can you solve according to tables, please ? For the initial value problem z"+4x' +13x = t, (0) = -1, 2'(0) = 1, the Laplace transformX(s) of the solution z(t) isLaplace Transform table2n!t",n = 1, 2, 3, ...n+1s+382+4s+13111s2+4ss2(s²+4s+13)eatS - an!*eat, n = 1,2,3,...(s -a)2+1asin at2 + a?2. seçenek3. seçenekaele sin at(s - k)? + a?(-s - 3 -!+)1s2 +4s+13s2(s²+4s+13)52+4s4. seçenek1. seçenek Laplace TransformsLaplace Transfor msF(s) = L{f(t)}2 as(g2 + a?)2F(s) = L{f(t)}f(t)f(t)Cif(t) + Cg(t)CF(s) + CG(s)tsin atF(s - k)1cos atg2 + a?s - kf(kt)kcosatdF(s)(s – k)² + a²tf(t)dsg2 - a?t cos atd"F(s)(-1)"-ds"(s2 + a² )²asinh at2 - a?F(s)dscoshats2 - atF(s)u(t - to)1u(t – to)f(t - o)e-F(s)18(t – to)T(a + 1)1go, a > - 1At), periodic of period pe-"f(t)dtga+11 - e-ps-1/2f'(t)sF(s) - K0)VsF(s) – sf(0) - f(0)s"F(s) – s*-f0) -f" (t)1F(s)G(s)

Use table which is given in the question.

For the initisl value problem z"+4z' +13z = t, z(0) = -1,2(0) = 1, the Laplace trensform X(s) of the solution z(t) is (-8 - +5) s+3 3²+4s+13 1 s2+4s (-s 32(s²+4s+13) O 2. seçenek 3. seçenek + 32(8²+48+13) (-8 – 3 – ! + ) 3²+4s+13 52+4s O 4. seçenek 1. seçenek

For the initisl value problem z"+4z' +13z = t, z(0) = -1,2(0) = 1, the Laplace trensform X(s) of the solution z(t) is (-8 - +5) s+3 3²+4s+13 1 s2+4s (-s 32(s²+4s+13) O 2. seçenek 3. seçenek + 32(8²+48+13) (-8 – 3 – ! + ) 3²+4s+13 52+4s O 4. seçenek 1. seçenek

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.1: Systems Of Equations

Problem 50E

See similar textbooks

Similar questions

Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R=L/k. For this exercise and the next, we suppose that at time t=0, the forest floor is clear of litter. a. If D is the difference between the limiting value and A, so that D=RA, then D is an exponential function of time. Find the initial value of D in terms of R. b. The yearly decay factor for D is ek. Find a formula for D in term of R and k. Reminder:(ab)c=abc. c. Explain why A=RRekt.
Maximum Sales Growth This is a continuation of Exercise 10. In this exercise, we determine how the sales level that gives the maximum growth rate is related to the limit on sales. Assume, as above, that the constant of proportionality is 0.3, but now suppose that sales grow to a level of 4 thousand dollars in the limit. a. Write an equation that shows the proportionality relation for G. b. On the basis of the equation from part a, make a graph of G as a function of s. c. At what sales level is the growth rate as large as possible? d. Replace the limit of 4 thousand dollars with another number, and find at what sales level the growth rate is as large as possible. What is the relationship between the limit and the sales level that gives the largest growth rate? Does this relationship change if the proportionality constant is changed? e. Use your answers in part d to explain how to determine the limit if we are given sales data showing the sales up to a point where the growth rate begins to decrease.
Calculus Define T:P2R by T(p)=01p(x)dx What is the kernel of T?
Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?
The Celsius temperaturein a region in space is given by T(x, y, z) = 2x2 - xyz. Aparticle is moving in this region and its position at time t is givenby x = 2t2, y = 3t, z = -t2, where time is measured in secondsand distance in meters. How fast is the temperature experienced by the particle changing in degrees Celsius per meter when the particle is at the point P(8, 6, -4)?
Find a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate. f(x)=6*e-x , a=−0.1 Set the center of the linearization as x=0 The linearization is L(x)equals=_______________
You are designing an RPG (role-playing game) for a gaming console and have decided to use an open world design, where players can explore the terrain freely, encountering enemies by chance. Your design team has coded this in-game world to exist on the circle x^2 + y^2 ≤ 900 on the xy-plane. At any point (x,y) in this world you've also associated a danger function d(x,y) that measures how likely it is to encounter an enemy at that point. Thus high values of d(x,y) correspond to dangerous points, while low values of d(x,y) correspond to safe points. If d(x,y) = e^(-x^2)(y), find the safest point(s) and most dangerous point(s) in-game.
Let f(x,y)= 6-3xy+x2 a) The function f has only one stationary point. Find it. b) Is the stationary point of f a local maximum, or local minimum, or a saddle point? Justify your answer.
The long run. A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental cost of its machinery is $6 per hour. Suppose that a chair can be produced using 4 hours of labour or machinery in any combination. The firm is currently using 1 hour of labour for every 3 hours of machine time. (Assume that labour is on the horizontal axis and capital is on the vertical axis). 3. Graphically illustrate your answer by drawing an isoquant, an isocost line for the current combination of labour and capital and an isocost line for the optimal combination of labour and capital. An isocost corresponding to the optimal combination of labour and capital is [a vertical line, a horizontal line, an upward sloping straight line, an upward sloping curve which is not a straight line, a downward sloping straight line, a downward sloping curve which is not a straight line, L-shaped] has slope [ ] at the optimal combination of inputs An isoquant…
[Gradient Vectors] Let f(x, y, z) = x^3z − yz2.(a) If we start at the point (1, 3, 2), then in what direction should we move if we want to maximize thedirectional derivative?(b) What is the instantaneous rate of change of f if we change the variables in the direction from part (a)?(c) What must be true for any direction if the instantaneous rate of change from (1, 3, 2) is equal to 0? Whatshape is formed by the collection of these vectors? (Be as specific as you can.)
A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture. Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0), but for x > 0, it is found thaty =0.5(x² + 3x)/x³ + x² + 4xAssuming the oil slick is continuously distributed, howthick would you expect it to be at the source?
(Derivatives) 5.12.1) Find Limit ?