Consider the following second order differential equation y" - 4y + 8y = f(x) 1. Find the solution of the equation when f(x) = 0. 2. Find the form of a particular solution when f(x) = ² + cosx-re² sin 2r. 1 3. Find a particular solution when f(x)= sin 2x Question ?

Q: 7. If a triangle is also called a complete 3- point, a quadrangle a complete 4-point, etc., then the…

A:

Q: 17. Given the following degree of the vertices of an undirected graph H= {4,1,5,3,4,3}, we can…

A:

Q: A = -2 - D = 3 0 B 2 " 2 13 3 E = SHE 5 > 4 5 -2 -4 31 -2 3 2 2 5 0 -4 -4 5 3 -4 -4 0 -3 2 3 - 7.…

A: Let us find the inverse of the matrix E and and answer the questions from 7 to 10 regarding its…

Q: Evaluate J by means of trapezoidal rule using n = 10. Round off your answer to the nearest ten…

A: As per guidelines we are supposed to answer the first questions only.kindly post another questions…

Q: -2x² Find the absolute extremum values of f(x) = xez 3 (Note: e 2≈ 0.22) on the interval [0, 1].

A:

Q: 4. Find the center and the radius of convergence of the following power series. 00 2100n n! zn

A:

Q: Calculate the expected value, the variance, and the standard deviation of the given random variable…

A:

Q: 4. A binary operation a*b = 1/(ab) defined on positive Rational Numbers (Q+) is just a groupoid a…

A:

Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^2, y = 1, and…

A:

Q: Question 7 - Using a suitable linearization to approximate √101 show that the approximate value is…

A: Given, 101 we have to approximate it by using linearization.

Q: 4. Solve the trigonometric identity: sin4x = 2sin2xcos2x.

A:

Q: 5. A binary operation a*b = a + b (logical operation IF-AND-ONLY-IF) defined on {True, False} is A.…

A:

Q: Use forward, backward and central difference to estimate the first derivative of f(x) = In(x) at x =…

A:

Q: Suppose that the matrix A has repeated eigenvalue with the following eigenvector and generalized…

A:

Q: A system of differential equations can be created for two masses connected by springs between one…

A:

Q: Se¹0√1-e²0x dx 8.

A:

Q: 0.The inverse of the elements of A = {0,1,2} under a*b = (a+b) modulo 3 are A. 0' = 0, 1' = 1, 2' =…

A: The given set A under * is the set ℤ3A=0,1,2a*b=a+b modulo 3Consider the table, Eg:…

Q: A particle moves in two dimensional space where i and į are unit vectors in the x and y directions…

A: given  r→=6t-4t2i^+2t j^ a) write down the particle's velocity vector in component form. ii) find…

Q: Prove the following equalities using equivalence laws: a. (r^s) A (rVs)=r b. r→(st)=(rA¬s) → t (pq)…

A:

Q: (a) Consider the initial value problem dy X ; y(0) = 1. dx Y Verify whether conditions for existence…

A:

Q: Use a backward difference to approximate the derivative of f (x) = cosh x at x = 2 using h = 0.01 O…

A:

Q: 40.If Tree A is rooted at node E, what will be the height of node C? Tree A A. 3 C. 1 B. 2 D. 0

A: 3

Q: St-1,

A:

Q: The following differential equation is a Bernoulli equation: 2 dy = y² y3 where y = f(t) dt +

A:

Q: 24. Which of the following statements is/are true? 1. The upper triangle of an adjacency matrix of a…

A: This is a problem of Graph Theory.

Q: The following table shows the distribution of household incomes in 2010 for a sample of 1,000…

A: We can solve this using given information

Q: Solve the system of differential equations X = = 14x - 6y |y' = 40x 40x17y x(0) = 0, y(0) = −1 x (t)…

A:

Q: 2.1 Given the complex number z=3-j. 2.1.1 Show z on an Argand diagram. 2.1.2 Rewrite z in polar…

A: As per guidelines we are supposed to solve the maximum first question at a time. kindly post another…

Q: Let A ∈ (R) be given If A is nonsingular, prove that adj(A) is nonsingular and adj(A)^-1 = (A^-1)

A:

Q: (2) Let x, y and z be real numbers. Show that the distance between a real number x and z is the sum…

A: Suppose that y lie between the points x and z, say, y = tx + (1 – t)z forsome t ∈ [0,1]. This is to…

Q: Consider the following linear programming problem: Maximize/minimize z = 3x + 5y subject to: -6x +…

A:

Q: * − e| + (e* + e) e 3 |e³ S 0 -dx

A: The absolute value function: y can be defined as: y=-y,y<0yy≥0.

Q: Q5) Solve the equation dx dt² 1 y (x,0)=sin лx ,t=0,0≤x≤1 8 and dy (x,0) =X at 11 with y (0,1)=y…

A:

Q: Evaluate J by means of Simpon's rule using n = 2m = 10 and h = 0.05. Reminder that the integral…

A:

Q: = xe²* is a solution to y' + ay — e²x = 0... 3. Find the constant a so that (x) = xe² 04 3 O 1 O -1…

A:

Q: 4. A binary operation a*b = 1/(ab) defined on positive Rational Numbers (Q+) is just a groupoid a…

A:

Q: 1. In solving the beam equation, you determined that the general solution is 1 y = 2x²9₁x²³+x. Given…

A:

Q: would you solve this?

A: Given,       f(x)=x2-x-20, and g(x)=x2-8x+15

Q: Solve the integral [e³+4x sin 2x dx using complex numbers.

A: Integration using complex number

Q: 2. The position of a particle moving horizontally is given by s(t) = t³ − 6t² + 9t + 4, where s is…

A: a) The time at which the particle changes its directions is the time for which s'(t)=0. Given that…

Q: What is the volume in cubic units of the solid formed when the region bounded by y = 2x + 1, x-axis,…

A:

Q: prove using proof of contradiction. include your explanation in writing your solution    If n is…

A:

Q: Find the center and the radius of convergence of the following power series. 100 .Σno nn n! (z+ 2i)"

A:

Q: 24. Which of the following statements is/are true? The upper triangle of an adjacency matrix of a…

A: The problem is from the graph theory.

Q: Use a backward difference to approximate the derivative of f (x) = cosh x at x = 2 using h = 0.01…

A:

Q: _ƒ(t) = {to 0, 0<t<π π < t < 2𠂃(t + 2π) = f(t).

A:

Q: Use Simpson's rule to approximate the integral f5 +7dx O 0.51879836 O 0.81879835 O 0.61879835

A: The given integral ∫01x5+73dx , n=4 The Simpsons rule formula is given by…

Q: Set up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

A:

Q: 3. Which of the following operations is BOTH associative and commutative on C. a*b = 2- positive…

A: Solution

Q: 31.All of the following graphs are planar EXCEPT for: A. The complete bipartite graph K2,4 B. The 5…

A: This is a problem of Graph Theory.