11. ( a) b) c) ) Consider the relation on A={1,2,3) represented by the matrix Determine if the relation is reflexive. If it is not reflexive, state why. [1 1 1 10 0 1 1 Determine if the relation is symmetric. If it is not symmetric, state why. Sketch a digraph to represent the relation.

Q: Define a relation D on the set of real of numbers as follows: Vx, y ≤ R, x Dy x-y is irrational OD…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = 2y"" + 3y" - 3y - 2y =…

A:

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 12 inches above the…

A: Solving above differential equation problem using laplace transforms

Q: 3. a) List all elements of (Z45.) that are of order 15. State the results used. b) Let G = be cyclic…

A:

Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

A:

Q: -plete solution. he roots using algebraic - 13x²+36

A: Roots are=2,-2,3,-3

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: I have given the answer in the next step. Hope you understand that

Q: er copy. (a) Write down the associated cost function C(x) in dollars. C(x) = Write down the revenue…

A: When determining when you will break even financially, a break-even analysis compares the costs of a…

Q: A die is weighted in such a way that each of 5 and 6 is eight times as likely to c Outcome…

A: A random variable can have any number of alternative values and likelihoods within a particular…

Q: `A. Solve the following initial value problem: dy (t²- 24t+ 108). = y dt with y(12) = 1. (Find y as…

A:

Q: a) 72 b) 36 c) 144 d) 60 Let G be a graph with 12 vertices each of degree 6, then how may edges are…

A: We know that , G is said to be a graph if it has vertex set V and edge set E. We have given that , G…

Q: Suppose a rectangular picture frame has a thin border made from a 144-inch-long strip of bronze. If…

A: # Considering the width of border negligible Length of the strip is 144 inch Now let the length of…

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Let us consider a function f(t). The Laplace transformation of the function is obtained as,…

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

A:

Q: J f ds if Evaluate Of(x, y, z)=x+y, and C is the combinations of lines connecting adjacently the…

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =…

A:

Q: Determine whether the eigenvalues of each matrix are distinct real, repeated real, or complex. -5…

A:

Q: Use a substitution to shift the summation index so that the general term of the given power series…

A:

Q: Is the following argument valid or not? If you can sign up for fall classes then you have a panther…

A:

Q: Determine by inspection whether the given set of vectors is linearly dependent or independent. Do…

A:

Q: The QRT states that for any integers n and d (d non-zero), we can find unique integers q and r such…

A:

Q: Define a relation Ton the set of real numbers as follows: Vx, y ≤R, x Ty ⇒xy < 0 The relation is not…

A:

Q: Ordinary Differential Equations T′= t − t^2 + 1, t 0 = 0.5 Use the 4th order Runge-Kutta method for…

A: Given IVP is y'=y-t2+1, y(0)=0.5 and step size h=0.2 We have f(t,y)=y-t2+1 By forth order R-K method…

Q: We prove the following statement using element proof and contradiction. For all sets B and C, (B-C)…

A: To prove the following statement using element proof and contradiction. For all sets B and C, (B -…

Q: Find the total degree of the graph. 10 07 O 20 CO 8

A:

Q: 4. A and B are independent

A: Value is  =0 .32

Q: Find the function y(t) that satisfies the differential equation dy dt and the condition y(0) = 2.…

A: Let us consider the given function dydt+P(x)y=Q(x). To solve the equation using integrating factor…

Q: Find the solution to the differential equation dy y + dx 3 subject to the initial conditions y(0) =…

A: dydx+y3=0 Subject to y(0)=16

Q: Find the amount accumulated FV in the given annuity account. HINT [See Quick Example 1 and Example…

A:

Q: Which vector gives the direction vector of a line given by vector v = (-3,-5, 1) + t(7,2,3)

A: Let us consider the vector form a line r→=a→+tb→ Here, a→ is a position vector and, b→ is a…

Q: Proceed as in this example to rewrite the given expression using a single power series whose general…

A:

Q: Construct a graph for the map given below. Determine the minimum number of colors required for the…

A:

Q: Calculate $ |z|=1 z²e¹/z cos(1/z) dz.

A:

Q: Mark the statement that is true. DZcQ Do Z

A: Given statements ℤ⊆ℚ0∉ℤπ∈ℚ50∈ℝ

Q: Fill in the blank. (Enter your answer in terms of t.) 1 * 1{ -² = [ (s - 9)5

A:

Q: Consider the following function. f(t) 1 1 (3, 6) Use Definition 7.1.1, to find L{f(t)}. (Write your…

A:

Q: F(x, y, z) = (x, xy²2, xz) Scap: r(u, v) = (u, v, (u² − 1) (v² - 1)), Slevel: Tlevel (u, v) = (u,…

A: As per the question we are given a vector field F along with its divergence i.e. div(F) And a 3d…

Q: By choosing the apprpriate points, solve the root of 3x3 - 4x2 - 3x - 2 = 0 using these methods:…

A: due to bartleby policy we can solve only one part but i am giving you two parts.

Q: Fill in the blank. (Enter your answer in terms of t.) 1 *{{2 L²s² + n²²

A: We have to apply the inverse Laplace transform to solve the given problem.

Q: 5.Express this model of an electric circuit d²y dt² dt As a pair of first order equation +6+5y=sin…

A:

Q: Find the present value of the investment. (Round your answer to the nearest cent.) worth $13,000…

A:

Q: A mass of 6 kg stretches a spring 24 cm. The mass is acted on by an external force of 9sin() N…

A: Solution :

Q: Exercise 7.11. Suppose that H and K are subgroups G. (a) Prove that HK = H if and only if K CH. (b)…

A:

Q: A) Determine the boundary limits of the following regions in spaces. = 6 and the The region D₁…

A: 1  Given that the region D1 bounded by the planes x+2y+3z=6 and the coordinate planes. We have to…

Q: Determine a function that will best match the following points: (1/2, 0), (2 ½, -2), (4 ½, 0), (7 ½,…

A: given points x 0.5 2.5 4.5 7.5 10.5 y 0 -2 0 4 0 determine a function that will besy match…

Q: n investment (in dollars). (I per year and is worth $50,

A:

Q: #9

A: We know that, If a system is Ax=b then  a system has unique solution if and only det(A) is non zero.

Q: Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated…

A:

Q: A square pyramid is on top of a square prism.Their bases are congruent.How many faces,vertices,and…

A: We have a square pyramid on top of a square prism. Now, a square pyramid has 5 faces, 8 edges and 5…

Q: Calculate, to the nearest cent, the future value FV (in dollars) of an investment of $10,000 at the…

A: