Given that y, = -3r²e=3#, y2 = 7x° are solutions of a linear homogeneous equation with constant coefficients, (c) write down the equation using operator notation.

Q: (x – 3y + 3)dx + (3x + y + 9)dy = 0

A:

Q: 4. Solve system of linear equations AX = B, using in- verse matrix A- Write clean, and clear. Show…

A: Convert the given system of equations into the matrix form. 1252394717xyz=114 Use the elementary row…

Q: Q1: Find the distance between the given Points: (2V3, 4) & (-V3, 1). • (a, b) & (0, 0). Q2: Test the…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: G2. Draw a graph with the set of vertices V= {a, b, c, d) and the set of edges E= ({b, c), {c, d),…

A:

Q: x9 denctes (ptq)/q. (a). Find the value of x when X* CO =4 6) Solve the equation 2* x=x * 32

A: The property of the operation * states that p*q=p+qq. Use the property of the operation * to…

Q: 4. Show that v2 ¢ Q(v3) and Q(v2, v3) = Q(/2+v3). Hence find the mmp of V2+ v3 over Q.

A: Given: Let's determine mmp of 2+3 over Q

Q: + Solve the following determinants:- ! 2 3 4 01 2 3 - 2 1 - 1 0 2 3 2 0 2 0 3 e) 38 S)1

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

Q: Determine the effective annual yield for $1 invested for 1 year at 4.1% compounded semiannually. The…

A:

Q: 4" (x - 3)" (b) (-1)" Vn n=1

A: Given series is ∑n=1∞(-1)n4n(x-3)nn

Q: Question 4 Find the solution. , dy x2 - y²=2xy dx A 2x B y : © y = y = x3

A: Given:x2dydx - y2 =2xy

Q: Use the present value formula to determine the amount to be invested now, or the present value…

A:

Q: Solve by theorems of linearity and translation. f(t) = cos t + sin t

A:

Q: Use Euler's method to solve an ordinary differential equation dy 4e0.8x – 0.5y from x= 0 to 4 with a…

A:

Q: Apply Newton’s method twice to approximate 7^(1/3) . Use the initial approximation xsubscript0 =2

A: Given a number 713 and initial approximation is x0=2

Q: Theorem 85 Let a be a positive real number. For all real numbers and y, 1. 1리 < a → 2. Jay| = |x|…

A: Let a  be a positive real number To prove 1) |x| &lt; a⇔                  2) |xy|= |x| |y|…

Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

A:

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: We have given differential equation ,  y - 2xy' = 3y - 6x + 1   with y(0) = 2. Here , substitute , u…

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's…

A: Introduction: Simple interest is a way of calculating the amount of interest charged on a sum at a…

Q: Determine the present value P you must invest to have the future value A at simple interest rate r…

A:

Q: Hw Find dw and Dw fok the

A: By using division differential formula we find dw/dx and dw/dy

Q: Determine the effective annual yield for $1 invested for 1 year at 2.5% compounded quarterly. O A.…

A: To determine the effective annual yield for $1 invested for 1 year at 2.5% compounded quarterly.…

Q: In Problems 3.27, 3.28, and 3.29, differential equations are given in both standard and differential…

A:

Q: Theorem 1.22 If a e R. be R and a <b then there is a rational number r such that a <r< b.

A:

Q: Using Runge-kutta mdhod of fouth oxden Solve dy with ylo)%=1at 2 +x2 2=0.2,0.4 .

A:

Q: Use Euler's method to solve ordinary differential equation an dy 4e0.8x – 0.5y from x= 0 to 4 with a…

A:

Q: Example 6. For what value of A, the function g(x) = 1 + 1x is a %3D solution of the integral…

A:

Q: (BOunded st) show that a subset M in a nor med space Xis bounded if and only If there is a positive…

A:

Q: 1. Answer the following question when X.X...X is a random sample from N(u.o). |(a) Find the integral…

A:

Q: Continuity. Find out, and give reason, whether f(z) is continuous at z = 0 if f(0) = 0 and for z #0…

A:

Q: 2. Elen Serug needs P70,000 to repair her roof. Find the face value of the note that will provide…

A: To find- Elen Serug needs P70,000 to repair her roof. Find the face value of the note that will…

Q: Question 5 Find the solution. dy y dx x A B y = y = 9. D) y = -|00

A:

Q: Out4)= G3. List the set of vertices for the graph above: G4: List the set of edges for the graph…

A: Q

Q: A lottery has balls numbered 1 to 50 and six balls are drawn. You win first prize if you select all…

A:

Q: Find |A|, |B|, AB, and |AB|. Then verify that |A||B| = |AB|. [ -1 3 1 -1 0 0 A = 1 0 1 В — 0 2 0 0 1…

A:

Q: llnll=max |x C+)| tej show that is norme space. j-[a,b]

A: We have to show that x=maxt∈jxt, where j∈a, b, is a normed space. For this, we have to use the…

Q: A mass that weighs 8 lb stretches a spring 48 in. The system is acted on by an external force of 8…

A: This is a problem of harmonic motion.

Q: Example 1. Prove that the homogeneous integral equation o(x) =À (3x - 2) to(t) dt %3D has no…

A: Solution

Q: r(6.7)

A: Solving for given gamma function

Q: 1. Use substitution technique to show that ++x+2+x- v2 +C dr 1 In rV+r+2 +x+2+r+ V2

A: As per our guidelines we are supposed to answer only one question that is the first question. For…

Q: G6. Write down the adjacency list for the graph above:

A:

Q: How much should the price of product 2 be increased to make it profitable to produce? How much of…

A:

Q: 3. Show that for all integers n: a) if d is an integer such that d |n + 8 and d | n² + 1, then d |…

A: To solve the given questions we will use the following formulas : 1.   We say that two positive…

Q: s- 1 s2 – 2s + 5 A. f(t) = e'(cos 2t -sin 2t) C. f(t) = e cos V5t 2 B. f(t) = e'(cos 2t – sin 2t) D.…

A: Solution

Q: 5. Find solution of the system of linear equations. Write clean, and clear. Show steps of…

A: System of linear equations, using gauss elimination method

Q: Out47)= G14. For the graph above, list three different paths from vertex 2 to vertex 7. G15. Is the…

A: Given graph  We first know that, A connected graph is graph that is connected in the sense of a…

Q: Find the solution. dy y -= xy? dx A y = - ex - x3 3x B y = c-x3 - 3x y = c+x3 D y = c+x3 3.

A: Given equation is  dydx-yx=xy2

Q: Theorem 8.5. (Minkowski's Inequality). Let1sp<o. hen for every pair f.g e L", we have Il f + g II, <…

A: this is a problem of functional analysis.

Q: All primates are curious. Some primates are carnivores. Thus, some carnivores are curious. * 1 point…

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: *** V· Vo = + ax2 dy2 az2

A:

Q: G16. Is the sequence from G15 a simple path? Justify your answer.

A: