(B)JE w = x*+y+z° and x = PSin ø cos@ »y=pSing Sino and z- Pcoseo prove that -2P Cos 2Ø and' %3D

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Q: 3. Using Gauss - Jordan Elimination a.x + 3y + 2z=2 b.2x + 7y + 7z=-1 c.2x + 5y + 2z= 7

A: Solution:-

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A: This is a problem of Logic.

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A: Solution:-As per guidelines I submit first question only.

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A: First we prove it and next we illustrated by examples.

Q: n-1 Σ 5. Determine if the series (n– 3) converge, diverge absolutely n=2 or converge conditionally.

A: Solution:-

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A: (6) Let A = { x ∈ R |  x2 = 64}, then  |P(A)| = 16 False A = {-8,8}, then |A| = 2 So, |P(A)| = 22 =…

Q: 4.A.3. Given any two real numbers, there is a real numbers in between. b. For any two such that a…

A: To choose correct option from given question.

Q: 11. If J = {x € Z|0< x < 4}, then J has exactly 9 subsets.

A: We have check given statement is true or false.

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Q: 3. Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

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Q: a) b) c) d) A = A = T A = (1 f) 3 -B-(²) -7) 3 -1 2 A = -2), B = (1) 28 A = 4-66 $). B = (3 B = 4 8…

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Q: Use membership tables to prove that A – (Bn C) = (A – B) U (A – C). %3D |

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Q: 1. Using Cramer's Rule а.2х + у —z%3D33 b.x + y+z= 1 с.X-2 у—3z%%34 |

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Q: Sketch the graph of f(x) = 2Vx + Vx*.

A: Graph of f(x) :

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Q: 7. Let D = {x € Q|x² = 5}. Then, D is singleton. 8. Let H = {x € R| -1<x<1}. Then, H is finite. %3D…

A: Note:- As per our guidelines, we can answer the  three sub-parts of this problem as exactly three…

Q: a finite – dimensional subspace of an inner product space -

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Q: Solve for the laplace transform using the formula. F(t) = e-2t-5 G(t) = t5 - e-t + 5(t – 1)2

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Q: SOLVE FOR INVERSE LAPLACE TRANSFORM 3s + 2 4s2 + 12s + 9

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Q: dz and ду Suppose z is a function of x and y, and tan Vy² + x² = 2*e6y. Solve for

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A: Solution :-

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Q: TRUE OR FALSE 16. The exclusive disjunction of -1 < 1 and – 1+1 = 0 is true. 17. A conditional…

A: Answer (16) - FALSE

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Q: Q2/I2 2 =1 xy+y" x = Cose y= Sine find the %3D » e = 7.

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Q: Q4: Solve the following differential equation using Laplace transform (0) y" = 4y, – 4e' yı(0) = 2…

A: The solution is given as

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Q: n Reszk = 0. k=1

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