Find the equation of the hyperbola with vertex (-4, 0) and foci at (-5, 0) and (1, 0).

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A: Polynomial function for the given condition is :-

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Q: . Let G be a group of order 425. Prove that if H is a normal ubgroup of order 17 in G then H < Z(G).

A: Solution

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Q: Find the number of 3-permutations of a set with seven elements. а. 130 b. 120 c. 210 d. 100

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Q: Find the value of 20 so that dz= -2mi H=12 (z – 20) (2– 181)

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Q: 2. [2 35 - 2] let A = [2 3 5 – 2 ] ans.A 2 - 3 - 52] |

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Q: Find the number of 3-permutations of a set with seven elements. a. 130 b. 120 c. 210 d. 100

A: We want to find number of 3 permutations of a set with seven elements

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Q: Problem 1. Find the general solution of r(u – 2y")u, + y(u- y - 2r"ju, = u(u - y² - 2r").

A: For the solution of the problem follow the next steps.

Q: Solve the given symbolic initial value problem y" + 6y' + 13y= 26(1 - *), y(0) = 1, y'(0) = 3 y(t) =…

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Q: Let P, be set of all polynomials of degree atmost n. Let T: P2 defined by T(p(t)) = p(t) + 2t²p(t).…

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Q: Let G be a group of order 425. Prove that if H is a normal bgroup of order 17 in G then H < Z(G).

A: Let G be a group of order 425. Prove that if H is a normal subgroup of order 17 in G. Then H≤ Z(G).

Q: Consider the IVP: x" + x = 4e'; x(0) = 1, x'(0) = 3. Find the general solution. A x(1) = 2e+ sin21 –…

A: Some of the properties of the Laplace  L-11s-a=eatLeat=1s-aL-1ss2+a2=cosatL-1as2+a2=sinat

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Q: Find the area between r = 2-sin(θ) and r = sin(θ)

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Q: Given production function -- Y = (4K)^1/3 (L)^2/3 a. Solve for the graident and Hessian matrix of…

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Q: Q4 Determine exponents at the singularity for the regular singular point o = -1 of the equation (x+…

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Q: Logic & Philosophy 1- Given that A and B are true and X and Y are false determine the truth value…

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Q: What time after two o'clock will the hands of the clock extend in opposite directions for the first…

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