6. Prove the second Distributive Law and the second Absorption Law of Set Identities.

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Q: Let A = (1,1) and B = (1,5) be in the Poincar ́e plane. Find C = (xC,yC) for which xC > 1 and…

A: The natural point that comes in our mind is (2,6).

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Q: Prove that the following statements are logically equivalent using a truth table. a. P Q = (Q) ⇒…

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Q: Based on the definition of divided difference, show that f[x1,x2,x3] = f[x2,x1,x3

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Q: Find a possible formula of the form A sin x + k or B cos x +k for the trigonometric function whose…

A: Find a possible formula of the form A sin x + k or B cos x +k for the trigonometric function

Q: Solve y'= r²(1 + y²), y(0) = √3 y(t) =

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Q: Give an example of an infinite collection of open sets whose intersection is not open.

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Q: Problem 5. Name one vector in R³ that is in the span of vector that is not in the span of 3 1 7 and…

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A: Here taking square root and floor function we have We get Put in equation to find such n

Q: Suppose k element R is a constant. Prove that. lim (x - - > a) k=k

A: Definition of a Limit: The limit of f(x) as x→a is denoted by limx→af(x)=L if, for every positive…

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A: Th

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Q: Noah finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms…

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Q: In a vehicle test lab, the speed of a car, v in km/h, at a time of thours is represented by v(t) =…

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Q: 3. Determine the 4th roots of -1.25-j2.3.

A: Given,          To determine the roots of the given complex number.

Q: 5.0 150-

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Q: The graph of y = = f(t)dt, where f is a piecewise constant function, is shown here. (a) Over which…

A: according to guidelines we can do only first three sub parts thank youWe have to find out the value…

Q: Here are the data for the past 21 months for actual sales of a particular product:   LAST YEAR THIS…

A: LAST YEARTHIS…

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Q: a) Prove that |x| ≤ 2 implies that |x² − 4| ≤ 4|x − 21.

A: To prove the given statement, let's break it down into a few steps: Starting with the assumption…

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Q: Let the following matrices be: [1 [3 A = 13² 2¹] A-G2)B-C-² ³- B= -1 3] - 13 10.- Obtain the…

A: To compute the expression  we need the following matrices.

Q: Let A Describe all solutions of Az = 0. x = x₂ [1 0 0 0 -2 -3 1 -1 4] 0 1 1 0 1 0 0 0 1 3 0 000 0…

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Q: Let A = Describe all solutions of Az = 0. x = x2 -4 -5 4 -16 -20 -16 +x3 +x4

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Q: Sketch each of the following families of curves F, find the orthogonal trajectories T , and add them…

A: Let f(r,θ,c)=0 .....(1) be an equation of the given family.  Where c is a parameter. Differentiating…

Q: Determine which propositions below are logically equivalent to the following proposition: qp р

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Q: |Z| ≤ Rez+ Im z

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Q: If A and B are 2 × 2 orthogonal matrices, show AB is also orthogonal.

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Q: Let a = 308 and b = 310. Every solution of the linear Diophantine equation is of the form ax+by = a…

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Q: 2. Consider the Newton polynomial Pn(x) = ao+a1(xr-xo) + a₂(x-xo)(x − x₁) +... +an(x-xo)(x -…

A: Given that   that interpolate then we have Now  ,       putting

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Q: The following data were collected. x 35 39 42 45 56 y 17 19 25 27 30 write an equation that…

A: Given data isWe have to fit the linear equation of the form

Q: Let DCR and a € R. Prove that, if there exists a sequence (n) in D\{a} such that na, then a is a…

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Q: For each English sentence given below, determine whether an inclusive or, or an exclusive or, is…

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Q: Consider a time-varying population that follows the logistic population model. The population has a…

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