2. Suppose A, B, and C are sets. Prove that (AUB) \C CAU (B \ C).

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Q: Use Newton's method to approximate one negative root and one positive root for e = 4-x2 correct to s...

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to approximate t...

Q: 3.1.4. (-) For each of a, a', ß, B', characterize the simple graphs for which the value of the param...

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Q: dy dx take 2. Solve |xy+1 with ycu) =1 for finding y(o.075) h=0-025

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Q: .z³ = 8i

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Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. ...

A: This is problem of optimization and application of differential calculus.

Q: Given f(x) = - . Answer the following 6x – 1 - questions. (a) Find the domain of f. (b) Give two fun...

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Q: 4. a) Find the value of x where the function f(x) = (x- 4)3 is not differentiable. 2x-1 has a %3D b)...

A: (a) It is given that ;                          fx = x-423 , We have to find those points where f(x)...

Q: Consider the region R bounded by the curve y = In(r), the r- axis and the line = 5. %3D 3. Determine...

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Q: Compute the first 5 Legendre polynomi als , ..., L, (x), (These Solutions, P,x) , where n is a whole...

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Q: Suppose you roll a 20-sided die two times. What is the probability that the first time you will roll...

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Q: 1. In the following weighted voting system example, identify the quota and the weights. [115: 25, 35...

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

Q: and the max

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Q: y = x/J

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOS S = {(2...

A: According to our guidelines we can answer only three sub-parts and rest can be reposted. 

Q: For each of the following linear systems (a) Find the eigenvalues and their corresponding eigenvecto...

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Q: Consider the following diagonalizable matrix A. 1 -2 A = -2 5 -2 -6 -3 Find a diagonal matrix D and ...

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Q: QS A) Find IF y = - Ve IF y =-Vt and t sinx

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Q: gradients vector; z= ((1/2)- (x^2- y^2))-(e^(1- x^2 - y^2) - Find the gradient and explain your ob...

A: Introduction: The gradient is a property of a multivariable function. For a multivariable function z...

Q: (2) Find the value of B

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Q: Consider the two following lines in R?. y = 2x – 5 and (a) Find the point where those two lines inte...

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Q: Shrimp are often found in tropical climates and can be raised on farms or caught in the wild. Elena ...

A: We are given a record in which it is given the number of packages that raises shrimps in farms or in...

Q: Prove or disprove the following statement: Let A, B, X be sets. If X ⊆ A ∪ B, then X ⊆ A or X ⊆ B.

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Q: 2. a. Prove using the formal definition of a limit that the following sequence converges: -n3 + 2n –...

A: This is a problem of sequence.

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...

Q: Q1) For the functions yl-f1(x)-r y2-f2(x)-(*+2)%+1 a) Draw the functions e) Find their domains and r...

A: y1=x5, y2=(x+2)5+1 According to the guidelines I am answering first three parts only.

Q: Find the determinant by row reduction to echelon form. 1 5 -7 - 1 - 4 - 5 1 4 7 ... Use row operatio...

A: To determine the determinant of a matrix using row operation If the rows are interchanged then mult...

Q: T(n)=T(n-1)+n² for n>1, T(1)=1.

A: Since you have asked multiple questions so as per guidelines we will solve the first question for yo...

Q: if võ =o, Ji=1 and Ja= 2 estimute 3 %3D by constructing Logrange pelynemial, Ithen with the exact va...

A: It is given that 0=0, 1=1 and 4=2. Estimate the value of 3 by constructing Lagrange polynomial. Find...

Q: Explain what the gradient vector means and what the Euclidean norm of the gradient vector means in c...

A: Gradient vector: For a given function f(x,y,z), gradient vector is defined as ∇f=i∂∂x+j∂∂y+k∂∂zf=ifx...

Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 8j + 4k Find the ...

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Q: Find the singular value decompostion of the matrix. 1 1 -1 -1 1

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Q: Show that - a is not the inverse of a e N for the addition operation + on 1 N and - is not the inver...

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Q: (1) Vf (f is a scalar function) 2) ř(t) and r(s), t is time and s is arch length.

A: This is a problem of vector calculus.

Q: 3.) Let set S = {x, e*,sin x , cos x} be a solution to a 4th-order homogeneous differential equation...

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Q: Show all possible connected sub graphs of the following graph. How many of them are there refer to i...

A: Given: a graph

Q: what is the percent of change form 28 to 42?

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Q: Prove or disprove the following statement: There are real numbers a, b such that |a| + 2|b| = |2a − ...

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Q: let f:(a,b)→R be de fined by XƐQN(a,b) 2 f(x)=' 3 xƐQ'N(a,b) show that dif ferentable on f? why?

A: This is a problem of Differential Calculus.

Q: . If f is a continuous function from the metric space X to the metric space Y and {xn} is a sequence...

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Q: /Reverse the order of integration, then evaluate the following integ -ex dydx + [* [L | dydx I :

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Q: Find the Laplace transform of (t-2)2et-1u(t-2)

A: Using the properties of the Laplace transformation, it can be written that: Lut-cft=e-csLft+cLtneat=...

Q: 11. Prove each of the following by mathematical induction. a) 1.2.3 + 2.3.4 +....+ n (n + 1) (n + 2)...

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Q: 7.3 0.2 -3.7 1. Diagonalize A = -11.5 1.0 5.5 17.7 1.8 -9.31

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Q: Consider the weighted voting system [75: 50, 46, 35, 20, 3] 1. What is the smallest quota? Look at t...

A: Consider the weighted voting system 75:50, 46, 35, 20, 3.  

Q: 2 -4 -6 8 0 3 6 -3 Let A = and b = -3 5 6 -10 Yes + 1. Determine if b is a linear combination of aj ...

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Q: C b a What is the graph's vertex set V? V = { Ex: W, X } What is the graph's edge set E? E = { Ex: {...

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Q: Let T: R5 → R5  be a linear operator whose characteristic polynomial is pT(x) = (x−3)3(x−5)2. Let V3...

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Q: 10. Using Newton's method and an initial guess of xo = -3, approximate the solution of x3 – 3x + 3 =...

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to approximate t...

Q: Give the Taylor series about x = 0 representing the function. Find series of this function. f(x)= e ...

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