Prove that if X ∩ Y = X ∩ Z and X ∪ Y = X ∪ Z, then Y = Z for all sets X, Y , and Z.

Q: Suppose f(x, y) = xe -8x²-8y². Answer the following. 1. Find the local maxima of f. List your…

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Q: Prove & (2n) = $ &(n) if n is odd. ( 2. p(n) if n is even,

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Q: 3. a) A function h is defined by: h(q) = aq³+q² + bq - 240 When h(q) is divided by (4 - q), the…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Given: AC BD and CAB ZDBA. Prove: ABC ABAD. CAB LOBA

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Q: Find the minimum and maximum values of z= 8x + 3y, if possible, for the following set of…

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Q: By factorization, we noted in the LU Decomposition method of solving linear systems (i.e., typically…

A: The given matrix is A=3111311a3. Let A=LU where L is lower triangular matrix and U is upper…

Q: min z = 2x1 + 3x2 + 4x3 s.t. Xx1-x2 + x3 10 x12x2 + 3x3 ≥ 6 3x14x2 + 5x3 ≥ 15 X1, X2, X30

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Q: 1. All straight line with x-intercept at x=2.

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Q: Suppose that A is an n x n matrix whose characteristic polynomial splits and that the distinct…

A: Let A be an n×n matrix whose characteristic polynomial splits. Let λ1,λ2,...,λk be distinct…

Q: 16.) Differentiate implicitly to find dy/dx. x² + 2xy = 3y²

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Q: 5. (10xy+8y² − 32y+7)dx + 2(x² + 2xy-4x)dy=0

A: Solution to the differential equation

Q: Partial Solution of (4+sine") y'= e*((sec²e²"-y cose"); y (lnx) = 1/4

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Q: Question 5 At a price of $6 per ticket, a musical theater group can fill every seat in the theater,…

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Q: -x-2 Prove that the inverse of RF f(x) = - is just the same with itself. 5x+1 Indicate the domain…

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Q: B = { [ard) CR/a<"} The topulazy generated by p ERR and ху Ther So Let It topology x We is open the…

A: We have to transcribe the given text in digital format.

Q: Problem 3. Determine whether the following polynomials are linearly independent in the vector space…

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Q: The vector field V(r) = v(p) where p = √² + y², and is the unit vector of polar coordinate. √/z²+y²…

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Q: Let E be a finite extension of R. Use the fact that C is algebraicallyclosed to prove that E = C or…

A: Given : E Is finite extension of ℝ To show : E= ℂ or E= ℝ

Q: Consider the graph below E 4 A O 11 05 O 24 11 09 3 F 14 B 7 10, 6 9 C 15 5 Using Djisktra's…

A: We consider given graph and minimum distance between vertex A to vertex C.

Q: Let f(n) = 2" and g(n) = 3". Which of the following statements is true? f(n) = o(g(n)) f(n) = 0 (g…

A: For any n ≥ 1, 0 &lt; f(n) = 2n &lt; 3n = g(n)  =&gt; now, limn→∞ f(n)/g(n) = limn→∞ 2n/3n…

Q: (a) Find the components of the vector with the initial point P₁ = (4,1, -2) and the terminal point…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider the following assignment problem. A construction company has four large bulldozers located…

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Q: 2+4-i z+i Answers: (a) the centre of the circle is (b) the radius of the circle is is a circle. Find…

A: We will replace z=x+iy to find equation in cartesian form . Then by using standard form of circle we…

Q: --hours for assembly ng. The maximum lab bly and finishing are a system of linear ine on.

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Q: Problem 8 let f(x) = x ₁ extensions of Period 4. Csine survey: Sme series 0 nzl (-1) vel n Us (2n-1)…

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Q: Use the concept that y = c, -∞0 < x < ∞, is a constant function if and only if y' = 0 to determine…

A: The given differential equation 3xy'+2y=4 We have to find the constant solution of the differential…

Q: Problem 3. We want to estimate [2²/13 X dx. We will use the right sum, left sum, midpoint rule and…

A: We will divide range of interval into 2 as n=2 and then find Left , Right and mid point sum

Q: As you did in exponential derivatives, your task is to find a formula for finding the slope at any…

A: We have to find a formula for finding the slope at any point of y=x2, by using the secant method.

Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: he table below shows the mark scheme for three students doing Business and Economic Calculus.…

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Q: Problem 13. Two lines in the plane are perpendicular when the product of their slopes is -1. Apply…

A: We have given that two lines in the plane are perpendicular when the product of their slopes is -1.…

Q: Consider the shaded region shown in the figure below. What is the largest output value of the…

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Q: Given: L: R³ R³, L(x, y, z) = (x+2y-z, -y,x+7z), ordered bases B = {(1, 0, 0), (0, 1,0), (0, 0, 1)},…

A: To determine the matrix of a linear transformation  Find the image of the basis vector. Determine…

Q: Determine the truth value of the following biconditional statements if A, B, and C are known to be…

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Q: Solve completely. (81x-2) (27x+1)= 92x-3

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Q: 15.) Maximizing area. A lifeguard needs to rope off a rectangular swimming area in front of Long…

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Q: Investigate the direction of convexity of the curve defined by the parametric…

A: To Determine: The direction of convexity of parametric curves x(t)=a(t-sint) , y(t)=a(1-cost) ,…

Q: Find the spectral decomposition of A given that A € M3x×3 (C) is a normal matrix with eigenvalues 1…

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Q: Domain of f(x)

A: we shall solve first three subparts only as per  the company guidelines. For others kindly post…

Q: n does not equal to 22K+1. It should b 2^2k+1.

A: As per the question we are given a number n as the following form :  n = 22k+1   And we have to show…

Q: #3 #4 #5 y=tan(x/3) y=sin(0.5√√x)/x y=e³ + x at x = 3 at x = 1 at x = 2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: f(x): = - 7x + 3 2x 8 on interval [-3,0] extreme value theorem applies O extreme value theorem does…

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Q: Let (a) U1 = , U₂ = 2 (i) 2 Find the transition matrix corresponding to the change of basis from…

A: u1=111, u2=122, u1=234 we know that e1=100, e2=010, e3=001 are standard basis Let us consider A={…

Q: let B is a basis for a topology on X. we have to show that the topology spanned by B is equal to the…

A: Let β is a basis for a topology on x. we have to shown that the topology spanned by β is equal to…

Q: Obtain the general solution to the equation. dx +2x=6y5 dy The general solution is x(y)=, ignoring…

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Q: Convert x/(x-9)(x-10)(x-11) to factor polynomial

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Q: a) Write an algebraic expression that describes the pattern rule for the number of red tiles. Figure…

A: a) The algebraic expression for the red tiles is  2,4,6..... In general the algebraic expression for…

Q: (x²y³ + y + cos(2x)) dx + (x³y² + x +e³y)dy = 0

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Q: Let A be an n × n matrix and let λ be an eigenvalue of A. Show that if B is any matrix that commutes…

A: Given that A be an n×n matrix and λ be an eigenvalue of A. B is any matrix that commutes with A We…

Q: Let f:R-R be defined by f(x)= if xERQ if xe Q A Find x>2 such that w, (x)=4 (enter your answer in…

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