The inverse Laplace transform of -3s² - 12s + 133 (s+2) (s² - 6s+13) is: + qeßt cos(wt) + reßt sin(wt) where p, q, r, a, ß, w are constants with w> 0. peat

Q: Given that g(x) + 7x sin(g(x)) = 35x² + 24x − 35 and g( ² ) = 0, find g'( ² ). g ( ½¾7 ) =

A:

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y" + y = f(t), y(0) = 0,…

A:

Q: When dividing the polynomial x³ + bx² + 2x +9 by x + 1, the remainder is 10.

A:

Q: You've observed the following returns on Mary Ann Data Corporation's stock over the past five years:…

A:

Q: 1

A:

Q: 2) Let T: R³ R³ be a linear transformation such that T(1,0,0) = (2,-1,4) Determine T(2,3,-2)…

A:

Q: How many functions are there from the set {1, 2, 3} to the set {7,8}. Enter your answer =

A: and We have to find how many functions are there from the set  to the set .

Q: In a field plane PG(2, F), a line ax+by+cz = 0, not through the vertices of the triangle of…

A: To show that , , and are concurrent, we can use Ceva's theorem. Ceva's theorem states that in a…

Q: 5. Look at some decimal expressions of fractions such as 3 25 15 20 14 50 2 7 9 16 71 50 91 b…

A:

Q: Formally prove that log(n!) = O(n log n).

A:

Q: Evaluate CnxP q 1 n = 4, x=2, p=2 for the values of n, x, and p given below.

A: Given,                  for the value of n, x and p i.e.              To find the value of

Q: A healthy child's systolic blood pressure p (in millimeters of mercury) and weight w (in pounds) are…

A: Given the table,wln⁡(w)p473.8589634.1496784.361021014.621101264.84117We need to find the…

Q: The Center for Business Analytics is considering a refund policy for no-shows. No refund would be…

A: “Since you have asked multiple questions and due to the time constraint & complexity, we will…

Q: 4. Let the vector space P([-1,1]) have the inner product = f(t)g(t)dt, using 21

A:

Q: Find the exponential generating function for the sequence 0!, 1!, 2!, 3!,...

A:

Q: Problem 1: Draw the straight-line approximation of the Bode plot for the following transfer…

A:

Q: 3 Does the graph of f(x)=x² open up or down? O up down Is the graph of f(x) = - 3 x² wider,…

A:

Q: 4. Let f(x, y, z) = e²x + √y-2², with x = rsinh ¹(st), y = 38²4-¹ and af by using the chain rule.…

A:

Q: 9. 10. Identify the vertical and horizontal asymptotes f (x) = 1 a) VA: x = 4, HA: y = - 2 1 c) VA:…

A:

Q: Prove that f(x) = x³ + x/2 is C¹-structurally stable.

A:

Q: Prove or disprove that [x/2] = [(x+1)/2] for all real numbers x . Prove or disprove that [x/2] =…

A: We disprove by giving a counter example

Q: 3. Suppose that p and q are odd primes. Show that pq is a pseudoprime base 2 if and only if ord,…

A: We shall be using the fact that a^p-1 =1 mod p

Q: Problem 3. Let u be a smooth solution of Lu aªÏ µij V = |Vu|²+ Au². Show that Lv ≥ 0 in № if λ is…

A: To show that in for sufficiently large let's compute :Now, since is a smooth solution of , the…

Q: Evaluate the following integral, Sszds, where S is the part of the sphere x² + y² + +z² = 49 that…

A: Given that the sphere  that lies above the cone To evaluate the integral where S is the part of the…

Q: Find the slope of the curve y = (x² - 6x-16) at the point (-2,0). The slope of the curve at (-2,0)…

A:

Q: The following is a graph of the function f(x). Find ƒ ƒ(x) dx. -2

A: .

Q: Give the following number in Base 10. F16 = [?]10

A: Given number isF16We have to convert the above given number in base 10.We know thatHex and decimal…

Q: Solve y + 2y + 10y -90( 15), y(0) = 1, y (0)

A:

Q: The Maclaurin series of the function f(x) = 6x²e-9 can be written as f(x) = Σ₂² спал n=0 where the…

A:

Q: a. Find the eigenvalues and eigenvectors of the matrix y₁ (t) = y₂(t) = λ₁ [y₁ (0)] L32 (0) = 21 24]…

A:

Q: Consider the following differential equations. x = 4y², x(7) = 1 P(y) = dx Find the coefficient…

A:

Q: Sketch the graph of the function below and determine its Laplace transform. u(t-6) -u(t-8) Click…

A:

Q: 5. For the system of differential equation ¹ = A x, with coefficient matrix given by, (i) A = =…

A: Note: As multiple questions have been asked, so only first question i.e., (i) has been solved…

Q: (a) The area, approximated using the left endpoints, is

A:

Q: Problem: G Let's verify that gravity is conservative (F is just a force field) and then find the…

A:

Q: The following table shows the values of a function f at a certain number of points. X 1 3/2 2 5/2 3…

A:

Q: Determine the potential function for the region inside. a rectangular trough of in finite length…

A: The potential function V(x,y) satisfies the Laplace equation,Vxx+Vyy=0,      0≤x≤b , 0≤y≤aFrom the…

Q: If you let G and H be two groups and consider the product group G x H and let K be the subset of G x…

A: The objective of this question is to prove that the quotient group (G x H) / K is isomorphic to H…

Q: results for two possible side effects. A drug trial had 226 participants. A survey was done to…

A: The objective of the question is to understand the distribution of participants who experienced…

Q: Find, giving appropriate C and k witnesses, the big-O estimate of the following (i) ƒ(x) = log(6x5…

A: Big-O :It gives the asymptotic upper bound. We say  if there exists a positive constant  and  such…

Q: Random variables X and Y follow a joint distribution

A:

Q: (1 point) Which of the following sets of vectors are linearly independent? (Check the boxes for…

A:

Q: Given the state space representation. y=[11] a. b. X₁ 2019- -2 -3 2₂ then the transfer function of…

A: Given That :State space representation is as follows :To Find :The transfer function of the system.

Q: If you let G and H be two groups and consider the product group G x H and let K be the subset of G x…

A:

Q: Evaluate the integrals jesi S(1 - 7)dt js(21-4)(21² +1-8)dt je ² 8(x)dx 13. [cos(91)8(1-2)dt je¹ö(1…

A:

Q: |||| = u = = Find the norm of x and the unit vector u in the direction of x if 1 -A 4 = -5 18 ||

A:

Q: Follow the steps to solve the below differential equation using series methods. y'' — 5xy' – 3y = 0,…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find a basis for the null space of matrix A. [10-35 01 A = 0 1 0 20 00014] A basis is

A: Given Let  where  is the null space of A. But                         this is row reduced echelon…

Q: Consider the equation 26 -1 = 0. (a) Find all the solutions to the above equation over C. (b) plot…

A: