Give a scalar equation for a plane at distance 9 from the plane P with equation -2x+2y-z = 3. 0=0

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Q: Let D be the solid bounded above by the sphere x² + y² + z² = 9, below by z = 0 and laterally by the…

A: The curves are: To Check: Which of the given options are correct.

Q: Evaluate the following limit. lim ef(x,y)²-6g(x,y) (x,y)→(2,5)

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Q: 11.8 ft I I I 5.05 ft

A: The solution is given by

Q: Let K be a normal extension of a field F and  L is an intermediate field so that F⊂L⊂K,  then K is…

A: Suppose that K be a normal extension of a field F and L is an intermediate field so that , then we…

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Q: An element of K which remains invariant under each member of the Galois group   G(K,F) of K over F…

A: Given: Galois group .We have to prove that An element of  which remains invariant under each member…

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Q: Find local extrema of implicit function y(x): (c) (x² + y²)³=z¹y² (d) -21²y-z²+y²+y=0

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Q: Use the Chain Rule to evaluate the partial derivative y = e³u sin(v). (Use symbolic notation and…

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Q: Let y = orthogonal to u. Q. b. [1] u= write y as the sum of two orthogonal vectors, one in Span {u}…

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Q: 8.27. A and B are invertible nxn matrices such that det(A) = -and det(B) = 3. Let C = AB. Compute…

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Q: Consider the following differential equation and initial value. y' = 2x - 3y + 1, y(1) = 6; y(1.2)…

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Q: 3. Two vectors are defined by a = 2km [W] and b = 4km [S]. Determine: c) s= a + b d) d=a-b

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Problem 7 Suppose that a department contains 10 men and 15 women. How many ways are there to form a…

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Q: Let D be the solid in the first octant bounded by the planes y=0, z = 0, and y=x, and the cylinder…

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Q: y² Consider the ellipsoid f(x,y)= 1- and the point P(-√2,0) on the level curve f(x,y)= Compute the…

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Q: May sound like an obvious question but how does the set contain 0 when n is greater than 1?

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Q: 1 0 1 го о 1 0 00 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 10 0 0 1 0 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 0…

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Q: Use 5-point bins (95 to 99, 90 to 94, etc.) to make a frequency table for the set of exam scores…

A: Given frequency are70, 91, 73, 80, 99, 85, 78, 72, 78, 90,74, 84, 90, 88, 70, 99, 95, 95, 99,…

Q: The point x = 0 is a regular singular point of the given differential equation. 4xy" y' + 4y = 0…

A: Given - The point x = 0 is a regular singular point of the given differential equation. To find…

Q: In Exercises 1-2, determine whether the given matrix is elementary. 1 [1 -5 1 1. a. C. 6:0 1 1 0 1 0…

A: An elementary matrix is a square matrix that is obtained by performing a single elementary row…

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Q: B-Let f(x,y)=(y if x is rational, 1-y if x is irrational). Show that f(x,y)dydx = ? also prove that…

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Q: 0.4e-2 -90 0.6e/1.4 -40 0 0.5 0.6e-11.4 40 0.4/2 90 @ Figure P-3.20 (a) Determine the fundamental…

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Q: Compute the partial derivatives of f(x, y) = 2xy². (Use symbolic notation and fractions where…

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Q: Pivot once as indicated in the given simplex tableau. Read the solution from the result. Pivot…

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Q: Show that if Jo(Xn) = 0 2Jo(λης) (a) 1 = En=1 ληξι (λπ) Σ 100 (b) t2 = 2=1 22 = 500, 2(1 −4)Jo(λ,z)…

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Q: Use expansion by cofactors to find the determinant of the matrix. W 18 -10 -32 X -15 y Z 24 27 32…

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Q: 4) Aşağıdaki seri toplamlarını bulunuz. En=2ln(1 – 2) a. 3n-1 b. Σ1 6n

A: We have to find the following series sum(a) (b)

Q: Prove by mathematical induction, when n is a positive integer that (i) 1³ + 2³ +3³ +4³ +...+n³ [n²(n…

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Q: Population Growth A major corporation is building a 4,325 acre complex of homes, offices, stores,…

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A: Consider the differential equation:Where, To Find:a)Coefficient function P(x), where the given…

Q: Exercise 1.1.8 Write a system of linear equations that has each of the following augmented matrices.…

A: We have to write augmented matrix into the system of linear equations.

Q: Claim. If r> 1 and 2 E N., then N, - {x} ~ N₁_1. Proof: We have N, - (N-1- {x}) U {x}. Since N, 1-…

A: Claim: If  and , then Proof: We have           Since and are disjoint

Q: A field of characteristic pro such that each element of the field is the p-th power of some member…

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Q: can you please help me with this problem and the given parts below because I don't know how to solve…

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Q: (d) Find the autocovariance functions for both models.

A: Dear student, According to Question Answer guidelines you have asked multiple questions, here I have…

Q: Let f(x, y, z) = xy +z6, x = r + s = 4t, y = 3rt, z = s7. Use the Chain Rule to calculate the…

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Q: Expand each of the following functions, first as a Fourier sine series, and then as a a cosing…

A: Definition of Fourier coefficients

Q: The table shows the height of a projectile that is fired into the air. t (seconds) 1 3 4 2 125 124…

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Q: Solve the following recurrence relations together with the initial conditions a) an = 6an-1-8an-2 ao…

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