Determine whether each of the following sets are subspaces of R³ with the standard operations. sure to justify your answer. ) W₁ = {21, 22, 2122 | 2₁, 22 are real numbers} W₂ = {y₁, y₁ + 2y3, Y3 | Y₁, Y3 are real numbers}

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A: The given non linear differential equation is x¨+5x˙+4x=5-x2. We need to find the equilibrium point.…

Q: 2: Find the component of u = 2i+j - 3k that orthogonal to v = 3i – j, then verify your result.

A: Solution:

Q: 64q10.5+q20.25q30.4

A: Total utility=319.87

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A: The answer for the integral is 14x4-13x3+12x2+C

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Q: A: 0 8 4 1 9 -4 -1 -4 a what is the value of the element in row 1, column 2 of A²?

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A: As per the question we are given a sequence as : ln(n)/n And we have to : Calculate the first 10…

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A: Introduction: differential equation, a statement in mathematics that contains one or more…

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Q: 1. a) Find the Laplace transform for the functions below. (i) f(t)= e²¹ sin(not), n integer. (ii)…

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Q: the ODE find 1 Given that {x, x¹, x²} is a fundamental set of solutions to x³y" + x²y" - 2xy + 2y =…

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Q: Let A be a symmetric semi positive definite matrix of order n. Show that XTAX is also symmetric semi…

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Q: [₁ F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

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Q: 13

A: We use properties of Conservative field.

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A: Contradiction: A statement whose truth value is always false. Tautology: A statement whose truth…

Q: Transform Bessel's equation x²²y + xdx+(x²-n²) y=0 by substitution x== souber moitops navig Hence…

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Q: Exercise 1) Consider the group (S3, 0) and H= ({e, fs). Prove that H&S₁. 2) Consider the group (Z.)…

A: 1) The given group is (S3,∘), and H={e,f3} . To Prove: H⊲G. As per policy, we are solving only the…

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A: Given y=4-x2, y=0 about x=3.

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A: Formula: (1) Volume and surface of rectangular prism are given by, V=l×w×h S=2l×w+w×h+l×h, where l,…

Q: And how many columns does it have ? A. As many datapoints B. As many parameters O C. Dimension of x…

A: Hints:  Here we need to discuss about Jacobian matrix.

Q: 6. it is a strategy that is used for complex math problems or big numbers; substitute smaller number…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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A: To find the volume of the prism described we just need to evaluate the given double integral…

Q: Perform the summation below using the following set of data: 4, 5, 5, 6, 7, 8. 0 Σ (422 – 5)

A: To perform: The summation ∑4x2-5 using the following set of data: 4, 5, 5, 6, 7, 8

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

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Q: We consider an interesting consequence of the closed graph the- orem. A linear map P from a linear…

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Q: Let A = [ L 1 -1 4 24 2 37 2 1 J , V = Is v in Nul(A)? Type "yes" or "no". no Is w in Nul(A)? Type…

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Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

A: Let us consider the given function f(x). The maxima and minima is obtained as, If f''(x)>0 then…

Q: Please help solve the problem provided in the photo below PLEASE

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Q: Suppose that A and B are n x n matrices, where B is nonsingular. Prove that the determinant of BAB-¹…

A: We use properties of determinant.

Q: 14-13-12-11-10-9-8-7-6-5-4-3 2-1 Find an equation for the graph above. 4+h(w) 3 2 1 -2- m + 4 5 2+6…

A: Here we will use cos function to represent  the graph  Let equation of graph y= Acos( Bx +C) +DHere…

Q: h(x, y) = Let f(x, y) = 6 - 3y³ - yx² + 2x² + 2y and 2x² + y². a) Find all the local maximum and…

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Q: 120 5+sin 0 5. (a) Find the constants a,b,c for the conic r=- Sketch the conic.

A: Introduction: Apart from Cartesian form, a conic can also be represented in polar form. The most…

Q: = (5) Find the standard matrix for the transformations T₁(x, y) (x - 2y, 2x + 4y) and T₂(x, y) = (x…

A: This is a linear algebra question. The standard matrix is find with respect to the standard basis.

Q: Find the general solution to the following nonhomogeneous system: dyn [2 五 -2r+ 录]]]] = + dx 92. 4-3…

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