Consider the "divides" relation on the set A = {1, 2, 3, 5, 6, 7, 8, 10, 20, 30, 60, 70} (a) Draw the Hasse Diagram for this poset. (b) Find the maximal elements or explain why there are no maximal elements. (c) Find the minimal elements or explain why there are no minimal elements |(d) Find the greatest element or explain why there is no greatest element. (e) Find the least element or explain why there is no least element.

Q: 2) Find the formal Fourier series solution of the endpoint value problem. x" + 4x = 2t, x'(0) =…

A: To find the formal Fourier series solution of the endpoint value problem. x''+4x=2t, x'0=x'π=0

Q: -What is the domain of T. S what is the target of T. S Draw the arrow diagram of T .S

A:

Q: Show that f xy = f yx for the following function: (x1² y) f(x, y) = 24 + In(x1² + y36 )

A:

Q: Use the partial fraction decomposition find L^-1[24e^(-5s)/(s^2-9)]

A: We have to find the given laplace inverse transform.

Q: Find the number of right hand plane roots in each polynomial g6) = =s'445³+4s²+ 165+5 Case II : Case…

A:

Q: Find bases for the range and nullity of 1 -1 2 3 2 -2 5 4 1 -1 0 7

A:

Q: Liouville function X(n) is given by formula

A:

Q: Solve y2 + 2y+1+Y =n with Yo 0 = y,. %3D

A:

Q: 2. Consider the function ƒ : R × R –→R xR defined by f(2,v) = (,). Determine the powers of f. (Note…

A: The given function is:  f(x,y)=x+y2,x-y2.   we need to find the powers of f(x,y).

Q: x dy/dx + 5y = 2x^2y^4

A:

Q: 5. (The residue theorem and residue calculus) Compute the following integrals: (b) sin(e/=) dz ==1…

A: (b) The given integral is                  ∮z=1sine1zdz

Q: An investor has $749,000 to invest in bonds. Bond A yields an average of 3% and the bond B yields…

A: We have, Bond A yields = 3%  Bond B yields = 8% Total amount that can be invested = $749000 The…

Q: -2 -1 4 -2 and X = 1 -1 Let A = 2 Find a constant A such that AX = AX Enter the answer in the space…

A:

Q: Sketch the solid whose volume is given by the integral and evaluate the integral. 8. 2n 40 r dz de…

A:

Q: Use Gaussian or Gauss-Jordan elimination to solve the system of equations or to show that no…

A:

Q: Let x, y, u and v be row vectors in R' obeying: х%3 (2, -1,3), у%3D(-3, 2, 2), and suppose that X •w…

A:

Q: Find o"(x + In y) dydr

A:

Q: Evaluate y*dV, where E is the solid hemisphere x? + y? + z² 0. E (Hint: spherical coordinates)

A:

Q: Consider the solid G in the first octant bounded above by x + y + z = 4, below by z = 0, laterally…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Students in a fifth-grade class were given an exam. During the next 2 years, the same students were…

A:

Q: Of the 30 students in my class, 11 practice taekwondo, 11 play piano, and 20 take lessons in math. 4…

A:

Q: 6. Determine whether this graph is planar. a b d g h

A: We have to find whether the graph is planar or non-planar.

Q: 3) y= 3cot 20 3元 5T 3元 7元 2て 元 TC 4 4 4. 4 元2

A:

Q: by Newton-Raphsan method ( E= 0.000l) 2

A: Find the values of (29)^(1/2), using Newton Raphson method

Q: For any n large enough, prove E" ) – = 0(1). k=0

A:

Q: f( x ) = x 2 g( x ) = [ x/21 Select the correct value for f . g(- 3/2). Oa -1

A: We write f•g=f(g(x))

Q: The figure below shows a directed graph G: 3 4 Which edge is not in G 3. О а. (1, 3) O b. (2, 3) О…

A: By graph of G we can see that

Q: prove that IIaind = nd(n)/2.

A: Analytic number theory

Q: Find the area inside both curves. r = 2+ sin(20),r =2+ cos (20)

A:

Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A n (A)° = A int A (ii)…

A:

Q: Proble Consider the following graphs and determine the degree of each vertex: C (i) (ii) 21. K (iii)…

A: find degree of each vertex

Q: Define a relation R on the x-y plane as follows: Given two points (x1 ,y1) and (x2 ,y2) in the x-y…

A:

Q: What is the value of the limit below? (edz –1- 6x)(1 – cos(x))(2æ – sin(2x)) lim Lütfen birini…

A:

Q: Let X be the set of all subsets of ℤ . Define a relation R on X as follows: Given two subsets of…

A:

Q: 13. Consider the following linear program: Маx 1A + 2B s.t. 1A <5 IB <4 2A + 2B = 12 А, В 2 0 a.…

A:

Q: Q1. Solve the IVP by finding appropriate integrating factor an (x² + y² – 5)dx – (y + xy)dx = 0,…

A: Consider the given differential equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution…

Q: (b) Show that the equation e- - 2:2 = 1 has exactly two solutions in the disk |2| < 1, and that they…

A: Rouche's theorem: Let f and g be holomorphic function in the region D. Suppose gz&lt;fz on the…

Q: Find the in degree out degree and of total degree of each vertex of the following V3 V2

A: directed graph , find degree

Q: Yearly log production in units was regressed against time where t = 1 in 2015. This resulted in the…

A:

Q: It is possible to find two integers whose multiplication is -4 and whose summation is 0. Select one:…

A: Sum of 2 and -2 is 0 and multiplication of 2 and -2 is -4. So, given statement is true. Sum of 3 and…

Q: Find the area inside both curves. r = 2+ sin(20),r 2+ cos (20)

A:

Q: ILK has preferred stock selling for 97 percent of par that pays an 8 percent annual coupon. What…

A:

Q: Find the smallest integer value for k such that the linear operator T:R3⟶R3 given by…

A: As per the question we have to find the smallest integer value for k such that the linear operator…

Q: . Translate each of these nested quantifications into an English statement that expresses a…

A: We have to translate the given quantification into English sentence.

Q: Question 1 Let R be the triangle bounded by the lines x = C be the boundary of R, traversed…

A:

Q: Find the inverse Laplace transform of   F(s)=−6s−4/s^2−2s−24  f(t)=

A: To find- Find the inverse Laplace transform of Fs = -6s - 4s2 - 2s - 24.        Formula Used-  eat…

Q: Consider the solid G bounded above by x^2 + y^2 + z^2 = 16, and below byz =sqrt(3(x^2 + y^2)). (a)…

A:

Q: Q2 where R is the region bounded by y =x and y = 2vx

A:

Q: Problem4. Solve the following system of equations: X – 2y + 3z = 1 X + 2y – z = 13 Зx + 2у — 5z %3 3

A:

Q: (2, 4, 6, 9, 12, 18, 27, 36, 48, 60, 72), R) be a partially ordered set, where the relation R is…

A: We have to find the smaller element.