Use partial fraction to solve the following problems: 5. Inverse laplace of (2s^2+5s-4)/(s^3+s^2-2s)

Q: Richard bakes bread for a bakery. The table shows how the time Richard spend in the barkey changes…

A: We need to find the regression equation y on x  x y x-x y-y x-x2 x-xy-y 240 288 -66.75 -66.75…

Q: Let [1 37 A = 2 4 Find an orthonormal basis of the image of A.

A:

Q: (2х? + у)dx + (x?у — х)dy %3D 0

A:

Q: 1+ax dx Evaluate log 1-ax x 1-x

A:

Q: (b) Classify the equation t'y" - 2ty + 2y = t, t> 0. What order is it? Is it linear or nonlinear? Is…

A: Given DE is  t2y"-2ty'+2y=t.....(1) We find order of DE (1). And we check whether it is linear. Also…

Q: FIND THE GENERAL EQUATION AND INTEGRATING FACTOR OF THE DIFFERENTIAL EQUATION BY METHOD OF…

A:

Q: 8. A square matrix P has a property that P² = P. If P# In, which of the following is true? (a) P is…

A:

Q: let f [od]R begiven fa show whethe the %3D functionis PointConVelgentand Vegular ConVorgent

A: Given :  fn : [0, 1] →ℝ  defined by ;                      fnx = nx1+nx To find : We have to check…

Q: 7. Let A be a 32-by-48 real matrix. Which of the following matrices is always symmetric (a) A+ A (b)…

A: As a matrix A is said to be symmetric if At = A

Q: Determine the solution of the simultaneous nonlinear equations and compute the errors. sin(xy) – x²…

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

Q: Use your knowledge of transformations to sketch y =1-e.

A:

Q: 1. The sum of the digits of a two digit number is 15. One-third of the number diminished by 12 is…

A: To find the two digit number whose sum of the digits be 15 .

Q: Find an orthonormal basis of the plane x1+ 5x2 – x3 = 0. }

A: Introduction: A set of vectors that is orthogonal to each other and spans a plane is the set of…

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A: Given, yx=13x3. ∴y'x=ddx13x3=13·3x2=x2y''x=ddxx2=2x

Q: A simple graph that is isomorphic to its complement is self-complementary. (i) Prove that, if G is…

A: (i) If G is self-complementary, then its edges contain half of all of the possible edges (and the…

Q: Question 4: Suppose that the metric d on M is the discrete metric. (a) Show that every map f: M →Y…

A:

Q: M = 6 - E sin ø Solve for ø by the methods listed. Show your complete solution. Use five decimal…

A: [here x treat as ϕ(phi) i.e. x=ϕ in both Method (sorry for inconvenience) ] False Position Method:-…

Q: 2ydx — 3ху?dx — - 3xy²dx – xdy = 0

A: We have to find integrating factor of given differential equation.

Q: 4. Let A E Mn. Each of the following statements is equivalent to two of the other three except (a)…

A:

Q: For the givend and n, show d|a by finding a q with n = d x q • 4 | 20 • 5|-25 -3 |9 -9 |-27

A:

Q: a) graph, 6 vertices, has a Hamitonian circuit and a vertex of degree 3 b) graph connected,…

A: This is a problem of graph theory.

Q: 13. Divide $430 into 3 parts such that A gets 5/4 of B and the ratio between B and C is 3:4. 14. The…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals and…

A:

Q: Compote the volume of a reoion inside the Sphere x" +Y? +z² =4 ond between two sheets of the…

A: We have to find V0, V0 = Volume of sphere - V1-V2And from Symmetry we know that V1 = V2⇒V0 = Volume…

Q: 4. A Barangay has three clinics; the weekly number of patients seen by a nurse pra in each clinic is…

A: # as per the guidelines we are entitled to solve maximum three subparts at a time, please resubmit…

Q: II. SYSTEM OF LINEAR EQUATIONS OF TWO VARIABLES A. Describe the graph of the system of linear…

A:

Q: 3. Compute the area of the region bounded by the cardioid r(t) = (2 cos t – cos 2t, 2 sint – sin…

A: According to greens theorem  ∫CPdx+Qdy=∫∫D ∂Q∂x-∂P∂ydA Where C is  a positively oriented, closed…

Q: Use Gram-Schmidt to find q1, q2, q3 (orthonormal) as combinations of a, b, c (independent columns).…

A: The given matrix is: A=124005036. To find: An orthonormal basis using Gram-Schmidtz…

Q: 6. A connected graph with four edges and four vertices has two vertices of degree two. Show that a.…

A: We have given connected graph with four edges and four vertices that has 2 vertices  which having…

Q: Find the gradient vector field Vf of fand sketch it, for f(x, y) = x2 - y.

A:

Q: 2. x(t) = e 5t + cos 3t

A: Laplace transform of the function

Q: 5. Linear Algebra Consider the following matrices: and B = 4. A = II (a) Compute A+B and (AB)-1. (b)…

A:

Q: 1. Four coins are identical in appearance, but one coin is either heavier or lighter than the…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: elow signal. Yo

A:

Q: Show that ysecc) is a solution to i y"-2tanG)y 0, and use reduction of order to find a Second,…

A:

Q: Assume there is a certain population of fish in a pond whose growth is described by logistic…

A: If the starting population is given by P0 equals 200, then we have to find after one breeding season…

Q: Determine the 2nd degree taylor polynomial flxiy) se-x*-g at cli) . of

A:

Q: Find a set of parametric equations for the tangent line to the graph at t = to- (Enter your answers…

A: Substitute t=1 in the given equation of graph to obtain the coordinate of the point.…

Q: Determine the difference approximation of the problem d |(1 + x²)-y - y = x² + 1, y(-1) = y(1) = 1…

A: Please comment if you need any clarification. If you find my answer useful put thumbs up. Thank you.

Q: A population grows according to an exponential growth model. The initial population is Po = 6, and…

A: We know that in an exponential growth model, dydt=ky, where k is the positive constant, called…

Q: dx 4. Find the integral 2-1)3 In ()- in (-+C (x+1 + C 2x2-2 a. r-1 x+1 b. x-1. 2x2-2 C.-In 4 + C…

A: We will solve the integral using partial fraction decomposition method. Factor the denominator:…

Q: expressions shown for the permutations O and M from 1.

A:

Q: 1. Let X be a set and AC X a subset of X. The characteristic function XA is a function with domain X…

A: This is a problem of characteristics functions and domain.

Q: Alishan has a savings account with a balance of $20,000. Find the balance after 15 years with a…

A: Given: P =  initial principal balancer =  annual interest ratet =  time (in years) A =  final amount…

Q: The non-periodic function f(x) is defined by f(x) = e-l=l. Obtain the Fourier transform of f(x).

A:

Q: mplete solution

A: Given                      f(x)=arctan(x)

Q: -Find Taylor or Maclaurin for the following functions 1) f (x) = sin 3x

A:

Q: f (x) = ln (1+ x). Using Problem 3. Consider the given function at To by making use of the first 9…

A:

Q: 5. The sum of the digits of a three-digit number is 11. The tens digit is three times the hundreds…

A:

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

A: