-2 3 0 0 -5 0 0 r(t) 6 1 1 i(t) = 2 4 3 0 2 y(t) = [1 -1 0 0 ] x(t). Find an initial condition, x(0), such that x(0) 0 and y(t) = 0 for all t > 0.

Q: Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval…

A:

Q: D) How do you know that T: P3> P2? (How do you know that the codomain is correct?) E) Find T(x + 2x?…

A: Given, T(p(x))=p'(x)-xp"(x) (D) p(x)∈P3⇒p(x) is a polynomial at most of degree 3. ⇒p'(x) is a…

Q: Compute L(f(t)) 13. L((t+1)²) 1. L(2t) 14. L((t+2)²) 2. L(4t) 15. L(t(t+1)) 3. L(1+2t + t²) 16.…

A: In the given question wen have to find the Laplace transformation of the given functions. here we…

Q: f:N → N,Vx E N, f(X) = 5x² +3 g:N → N,Vx EN, g(x) = 3x – 2 (gof)(x) find (1

A:

Q: 7. Which is the domain of the function x + 8 + V3 – x – - 2 5, f (x) = Vx +7+ Vx + 3 ? (-0, 3) – {2}…

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Q: Y4(t) = ¿et is a particular solution of y" – y = 2e3t. The general solution of /" – y = 2e3t is…

A: We find whether the given statements are true or false.

Q: don't understand how the equation turned into 5x+x+6/x(x+6), could you go through the equation again…

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Q: Show that (a) x(t) * 8(t) = x(t)

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Q: 3. Find [g f](x) for f(a) = 2x +5 g(2) = 2 – 3. and

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Q: Find f(t). f(t) + 1 7) M(²-[ u t-

A:

Q: Find t for the following terminal points, 0 < t < 27 (a) P(0, 1), t = V2 v2 t (b) P %3D 2 (c) P( –…

A:

Q: = (15) Determine whether or not the functions y₁ 4x³, y2 = π, y3 = 12x², and y4 = 24x are linearly…

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Q: Find f(0) given f"(t) = 6 - 60 - 480², f(1) = 8, f(0) = 19

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Q: (a) Find the domain of V4 – 3w R(w) = w + 2

A: Please complete your question b part its incomplete. What is l ? Here I'm doing (a) part only.

Q: t< -1; Fx(t) = { (t+1)/2, -1<t< 1; t2 1, 0, 1,

A: We know that there are some following condition should be satisfied by a distribution function. 1)…

Q: 11. What is (f+g) (y) for the functions f(y)=5y²-2y g(y)=-3y²-y-2. + 1 O (f+g)(y) = (f+g)(x) =…

A: Find (f+g)(y)

Q: Let f(x) = 2x +3, g(x) = x – 4, and h(x)= 4x – 1. Compute (h o go f)(3).

A:

Q: The functions f1 (z), f2 (z) and f3 (z) defined in the following equations (being EC) are given. i.…

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Q: 2. A ball is thrown vertically upward so that its velocity at time t is v(t) = -9.8t + 19.6 meters…

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Q: Suppose f(t)=-H(t)-1²H(t)-3(t-1)H(t-1)+(-3) H(1-3)+(-5)H(1-5) Express f(t) analytically.

A:

Q: 3. Consider the functions, m(x) = x + 3x and p(x) = 2x + 5, Find m(p(1)) b. Find m(p(x)) a. c. Find…

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Q: F- -(0) = 2, y(0) = – 14 æ(t) = y(t) =

A: We have to solve the given system.                                          x'y'=21-41-8xy with…

Q: 20.) Find the linearization, L(x) ,of f(x)=x*+3x² values of f(x) when x=-1 , x=-1.1, x=-1.5 , and…

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Q: The distance traveled in the time interval 0 <t < 4 is given by the following. -4 r4 |t2 + 6t – 16|…

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Q: (a) Are the following functions surjective? Justify your answers. (i) The function a : Z→ Z defined…

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Q: Find F(s). {16e + 1) Wce - 13} (6t + 1) U(t F(s) =

A: We have to find Laplace transform of given function using Heaviside Shift Theorem.

Q: 1. v₁ = (4, −2, 6, −4), V₂ = (6, −3, 9, −6)

A:

Q: 2-21 if t 2 0 if t < 0 Let f(t) = %3D -2 -1 g(t) 3 1 -1 -2 and h(t) = t- 1. Find (f g)(-2).

A: Given that, ft=2t-2t   ;  if t≥0-t         ;   if t&lt;0 Table for the function g is given. We have…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.