Prove or disprove the following statement: Let A, B be two sets such that A ∩ B = Φ. Then P(A)- P(B) ⊆P(A - B), where P(S) is the power set of a set S.

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A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub-...

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Q: Level B Test Name (8 as Factor) 8 8 х 8 10 8 х 8 х 7 х 3 4 8 8. х 8 х 2 х 8 х 8 х 8 8. 8 10 8 х 8 х ...

A: simple mathematics problem,  with 8 multiplication 

Q: Jacobi iteration method for finding the root of linear equations 10 4. 4 13 4 10 8. = 11 4. 10X3 25

A: From the given equation: x1k+1=110(13-4x2k-4x3k)x2k+1=110(11-4x1k-8x3k)x3k+1=110(25-4x1k-8x2k) Initi...

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Q: • TT /2 2 cos x dx 1+ (sin x)² п/2 dx V-x² + 4x – 3 2

A: d) ∫-π2π2  2cosx dx1+ (sinx)2Let sinx = t∫-11 2dt1+t2 = 2  [tan-1t]-11 = 2 [ π4+ π4]= π

Q: Cmplet 3- following table: 1.5 1,75 2.71828 5.75460

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Q: Determine whether the following series is convergent or divergent: (4n)2n evnn2n n=1

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Q: Document 83(19... u se Newton Ruphsun me thud to sulve II

A: Here f(x) = ex - 3x ∴ f′(x) = ex - 3x0 = 0.5

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A: Given question related to the surface area of cylinder . Solution is given below

Q: Salve the fullowing equations using bisectrion thed me X siAx+CusX= fors] Xost

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Q: 1 To find the number of toys a company should manufacture per day to optimally use their injection-m...

A: Given : 0.33330.16670.66670.16670.66670.33331.05-10x1x2x3=75612600  

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assum...

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Q: 19. f(x, y) = x + y+y+ 1, constrained to the triangle with vertices (0, 1), (-1,–1) and (1, +1). %3D

A: As per bartleby guidelines i can answer only one question, kinldy upload rest questions separately. ...

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Q: Use metaphor/layman's term to discuss Bisection method for solving nonlinear equations.

A: This is a problem of Numerical Analysis.

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Q: Use Newton-Raphson Method to determine the root for the equation: S(z) = - tolerance is 0.00001. 4z ...

A: Follow the steps below to obtain the real root of the equation: f(x)=0 using Newton-Raphson method: ...

Q: P23.1. Consider TO 11 07 1 -11-1 1 01 0 [i 11 1 A and b:= Show that a least-squares solution to Ax=b...

A: Given the matrices                      A = 01101-11-110101111 and b = 53-11 . We have to show that ...

Q: a) ] Let W = span{(1, 1,0), (1,0, 1), (2, 1, 1), (0, 1, –1)}. i. Is (9,0,9) in W? Justify your answe...

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A: We have

Q: In the quadrilateral ABCD, BC = BA and CD> AD; prove that ZBAD> ZBCD.

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Q: 1. Evaluate the following integrals: e) . dx J V-x² + 4x f) . dx (x – 2)Vx² – 4x + 3 -

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Q: Peter has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money...

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Q: Prove by contradiction that if m, n € Z, then m² - n is even or m-n-1 is even.

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Q: Exerceise (6) Prove that Jy2 = 2 sinx

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Q: sec 90

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Q: Find the determinant by row reduction to echelon form. 1 1 9 6 1 -7 3 - 1 0 - 8 4 4 -4 30 0

A: 1-19601-73-10-844-4300R3  →R3+ R1,   R4 → R4 - 4 R11-19601-730-111000-6-24

Q: Discrete Structures Using proof by cases, prove that if x is a real number then |x - 1| + |x + 5|  ...

A: This is a problem of solution space.

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Q: dy dx take 2. Solve xy +1 with ycu) = 1 for finding yo.075) %3D h=0-025

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Q: + .... Ex. 5. Prove that P,(-) = P,(-}) P,(4) + P,(-1)P2m -1 () + -. Pa(-)P.().

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Q: Give 2 examples of Continuity and Discontinuity. Show your complete solution using the three conditi...

A: We know that a function fx is continuous at a point x=a if limx→a- fx=limx→a+ fx=fa, where limx→a- f...

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Q: Follow Up: Find the exact value of all 6 trig functions at the given angle. Rationalize all denomina...

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Q: | 20 yd 80 yd 40 yd An athletic field is a 40 yd - by - 80 yd rectangle, with a semicircle at each o...

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Q: Consider the initial value problem y = sin(xt), y(4) = 1 Use Euler's Method with five steps to appro...

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Q: c. 3rdorder Use the data given below to estimate Constructing: a. Linear polynemial 2. 5 b. Quadrati...

A: Introduction: Types of polynomials are given by, Linear polynomial-f(x)=ax+b Quadratic polynomial-f(...

Q: 3. * - (, ) ×+ () 4. * - (; 1)x•(;) %3D

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Q: Imagine you have some workers and some handheld computers that you can use to take inventory at a wa...

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Q: Use trigonometric identities to find general solutions of the equation. y" +49y = sin "x The general...

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Q: 20 2 Compute det B* where B = 113 2 2 2

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