At what point on the surface z = 5 + x² + y² is its tangent plane parallel to the following planes? (a) z = 5 (x, y, z) = (b) z = 5 + 2x 10y (x, y, z) =

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Q: H(s) = 3s^2+4s−4 / (25s^2+20s+4)(2s−1) and H(s)= 20s^2+3s+80 / (s^2+4)(20s^2+21s+4)

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Q: Maximize subject to Z= x₁ - x₂ + 2x3, 2x12x2 + 3x3 ≤ 5 X₁ + X₂ X₁ X₂ and X3 ≤3 X3 ≤2

A: Problem is2x1-2x2+3x3≤5x1+x2-x3≤3x1-x2+x3≤2subject to2x1-2x2+3x3≤5x1+x2-x3≤3x1-x2+x3≤2and…

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Q: 5. Sixteen people divide into groups of size four. In how many ways can this be done?

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Q: 9. The function C(F) = (F – 32) relates Celsius temperatures, C, and Fahrenheit temperatures, F. -…

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Q: : Use gaus -Jourdan Method to Solve The systems 2x +2y + 2 Z + 4K = 10 -x + y + Z + K = 2 = 5 2x + y…

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A: Answers are in the below box. If you have any doubts at anywhere in the explanation or answer please…

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Q: Solve the system of linear equations exactly. Show your work. X₁ - 3x2 + 4x3 = -4 3x17x2 + 7x3 = -8…

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Q: How many possible nonzero distances does a quadrilateral, that is not a rectangle, rhombus,…

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Q: 6 6. For the following equations: f(x) = x + 2 and g(x) = (x + 2)² − a) Calculate: ii) + (3) i)…

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Q: 3. (a) Prove that the function f : R → R, ƒ(x) = 4x² −14x¹+30x-17, is injective. (b) Find the…

A: The answer to this question is given below.Explanation:

Q: Find a matrix that implements the linear transformation T(x1,x2) = (3x1-4X2, X1-X2, 2x1 + x2)

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Q: maximize subject to 51(1-32 + 3) - 2 ₁ + 3x2 + x3 ≥ 4, -I₁+I₂-13 ≤ 3, -2x1 + x₂ ≤7, I1, I2, I3 20

A: Given that:maximize subject to: This is not a linear programming problem

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Q: 5. In each of the following cases, either write down a function with the specified properties, or…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Solve the following differential equations by Laplace transform…

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Q: Given f (x) = 7-5x a] f-¹ (4) b] f¯¹ (-4) + f¯¹ (-3) + f¯¹ (-2) c] g (x) = f-¹ (2x) 1 determine

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Q: 10. The loudness, L, of a sound in decibels (dB) can be calculated using the formula L = 10 log(+),…

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Q: 1.9x² -y² + z² = 0 2.25x² + 4y² +z² = 100 3.x = y² + 4z² 4. x² = y² + 4z²

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Q: Find all scalars c, if any exist, such that the given statement is true.  A. The vector [c, -c, 4]…

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