Find the initial and final values of y(t), given the following transfer functions and assuming u(t) = -2 for t > 0. S-5 (i) gp(s) = 4s²+2s+10 y(t=0) = y(t=∞) = 4 (ii) gp(s) = s²+10 y(0) = y(∞) =
Q: dy Solve the differential equation dx 9y' Find an implicit solution and put your answer in the…
A: Step 1: solution Step 2:Step 3: Step 4:
Q: 7 and 11
A:
Q: @find the solution of D integral equation 4 0 4 (X) = 1 + ± 5 × U(+) at ∞ u(x) = 1/2 x + 1/1√ √ x 4…
A: Part (a) Part (b): Complete the Series to the Tenth TermThe series expansion given…
Q: Histogram and graphs : I need detailed answer with each single step, do not skip any calculations,…
A:
Q: 1. A space-ship is heading towards a planet, following the trajectory, -t r(t) = Ae¯² (5 cos(4t), 4…
A: Step 1:Position of the spaceship as a function of time:r(t)=Ae−t(5cos(4t),4sin(4t),−3sin(4t)) where…
Q: 2. Use a full truth table to determine whether or not each of the following pairs of sentences are…
A: I'll guide you through solving this problem step by step for both pairs of sentences.(i) ¬(A → B) ⇔?…
Q: Please help and explain for part a b c and d Thank you
A:
Q: Solve the initial value problem xy' -2y=x³ex, y(1) = e.
A: Step 1:Step 2: Step 3: Step 4:
Q: ank holds 600 gallons of a well-mixed solution of water and 50 lbs of salt. A salt solution 5…
A: Question 6:Given data:The tank initially holds 600 gallons of water and 50 lbs of salt.Salt solution…
Q: Solve 2y"-5y+3y=0, y(0) = 1, '(0) = 2.5 (Note: The characteristic equation does factor.) y(t) =
A: Step 1: The given differential equation is, 2y"-5y'+3y=0 It can be written as, 2D²y-5Dy+3y=0 (Here…
Q: Problem 3 In the assignment on Canvas, find a data set of measured temperatures T in Kelvin measured…
A:
Q: ween Lapla Solve the oDE Using Yang and Natural transforms Ody +y=1, 9(0) = 0 (2) "y-y=0,…
A: Step 1: Step 2: Step 3: Step 4:
Q: The initial cost of an investment is $70,000 and the discount rate (cost of capital) is 12%. The…
A: Total Present ValueNow, we sum up all the present…
Q: Pls help ASAP, pls show all work and steps. Pls circle the final answer.
A: Answer:Explanation:
Q: (3) A capsule made of two identical hemispheres of radius r cm, one at each end of a cylinder, is…
A: Step 1. Understand the problem: Our cone measures 12 cm in height and 9 cm in base radius. A…
Q: A pharmacist needs to prepare 60 mL of a 3.3 % w/v solution using a mixture of a 15 % w/v solution…
A: First, we need to understand the problem. We are given two solutions with different concentrations…
Q: Definition 1. If A and B are sets, then their symmetric difference is defined to be AAB (AB) U (BA)…
A:
Q: Q1/ What is the relationship between Laplace transform L[u(t)] = F(s) = est u(t)dt 0 and the…
A: 2.) Adomian Decomposition Method for the PDE uxx+u2−uyy2=0:The Adomian Decomposition Method (ADM)…
Q: Don't use chat gpt plz Solve 9.3 only Solve 9.3 please
A: (a) Extrinsically:For the 2-sphere S2 embedded in R3, we can calculate the Riemann curvature tensor…
Q: 4. Given the data points (0, 1), (1, 2), (2, 0) and (3,2), construct the quadratic spline…
A: .
Q: These question need to be solved using R with the given data, please do not provide AI solution ,…
A: Here's the combined R code for Bayesian hierarchical modeling of Math Scores, along with…
Q: Detalied solution by hand , no AI please.
A:
Q: Please calculate Show-me pass-to-pass
A: //The answer above is a possible detailed explanation of the question mentioned…
Q: Write a mathematical relationship between each transformation with the proof 1\sumudu and elzaki. 2/…
A: Step 1:
Q: Suppose that an odd function f has the additional symmetry that f(L = x) = f(x) - on the interval –L…
A: In summary:- An=0 for all n .- Bn=0 for all even n .
Q: Initially 10 grams of salt are dissolved into 35 liters of water. Brine with concentration of salt 4…
A: Given,x(t)=140−130e−7tNow, to find the amount of time needed to have exactly 25 g of salt,Put x(t)…
Q: Classify al critical points of the functions as well
A: Combine like terms:−2x3+9x2−5x−2=0Step 4: Solve the Cubic EquationThis is the same cubic…
Q: Solve y"-y-12y= 0, y(0) = -2, y'(0) = -1 y(t) =
A:
Q: Please do by hand , not include chatgpt, i need all graphs and visualizations.
A: Assessing the Impact of Dietary Habits on Health OutcomesData Visualization1. Histograms for Daily…
Q: 1. Let A = (-∞, -2], B = (-3,8], C = (5,25) and U = R. Find An B, AUC, C \ B. 2. Prove that AU(BNC)…
A: Problem 1: Set OperationsGiven:A = (-∞, -2]B = (-3, 8]C = (5, 25)U = ℝ (the set of all real…
Q: 12. Let W be the subspace of R4 spanned by the vectors, u₁ = (1, 2, 5, 3), u₂ = ալ (2, 3, 1, −4), u3…
A: Form a matrix with the given vectors as rows:[ 1 -2 5 -3] [ 2 3 1 -4] [ 2 8 -3 -5] 2.…
Q: Don't use chat gpt
A:
Q: Pls help ASAP, pls show all work and steps. Pls circle the final answer.
A:
Q: (3) The power line is strung between A and B which are on the same horizontal plane. The tension…
A: The magnitude of the tension force T = 200 lbThe angleθ = tan⁻¹(30 / 4.5)θ = 81.47°The tension force…
Q: Solve and show all calculations Exercise 2314
A: Step 1:Step 2:Step 3:
Q: Exercise 2.7.4. Give an example of each or explain why the request is impos- sible referencing the…
A:
Q: Calculate the Wronskian of y = 3, y2 = 6x and y3 = -18 +6 W(z) b) Are the functions y₁ = 3, y2 = 6x,…
A: a) Calculate the Wronskian W(x) of the functions:Given:y1=3y2=6xy3=−18x+6The Wronskian of three…
Q: Plz don't use chat gpt plz Solve correctly
A: Step 1:Step 2:
Q: PLEASE DO NOT USE AI
A: 1 . Domain of Analyticity - (a) f(z) = sin z : Since sine is an entire function (i .e . ,…
Q: Don't use chat gpt It Chatgpt means downvote
A: Least Squares Fit for Trigonometric FunctionProblem: Fit the function We want to fit a trigonometric…
Q: Two vectors a and b have the components, in meters, ax = +3.2, ay = +1.6, bx = +0.5, by = +4.5.…
A: Given:A. The vector a have components ax = +3.2 m, ay = +1.6 mIn component form, the vector a can be…
Q: Ex 49: Show that if u is a subspace of V then u= Span (W)
A: Step 1 Step 2
Q: 1: Prove the directed version of Veblen's Theorem : A directed graph admits a decomposition into…
A: 1st question: Proof OutlineTo prove Veblen's Theorem, we will demonstrate both directions of the…
Q: Problem 1 Find a basis for the kernel and the image of the following maps. Also find the dimension…
A: Step 1:Step 2: Step 3: Step 4:
Q: Y prime is the first derivative of y , find the integral of y prime to find y , show step by step…
A: .
Q: Please solve and show all steps and work.
A:
Q: The demand for subassembly S is 120 units in week 7. Each unit of S requires 1 unit of T and 2 units…
A: We must first dissect the demand for subassembly S into its components (T and U), and then into the…
Q: 10. Determine the sequence generated by each of the following exponential generating func- tions. a)…
A:
Q: U2 6. Is the set of all polynomials with integer coefficients a subspace of the set of all…
A: Problem 6No, the set of all polynomials with integer coefficients is not a subspace of the set of…
Q: Tim Urban, owner/manager of Urban's Motor Court in Key West, is considering outsourcing the daily…
A: 1.Let X be the crossover point. Not outsourcing = OutsourcingFixed cost + Variable cost per room…
Please help with i and ii.
Step by step
Solved in 2 steps with 2 images
- SOLVE STEP BY STEP IN DIGITAL FORMAT Given the transfer function H(s): Find y(t) when x(t)=8(t) = s+2 (s + 1)² + 4The Lotka-Volterra equations are often used to model the links between a particular population of prey organisms and a population of predatory organisms. In a particular ecosystem u is used to represent the number of predatory organisms and v to represent the number of prey organisms. Suppose the growth rate uv of the predatory organisms is f(u,v) = - 0.5u + and of the prey organisms is g(u,v) = 6v – 10uv. 100 (a) Show that if u = 0.6 and v = 50, then f (u,v) = 0, and g(u,v) = 0. (The populations are said to be in equilibrium.) %D %3D f(u,v) (b) Find the linear approximation of the vector valued function h:(u,v)→ if u is close to 0.6 and v is g(u,v) close to 50. (a) Evaluate f(u,v) at u = 0.6 and v = 50, f(0.6, 50) = (Type an integer.)Solve the first-order linear ODE t(t + 1)x' + tx = 6.
- Find the solution of the following ODE of variable coefficients:F = (2+-1) dttest the stability of dp/dt=cp(1-p)-ep. Given that p represents the fraction of islands occupied, 0 < p < 1. Let c represent the colonization rate and e represent the extinction rate. p1=0 and p2=1 - e/c, test the stability of p1 p2, graphically, through the first derivative test. Explicitly write d(dp/dt)/dp.
- dy dx = F (²) (²), y(a)= A. by the relation y (a) Show that by introducing the new dependent variable v(x) xv, equation (3.14) is transformed to the separable form = dv dx Use this transformation to find solutions of the following equations. F(v) — v 9 X v(a) = (3.14) A aLet f (x) = x2 –- 6x – 7 and F (x) = f (t) dt.S = (3+²-1) dt