1. Let (A, B, C) be a partition of S = and (2) d e A. What can we say about |C|, the size of C? Justify your answer. {a, b, c, d, e, f, g} satisfying both that (1) |A| < |B| < |C|

Q: Solve the system 4.x1 -5x2 +4x3 +4x4 +x2 +3r3 +2x4 3x1 -4x2 +7x3 +6x4 = 2x1 -2r2 -6x3 -4x4 = 3 5 8 +...

A: Given system of equation is 4x1−5x2+4x3+4x4=3−x1+x2+3x3+2x4=53x1−4x2+7x3+6x4=82x1−2x2−6x3−4x4=−10......

Q: Consider the Following matrise A=: 2 3 4 a) Find all the egenalues and eigenvectors b) Find the tran...

A:

Q: In a Venn diagram, the overlap of two circles represents the difference between the numbers of eleme...

A: Venn diagram

Q: 2x4 + 9x + 18 Consider the rational function f(x) 7x2 – 11 a. What monomial expression best estimate...

A:

Q: Suppose that a function y = f(x) is increasing on the interval [5,7]. (a) Over what interval is the ...

A:

Q: A radioactive material went through a decaying process as given in the followin function f(t): f(t) ...

A: Given  f(t)=5e^-at We need to sketch the decaying process and find Fourier transform

Q: 1*) Let X = {1,2, 3}, Y = {2,3, 4}, and Z = {1,2}. (a) Define a function f: Z → X that is one-to-one...

A:

Q: Show that if T: Rº → R® has 6 distinct eigenvalues and S has the same eigenvectors as T , then ST = ...

A:

Q: Determine the general expression for the four roots of v3 – i

A:

Q: there is a way. If we can use the definition to prove some general rules about limits then we could ...

A:

Q: 學 Consider the Domineering positions and (a) Show that both a and B are type N by finding the first ...

A:

Q: Let x be a function of t. (a) If the acceleration a = d²x = * = Asin(wt) for some constants A and w ...

A: Given that d2xdt2=Asinωt To find the solution for x(t).

Q: The probability that it will rain this week is 20%. What are the odds in favor of raining this week?...

A:

Q: {x} € 1, Show that property (3) of a matroid implies: For any S e there exists y € S, such that S \ ...

A: Following is the definition of a matroid. A finite matroid M is a pair (E,?), where E is a finite s...

Q: Below is a function f. We are interested in how changes in the values of the input variables x, y or...

A:

Q: Let p E Z Z be a prime number such that p > 2. Let n = 2p. Find all positive %3D divisors of n. NO J...

A:

Q: 8. 3. F(s)= 3 3s +12 s – 49 15 4. F(s)= (completing the square) s' +4s+ 29

A:

Q: B 24 12 17 6. 16 14 38 13 How many elements are in AU B? 41 78 21 ) 92

A:

Q: Show that the subugroup generated by any two distinct elements of order 2 in S3 is all of S3.

A: We have to show that the subgroup generated by any two distinct elements of order 2 in S3 is all of ...

Q: Integrate the function (x^2 + y^2)^(1/4) over the region E that is bounded below by the xy plane and...

A:

Q: defined are the relations ≡6 and ≡10 to be certain subsets of Z^2 . Their intersection R = (≡6)∩(≡10...

A: A relation R on a set X is a subset of X×X. That is R⊆X×X. (b). Let ≡6 and ≡10 are two subset on the...

Q: 1. Prove the following statement. Ve 21 3d 1 Vr 2 d: c<3r. 2. Disprove the following statement. For ...

A: The complete solutions are given below

Q: The letters A,A,A,B,B,C,C,D,E,F,G,H are printed on identical cards (one letter on each card). The ca...

A: The number of arrangments of some objects from a given number of objects is related to permutation. ...

Q: 6. Using the previous result, solve the system of equations 2x + z = 2 y = 8 x + 2y + 3z = 4 %3D

A:

Q: For questions 1-6,consider the negion Rin the xy-plane bounded by y=1x-x* and y=x b set yo, but clo ...

A:

Q: SCENARIO # 2 p: Pam works as a sales associate. q: Bryan has a temporary position in the office. r: ...

A:

Q: 10. 2x"(t) – 2r'(1) – 4x(t) = 2e"

A: Let us consider the second order linear differential equation Y''+ay'+cy=Q(x) then to solve the equa...

Q: Find the due was invested at 10% interest of interest it PI20.000.00 for I60 das usina Exact Amount ...

A: We need to find the Interest using the formula I=PTR/100  

Q: Find the kernel of linear map L:R R given by L(x,y,z)%3D(0,z,y)?

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: (a) Give an example of a 3 x 3 matrix A with C(A) = R³. (b) Give an example of a 3 × 3 matrix A with...

A:

Q: Let G be a cyclic group ; G=, then (c*b)^=c4* b4 for all a, c, b EG.

A:

Q: 10 U 9. 8 10 -9 10 -6 -8 10 Use the dropdown menus and answer blanks below to prove the triangle is ...

A:

Q: Lonsider the Following matrix A= 2 3 4 a) Find all the egenalues and eigenvectors b) Find the transf...

A:

Q: 2+cos(A+B+C) Calculate to 3 S.F. the area given by dr. B+C sin(r) area =

A:

Q: Derive the Simpson rule with f(x) = ax^2 + bx + c going through points xi−1, xi, and xi+1. Determine...

A:

Q: Consider the Following matrix A= 2 3 4 a) Find all the epenalues and eigenvectors b) Find the transf...

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The given matrix ...

Q: The temperature distribution u(x, t) of the one-dimensional gold rod is governed by the heat equatio...

A:

Q: Provide the negation of the statement, giving your answer without using any logical negation symbol....

A: To find- Provide the negation of the statement, giving your answer without using any logical negatio...

Q: The diagram shows a triangle ABC in which angle A = 90°. Sides AB and AC are V5-2 and Calculators mu...

A:

Q: 0.5 and h = 0.05 find the approximate value of Y = In(1/X) using a 2nd order Taylor's If Xo %3D seri...

A: Here X0 = 0.5 and h = 0.05, using this we need to find the value of ln(x) at x1 = 0.55 x1 = x0+h Sin...

Q: Find (with proof) all the pairs p, q of positive prime numbers that satisfy p? – 2q? = 1.

A:

Q: The velocity v of a falling parachutist is given by v = gm/c (1 - e^-(c/m)t) where g = 9.8 m/s^2. Fo...

A: The following formulae are used to obtain the solution. Incremental search method: Let x0 be the in...

Q: metric function. Y = -1/2 sec (1/2) x. Start by drawing 3 consecutive asymptotes. Then plot two poin...

A: Given,           y=-12sec12x

Q: Problem 3. Use cylindrical or spherical coordinates to evaluate the integral. 1* dz dy dr for a > 0....

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

Q: Sketch the graph of the vector-valued function F(t) = (2t – 1)² î +(2t +2) ĵ. Draw arrows on your gr...

A: The vector valued functions in two dimensions can be represented as r→(t)=x(t)i^+y(t)j^.

Q: Let -2 8 20 30 0. 2 A = 14 19 10 0 15 2-2 1 01 0 0 3 Find the closest (with respect to the Frobenius...

A: Given: Singular value decomposition of Matrix A A=-28201419102-21=35-4504535000130000150003132323231...

Q: rove the following statement. Ve >1 3d 21 Vx >d: c< 3r.

A: Introduction: A grouping of objects. The set's specific objects are referred to as its elements or m...

Q: 3 2 Find the value of x if 1 = 10.

A:

Q: Solve the following differential equation using the Runge Kutta method of order 4, with the interval...

A: The fourth order Runge-Kutta method uses the formulas below to perform the iterations and to approxi...