Show that both R and R² may be covered by countably many open balls.

Q: Give the dual of the following L. P. P. Max. : z = 2x1 + 3x2 + xXz Subject to : 4x + 3x2 + x3 = 6 X…

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Q: List all the subsets of {x, y, z, y}.

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Q: If u = 7i - 2j+3k and v = -i+3j + 5k then Proj,v is

A: Given, u=7i-2j+3kv=-i+3j+5k

Q: Prove that 1 1 16 ≤ (a+b+c+d) = + = + b + ax (²=²+ + + + + + + ² + 1 = 0) d for all positive numbers…

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Q: +5v

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Q: Suppose that Mrs. Jena (in the position of T) want to travel to the top of regions diagonally right…

A: To find the number of route to reach the top of the region :-

Q: Why the 1st row and 1st column of the JACOBIAN MATRX is always Zero ?

A: It is not necessary that the 1st row and the 1st column is  always zero. It may be possible or it…

Q: use Gauss Fordanmetrecd to Solbe the fellowsing setafeg Qe linear 2X+ -4x2 +6X3=5 A +3X2-783=; + 5…

A: Introduction: A system of linear equations can be solved using Gauss-Jordan elimination method. This…

Q: Suppose A if A and A" have different left null spaces then O a a= 0 O b. a= 15 Oc a= 6 1da=3

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Q: 13. Find the Cartesian product A x B of the sets A = {12, 9, 10} and B = {14,4}

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Q: Let u (9, 9, 8) and = (-9, -1, - 8). = Find proj, (u). -

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Q: The two open disks B((1, 2); 2) and B((-2, 1); 2) has intersection. True False

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Q: (a+b)(a+ba)(ao³ + bw) = a' +b*

A: The question is wrong. Ask your guide for correction.

Q: df Catx) is expandad

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Q: The steps of a staircase have a height h each. The ground level has a zero height. Three…

A: according to question steps of a staircase have a height h each. the ground level has a zero height.…

Q: Hiw.sLetAzi+j-2K,b=-i-k and c=zi+uj-zk,finds t Ax(B+C)- 3 CA-B)xC s-(AXB)ec 2- A (2B-c) 4-2Ax 3B 6-…

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Q: Given a set of points, the least-squares line formed by letting xbe the independent variable will…

A: Given: Given a set of points, the least-squares line formed by letting xbe the independent variable…

Q: Determine the numbers a such that x a (p) is solvable for p = 7, 11, and 13. %3D

A: Given, x3≡amod p At p=7 We know that suppose p is rational prime p≡1mod 3 then x3≡a mod p is…

Q: Show that S = {x* + 1, xª + x, xª + a², xª + æ*, xª} spans PA.

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Q: What if its a rectangle are there instance like that?

A: I will formulate a new problem of the same kind in more general sense for rectangle and then i will…

Q: 5. Find LU Factorizatioon of A = [5 2 1 1 3 2 7 1 2 3 2 1- Show the work!

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Q: (2VZ cV4z-x2 Evaluate S" dydxdz

A: This question is taken from the calculus in which we have to find the triple integral of the given…

Q: Find the oidered pair that is a member of both -2x+3y=19 and 2x+5y=53 or indicate if it does not…

A: We need to find ordered pair that is member of both given lines.

Q: 16) fueluete Sx Jx+3dx 4) 리/5(x+3)기2 -2(x+3)12+c 6) /5(x+3}51z . "/s (X+3)"z + C XJX+3 dx S/2 312 6)…

A: The given integral is ∫xx+3dx.

Q: Why the 1st row and 1st column of the JACOBIAN MATRX is always Zero ?

A: Jacobian matrix is a matrix of partial derivatives. Consider the functions, f1(x1,x2,...,xn),…

Q: Find the Polah farm of Z=(-1+)

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Q: Evaluate. 1) [(6x²+1) dx A) x + C B) 12x + C C) 2x3 + C D) 2x3 + x + C 1)

A: according to bartleby guide line we do only first part of multiple questions.please re-post other…

Q: f U1 and U2 are both upper triangular matrices, and L1 and L2 are lower triangular which of the…

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Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?