Question Prove that if AUB= A is true, then ANB = B is also true, AND CONVERSELY. %3D

Q: Let Z be the set of all integers and Q be the set of all rational numbers and R be the set of all re...

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Q: x-1 -dx X +x

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Q: the figure to find BA U BC. F A B.

A: In this question, the concept of Union is applied. Union The union of two or more vectors results in...

Q: The following gas stations were cited for irregular dispensation by the Department of Agriculture. W...

A: The gas stations were cited for irregular dispensation by the department of agriculture.   Cheating ...

Q: 1. y=-3z + 2 and -z+ 3y -6 2 y---4 4 and y-4 3. y= 2z + 10 and 2y - 4z=8

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Q: 6. Find the quotient for 4 15 3.

A: To find  415  ÷23

Q: What is the coefficient of x° in the expansion of (x + 1)14 + x² (x – 1)13?

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Q: If s(t) = 6t3 – 9t2 – 36t + 7, represent the position of a particle traveling along a horizontal lin...

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Q: 3. Given the following system: x, - 2x, + 2x, + 3x, = -1 -3x, + 6x, + x, + 5x, =-11 2x, %3D 4x, 2x, ...

A: Given: Let us consider the given systems, x1-2x2+2x3+3x4=-1 -3x1+6x2+x3+5x4=-11 2x1-4x2-2x3-6x4=10 (...

Q: ZQOT and are vertical angles? T Q H B O ZTOY O ZYOQ O ZHOY

A: We know that the pair of opposite angles made by two intersecting lines are called vertical angles.

Q: Find the volume and surface area of the figure below. Round your answer to the nearest hundredths pl...

A: Note that the volume of the solid is the volume of the cylinder and volume of cone combined. Formula...

Q: Use substitution method to prove step-by-step that (P^Q)^(P = ¬(Q^R))^(S = R) = –¬S.

A: We are asked to prove the following using the substitution method, P∧Q∧P⇒~Q∧R∧S⇒R⇒~S We will show th...

Q: а. Give two different topological sorts of G. b. Is each of the following orderings a topological so...

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Q: 2.6. Let ƒ be continuous on [0, a]. If x e [0, a], define fo(x) = f(x) and let %3D 1 fa+1(x) = - 1)"...

A: We will use the basic knowledge of integral calculus to answer this question. Note that we can only ...

Q: Carinderia ni Aling Fely offers a promotion of choosing a meal consisting of 1 soup, 1 main dish, 1 ...

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Q: Which of the following sets is NOT an empty set? Select one: a. The set of natural numbers less than...

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Q: 2. State whether each statement is true always, sometimes, or never for a polynomial function f (x)....

A: Let us consider a function f(x) then the maxima and minima  is obtained as Find the critical point ...

Q: Find the solution of h (z) = x - sin z = 0.1 using False Position method between 0.5 and 1.2 (use th...

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Q: A turboprop plane flying with the wind flew 700 mi in 5 h. Flying against the wind, the plane requir...

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Q: Find the general function M(x, y) so that the equation is M(x, y) dx + (sin xe ^y + xy) dy = 0

A: The given equation is M(x,y)dx+(sinxey+xy)dy=0We have to find general function M(x,y) Exact Differen...

Q: The value of x that satisfies f(x)= 0 is called the (A) root of an equation f(x)=D0 (B) root of a fu...

A: Real valued function  

Q: (X1, X2) = -x2, Q(x1, x2) = x1; D = {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. (X1, 82) (¤1, P2) = 2x1 – 3x...

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Q: If f(x) has a root between a & b then f(a) and f(b) are O both positive O both negative O oppositely...

A: It is directly Oppositely signed by Bolzano Theorem. But, I have explained without using Bolzano The...

Q: Identify the holes and vertical asymptotes of each. x3-5x2+ 4x 9) f(x) = 3x2-9x

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Q: 5. Find the inverse, if it exists, of each of the following: 1 2 0 -2 0 1 -2 2 1 1 1 (a) A= 1 0. 3 1...

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Q: Let Z be the set of all integers and Q be the set of u rational numbers and R be the set of all real...

A: Given ℤ be set of integers ℚ be the set of all rational numbers and ℝ be the set of all real numbers...

Q: pose a soccer team has a record of 10 wins, ys can this record occur? 101

A: Introduction: A permutation is a specific configuration of objects. Here, set members or elements ar...

Q: See Definition 3.1.2 for lim an = ∞. n-00 if lim an = o, prove that the sequence (an) does not conve...

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Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(æ') ...

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Q: What is the approximate value of the first derivative of S(x)=-01x-0.15x-0. 5x-0.25x +1. 2 at x-0.75...

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Q: Evaluate, (z1 + z2)^2 Select the correct response: (z1)^2 + (z2)^2 - 2 z1 x z2 (21 + z2) (z1 – 22) (...

A: Concept: Here the following identity is used: a+b2=a2+2ab+b2 where a and b are any variables.

Q: Which of the following is always equal to a. A c. A b. d. A

A: We have to find from given options which is equal to AT-1.

Q: 6. The diagram below shows a rectangle inscribed in a right triangle having a base of 12m and a heig...

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Q: X'0, X1,* , Xn E (a, b) are arbitrary points such that x; # x; for i # j. Fur- thermore, let P be a ...

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Q: Fred bought a soft drink for 3 dollars and 6 candy bars. He spent a total of 21 dollars. How much di...

A: It is given that the price of a soft drink is 3 dollars and Fred spent a total of 21 dollars. We hav...

Q: 1) Suppose the charge on a capacitor in a simple electric circuit is governed by the IVP 2y" + y + 2...

A: 2y''+y'+2y=f(t),  y(0)=0, y'(0)=0 Put f(t)=δ(t-5)      at t0=5 ⇒2y''+y'+2y=δ(t-5)  

Q: Solve the system of nonlinear equations algebraically & graphically.  (A) x-5 = y (B) x2+y2=53

A: Given equations: x-5=y x2+y2=53 Algebric solution: We shall use substitution. From the first equatio...

Q: Find the Laplace transform of d'v dr wt 3EI where satisfies the conditions v(0) =5 and v(0) = 100. U...

A: Note:- Laplace Transform :- L(v''t ) = s2 v(s) -s v(0) -v'(0)L(v't ) = s v(s) - v(0) L(tn) =n!sn+1  ...

Q: Solve each of the following systems by graphing and determine the solution/s: 1. 4. Зх — у %3D 2 x +...

A: System of equation is a collection of equations of one or more variables . The solution of the syste...

Q: 2. Method of variation of parameters x" + 2x' + 8x = 2e-2t – e-t,x(0) = 1,x'(0) = 0 t+1 2x" + x' + 8...

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Q: Write the first 5 terms of the sequences with general terms an below and indicate whether they are c...

A: Given series (i) an=3n+11-2n , (ii) an=(4n+1)3-n , (iii) an=3+(-1)n  and (iv) an=1+(-1)nn4 We have t...

Q: (P^Q)^(P = ¬(Q^R))^(S = R) = -S

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Q: Any possible arrangement of 8 letters is considered a word.  The letters are taken from 21 consonant...

A: AS

Q: When N is divided by 120 the remainder is : When N is divided by 28 the remainder is 3 Find the leas...

A: Given: N is divisible by 28 and remainder is 3 N is divisible by 120 and remainder is 3.

Q: g: Q→Q defined as g(x) = 7x+16

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Q: 3. Determine the condition on a, b, and c so that the systems in unknowns x1, X2, and x3 has a solut...

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Q: disprove

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Q: Q1 Please provide justified answer

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Q: It is the difference between the true value (analytical) and the approximate value (numerical) O pre...

A: Definition :.                The difference between true value  (analytical  ) and the approximate v...

Q: The Propositions (~(~q^ (p→q))→) is 1. Tautology 2. Contradiction 3. Not Tautology 4. Equivalent 1 2...

A: The truth table of p→q, p∧q,¬p p q p→q p∧q ¬p T T T T F T F F F F F T T F T F F T F T