. ( i) Consider the function f(x) = x²-7x+12 x-4 a) Determine the key features of the function: i)…

A: (a) We have f(x) = x2-7x+12x-4 We know x2-7x+12 = x-4x-3

Q: Q3: Use finite difference method to solve Laplace equation in the red (hand written plzzz) domain…

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Q: 4. Which of the following is a Legendre's equation? a. (1-x²)y" - 2xy' + 3y = 0 b. (1-x²)y" + 2xy' -…

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Q: 9) If f(z) = u - iv is analytic in the z-plane, then the C-R equations satisfied by it's real and L…

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

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