2. The difference between the greatest and least values of the function T T f(x) = sin 2x - x on - 2 2 (a) 5+ 2 3 + v2 (b) 6. (c) (d) Tt is

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

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A: Given,ez=-2⇒z = ln(-2) = ln(-2+0i)

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Q: 1 3 5. -2 ? Why? 5. -2 2 B = 3 -1

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Q: 2. Use membership tables to prove that A – (Bn C) = (A – B) U (A – C). -

A: Given, To prove: A-(B∩C) = (A-B) ∪ (A-C) Using membership table A B C B∩C A-B A-C A-(B∩C) (A-B) ∪…

Q: II. Let U = R . 아} = {x €R|x° – 14x³ + 45x = 0 J= {x€R]x° 2}. Find the following. All infinite sets…

A: 1. J' is the complement of the J   since we have  J= {x∈R s.t x≤6 } Hence  J' ={x∈R s.t.x&gt;6}…

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A: 11) "J={x∈ℤ:0&lt;x&lt;4}, then J has exactly 9 subsets. "  J={1,2,3} .the cardinality of the set J…

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A: The property must be given that  A intersection B = phi  So as we know A delta B = (A union B )- (A…

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Q: Express each of the following in the form a + bi. 4. cosh(1 – i2)

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Q: Q4) Solve the boundary value problem y - 3y' + 2y 0 with y'(1) = 1, y(3) = 2e* – e? h = 0.5 %3D %3D

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A: Here we use graphical method to solve this

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A: Given maximize problem is max fx,y=-4x2-2xy-4y2subject tox+2y≤22x-y≤-1x,y≥0 For the  KKT condition…

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Q: 1. Use Venn diagrams to exhibit A – (Bn C) = (A – B) U(A – C). | |

A: Given,  To Prove: A-(B∩C) = (A-B)∪(A-C) Using Venn diagram, A (B∩C) A-(B∩C)

Q: Do as indicated. 1. Use Venn diagrams to exhibit A - (BnC) = (A – B) U (A – C). %3D |

A: Let the sets A, B and C be as shown below.

Q: 2. Use membership tables to prove that A - (BnC) = (A – B) U (A – C). |

A: We know that,  1)AUB=1 if one of A or B is 1. 2) AUB=0 if both A &amp; B is 0. 3) A∩B=1 if both A…

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A: Given, The solid that is bounded on the front and back by the planes x=1 and x=2,on the sides by the…

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A: Given ,                                                                             F(x,y) =…

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Q: Let V and V' be finite dimensional vector spaces over a field F and B = {b1, ba,., b,} and B' =…

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

A: We want to prove the set identity A-(B∩C)=(A-B)∪(A-C) using membership table . Here we will use…

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Q: Consider the following matrix A, where 0 -4 -6 0 -3 A = -1 1 2 5 Find an invertible matrix P and a…

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Q: (a) Find the first order partial derivatives, and ay' YOO of z = x'y+x In y + y°e* F OL LECHMoroGA…

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Q: Question 3 (4-u (2y+z -5y over surface S: f(u, v) =2+v ), (u, v) E [-1,1] x Cive surface integral of…

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Q: Putting V(x) = e¯*U(e*) show that 1 lim sup | V(x)| = lim sup |V(s)|ds. x00

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Q: Questlon 1 The graph of f is shown in Figure 1. 1 1 Figure 1 Based on Figure 1, explain why the…

A: The Taylor series of a real or complex-valued function f (x) that is infinitely differentiable at a…

Q: 6. Setting æ = cos 0 show that T,(x) = [(r + VI– a²)" + (x – v1- x²)"]

A: