Find a basis of the subspace of R4 that consists of all vectors perpendicular to both Basis: 0 -3 9 and 1 8 8

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A: We have to find the number of ways 3 letters can be chosen from the set {P, Q, R}.

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Q: 43. Show that the following are logically valid formulas: (p(xA) ← P(xA)) ← (←0) (A) (0) (b) (3x)(y)…

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Q: 3. Consider the surface S₂ with equation (x-1)² y² + 4 9 3 1. a) Find an equation of the trace of S₂…

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Q: Problem 9. Show how to solve the following differential equation. You will need to use separation of…

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A: We can find rectangular equation.

Q: e function f(t) is defined by t-4 0<t≤2 5 2 <t<3 =h f(t + 3) = f(t). aluate f(-1.4), f(0), f(4.9),…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Prove the following set identities: (a) (AUB) nC = (ANC) U (BNC); (b) (AUB)-C=(A-C) U (B-C); (c)…

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Q: 1. If the entire region under a curve continuous on [a,b] is rotated about the x-axis, we obtain a:…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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A: Given that, 12 Blackpink fans are chosen to take a picture with Jennie, Lisa, Rose, and Jisoo. We…

Q: Problem 2. [1 122 Let A = 1 2 1 2 3 4 5 6 Please give a 4 by 4 orthogonal matrix V = [V₁ V2 V3 V4]…

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Q: Given that the Laplace transform of f(t) is s-3 s²2s +1 F(s) = = then the Laplace transform of…

A: Given that the Laplace transform of f(t) is  F(s)=s-3s2-2s+1 Then the Laplace transform of  f(t)e-2t…

Q: (x-1)² y² 4 9 3. Consider the surface S₂ with equation a) Find an equation of the trace of S₂ on the…

A: Quadric surface: A graph in the three dimensional space is called a quadric surface and the equation…

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A: We need to use properties and value of ln to find time t .

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Q: Problem 1. Let A E Fm,n be such that the associated linear map TEL(F, Fm) has rank r. (We are using…

A: Kindly refer to Step 2 for the solution.

Q: Problem 6. Let V be a finite dimensional vector space over F. This problem explores some…

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Q: Solve the recurrence equation In = 4.9n-1-3·gn-2 \n ≥ 2; go = 1, 9₁ =7

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the Laplace Transform of the following function. -{8 cost 0 <t< t2n f(t) =

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Q: equations, x=4t​, y=−5t+6​; −10≤t≤10. Complete parts​ (a) through​ (d) below.   Make a brief…

A: We can firstly complete the table and after that eliminate 't' and find curve .

Q: 31. In right triangle ABC, b= 11 and a= 18, and

A: Introduction: The length of the triangle is essentially related to the cosines of one of its angles…

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Q: In the Blackpink Born Pink Concert, if 12 lucky Blinks (Blackpink fans) were chosen to take a…

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Q: Let f: R²R be defined by { f(x, y) = x y = 0, y = 0. Show that the first partial derivatives exist…

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Q: Find the kernels and images of the following homomorphisms. Which of the homomorphisms are…

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Q: The equation x - 3y - z = 0 determines a plane in R3 . What is the matrix A in this equation? Which…

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Q: The inverse Laplace transform of 10s + 50 (s + 3) (s² + 4s +13)' is: peat + qeßt cos(wt) + reßt…

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Q: Find the inverse Z transform using two different methods: a) Partial fractions b) Direct division

A: We have to find the z transform of the given function using partial fraction and direct division.

Q: optimisation has to be used   answer for width is 36 and height is 45 cms

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Q: Find the center, foci, vertices, and asymptotes of the hyperbola. Then sketch the graph. (y-1)² 25 −…

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Q: Please explain what it means to: Plot an ordered pair (x, y) Check if an ordered pair is a solution…

A: Consider an ordered pair as (a,b) a point. • Plot this point on graph.   • To check if it is a…

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Q: A box has four red balls numbered 0 - 3 and six black balls numbered 4 - 9. Let A be the event that…

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