Write the function in terms of unit step functions and find the Laplace transform f(t) = { 2, -2, 0 ≤t <3 t≥ 3

Q: For the graph y 2 sin (− ²x + 7) + 1 for −2n ≤ x ≤ 2n. a) State the mapping rule. ✓✓ b) Use 5 key…

A:

Q: A manufacturer of downhill and cross-country skis reports that manufacturing time is 1 hours and 4…

A:

Q: 23. y" - 6y' +25y = 0; y(0) = 3, y'(0) =

A:

Q: If I = may be Evaluate I 20 do 1-2p000 + p² written using show that it 3=eja dz (1-P3)(3-P) of the…

A: Let the given integral is  --------- (1)            For evaluate the above integral consider the…

Q: A basketball team sells tickets that cost​ $10, $20,​ or, for VIP​ seats,​ $30. The team has sold…

A: Given that, a basketball team sells tickets that costs  $10, $20 or  for VIP seats $30. The team has…

Q: Blink Appliances plans to order microwaves and stoves. Each microwave requires 1.5 hours to unpack…

A: Let's use linear programming to solve this problem.Let x be the number of microwaves to order and y…

Q: Graph the system of inequalities. Tell whether the system is bounded or unbounded and list each…

A:

Q: Find LDU factorization of each of the following matrices 2 3 5 -1 -4 6 -1 2 -1 - A = B = C = 1 8 10…

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

Q: Hence find a general solution of the equation 2 1 w" () - ¹ ()² = ² 2. w' w'

A: We have to find the general solution of the equation It is given that  and

Q: Remember if you have a question about this, you can email/send me a message on Teams. I want to help…

A: To show that  for , we can use mathematical induction.Base Case (n=1):for  , we need to show that…

Q: Determine the inverse Laplace transform of the function below. 1

A: Given function is 1/ s^4We have to calculate inverse Laplace Transform

Q: A sequence (n)-1 is said to oscillate if lim inf n<lim supen and both lim inf n and lim sup In are…

A:

Q: How many solutions are there to the equation x1+x2+x3+x4 = 17 where x1, x2, x3, x4 are integers and…

A: Number of non-negative integer solution of         x1 + x2 + ... + xn = k,  with  xi…

Q: Min Z = 12X1 + 18X2 + 8X3  5X1 + 8X2 +9X2 >= 18  9X1 + 15X2 + 12X3 >= 36  10X1 + 15X2 + 12X3 >= 45…

A: Min subjected to constrain

Q: 27 0 do 2+cos O

A:

Q: 7. L { cos² t}

A: Since you have posted a multiple question according to guidelines I will solve first(Q7) question…

Q: -3x The region R in the first quadrant is bounded by the coordinate axes, the curve y = e x = 6. The…

A:

Q: Consider the following vectors: a= 7₁ = 1 72 = 9 2 -2 For each of the following vectors, determine…

A:

Q: Suppose A is bounded and not compact. Prove that there is a function that is continuous on A, but…

A: Let A be an open interval set, such that . This set is not compact since it is not closed. We have…

Q: Which of the following subsets of R³×3 are subspaces of R³×³? A. The 3 x 3 matrices of rank 2 B. The…

A:

Q: he graph of f(t) = (4t-3) (4t-3) is given belo

A: Area bounded by the curve y=f(x),x=a,x=b and x-axis is given by

Q: Ron and Don are playing a game called 'Race to 25'. In this game, the first player will say a whole…

A: Ron and Don engage in a strategic game known as 'Race to 25.' The rules are simple: players take…

Q: Consider the relation R on the set Z defined by a Rb if |a| = |b|. Determine if R is reflexive,…

A:

Q: Find the values X₁ and X₂ that minimize f(x₁, x₂) = 4x₁ + 6x2 subject to the following constraints.…

A:

Q: 2. If lim [f(q) q²-1 +q²-119-12] limf(a) 2al = -4, use the Rules of Limits

A: We have we need to find

Q: Suppose that the probability of observing |0⟩ in the state |ϕ1⟩ is 1/4 and the probability…

A: The objective of this question is to find the probability of observing |01⟩ in the state |ϕ1ϕ2⟩…

Q: 9. Let E be the tetrahedron with vertices: (0,0,0), (3,2,0), (0,3,0), (0, 0, 2). E is bounded by…

A:

Q: A restaurant offers a special pizza with any 4 toppings. If the restaurant has 16 topping from which…

A: The objective of this question is to find out the number of different special pizzas that can be…

Q: Suppose f, g are real-valued functions on ECR and p is a limit point of E. If g is bounded on E and…

A:

Q: Find the smallest positive odd integer n such that o(n) 7680 n 12121 1 should do this by a…

A:

Q: What input is NOT allowed for f(x)= 1/5x-25

A:

Q: 4. Suppose the function f defined on the plane satisfies fax + fyy = 0 (Laplace Equation). Show that…

A: Suppose that the  function   defined  on the  plane satisfies (Laplace Equation)We  have  to  show…

Q: A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in…

A:

Q: A tumor is injected with 0.3 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

A: The initial amount of Iodine is a=0.3 gramsand the amount is decreasing at a rate of r=1.15%=0.0115…

Q: 13. Prove or disprove: Q/ZQ.

A: (.) We have to prove or disprove .

Q: Let A = = 1 Let di-[-2] = and 2 = H -2 -3 A) Create two plots (just sketch by hand). In one plot,…

A:

Q: Use Gauss Jordan method to solve x-2y+4z=20 x+y+13z=-31 -2x+6y-z=-69

A: Given system of equations:We have to solve the given system of equations by using the Gauss Jordan…

Q: Which of the following subsets of P2 are subspaces of P₂? DA. {p(t) | Jop(t)dt = 0} B. {p(t) | p(0)…

A: Note: As you have posted multiple subparts of question but according to the guidelines I will answer…

Q: Suppose V and W are finite-dimensional vector spaces. Prove that there is an injective linear…

A:

Q: Use row operations to solve the system.   x+y-z=10 2x-y+z=-4 x-4y+3z=-41       Question content area…

A:

Q: Evaluate the expression. P(9, 2) · P(6, 5)

A:

Q: :) the the following matrices diagnalizable? If yes, determine their diagonal form and a basis with…

A:

Q: 4. Use row operations to show that det X y y² 2² Z = (z − x)(z − y) (y – x).

A:

Q: a) Differentiate the function Q(p)= -2√/p³ (e-P-P). b) Hence or otherwise, determine Q'(1).

A:

Q: x'= x +z, y'= x +y, z = 2x - z, x(0) = 1, y(0) = 0, z(0) = 0

A:

Q: The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of…

A:

Q: +++ Match the inequality with the graph. E then give the solution X0 Why did you not shade? x² - 2x…

A:

Q: Why'd you choose 1/5?

A:

Q: Explain how you know this is NOT the graph the reciprocal function of y = (x + 3)4. 0 6

A: Explain how we know that this is NOT the graph the reciprocal function of .

Q: 4. Given differential equation y" + y = csc (t) a. Find the complimentary solution y, that solves…

A: