Suppose that X = ER' :z + y + z = 0 and ² + y² = z² Determine (with justification) whether X is a subspace of R³.

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A: for cosα we have to find way to eliminate θ . For tanθ we can use ratio of x-x1 and y-y1 .

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A: Please post the multiple sub-parts separately.Here I answered 1st three sub-parts as per our policy.

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A: Introduction: A higher order linear homogeneous equation is solved through finding and solving the…

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A: see the attachments

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Q: (D³+3D²– 4D)y = 0 -4x Question 5 Find the solution. dy 31+9y=2ty 5/3 dt

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A: Please post the multiple questions separately.Here I answered 1st question  as per our policy.

Q: Given the matrices below, find B- 2A [2 A= 4 -5 -5 -4 - c-[;} »-G } -[] Choices: -5 -7 6 -3 5 [13 -5…

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Q: Q4) a. Expand the function f(x) = e(x*+2) by using 12 terms only. b. Rename the expansion terms by…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: Find a unit vector orthogonal to both u and v. (-3, 4, –2) (-1, 1, 0) u = V = 2 2 1 3' 3' 3

A: To find the unit vector orthogonal to both u and v .

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A: To find- Translate each graph as specified below. The graph of y = fx is shown. Translate it to get…

Q: Find the inverse of the matrix [: 3] Choices: -3 3 C. a. 4/3 1/3 1 3 1 b. -4/3 -1/3] [4/3 1/3]

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Q: Solve the following SLP y" + ày = 0 y(0) = y(1) = 0

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Q: Sketch Z= 2x^2+3y^2

A: To sketch: Z=2x2+3y2.

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Q: Approximate the roots of the polynomial f(x) = X3 - 7X + 6 using Bolzano method.

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