Use X = eAtC to find the general solution of the given system. %3D 0 0 0 X' =5 0 0X 7 10 X(t) = %3D

Q: Exact ODE y'sin2nx-nycos 2rx

A:

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 1 + e2t L{f(t)} =

A:

Q: Let AABC be a triangle with AB = 3, AC = 4, BC = 5. Determine the measure of the angle between the…

A: In the right angle triangle the circumcenter lies in the mid point of the hypotenuse. The…

Q: b. y = 4x (2x-1)⁹

A:

Q: In this figure, triangle RST is similar to triangle XYZ. Mark whether each statement is true or…

A: We have find the true /false

Q: Recall that X = 0(t)-1(to)X, + (t) -(s)F(s) ds solves the initial value problem X' = AX + F(t), X(t)…

A:

Q: Suppose that dP/dt- 0.14P(t) represents a mathematical model for the growth of a certain cell…

A: Given:the growth of a culture at time t is dPdt = 0.14P(t)P = 2 million cells

Q: Solve the given differential equation. x2y" - 3xy' - 3y = 0 y(x) = ,X > 0

A:

Q: Use (1) in Section 8.4 X = eAtc (1) to find the general solution of the given system. 1 0 X' = X(t)…

A:

Q: Find the perimeter and the area of a triangle in the Euclidean plane knowing that the lengths of the…

A: In 2-dimensional space, amount of space covered by any shape is called area of the shape. And…

Q: Use the Laplace transform to solve the given initial-value problem. y' + 5y = e4t, y(0) = 2 %3D y(t)…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2 y(t) %3D

A:

Q: Kound to four decimal places as needed.) -1.6 0.05 -1.5 0.06 -1.4 0.08 - 1.3 0.09 -1.2 0.11 -1.1…

A: Given that  X~Normal(μ=100, σ=10) μ=100 , σ=10

Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = An (A)° = A – int A (ii)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2 50 = 50t Rint 204 Rint %3D

A: Solving the problem by finding the Rint.

Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

A: We have to solve the given system.

Q: e1 WITH EXCEL FUNCTIONS d crowd is normally distributed with a mean of 3000 and standard deviation…

A: Expected crowd is normally distributed with a mean of 3000 and standard deviation of 400. Average…

Q: Suppose that dP/dt - 0.18P(t) represents a mathematical model for the growth of a certain cell…

A: Given that dP/dt = 0.18 P(t)  Where P(t) is the size of culture at time t.

Q: The table to the right gives the number of people by age group in a town of 100 000. (a) Add two…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Solve the differential equation by variation of parameters. 4y"-y = ex/2 + 6 y(x) =

A:

Q: Part b) What is the probability that a randomly selected college senior who uses the career center…

A: Given: We collect a random sample of 1000 college seniors who complete job applications through the…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A:

Q: The given vectors are solutions of a system X' = AX. Determine whether the vectors form a…

A:

Q: Find the general solution of the given second-order differential equation. y"- 10y' + 26y = 0 %3D…

A:

Q: Find the general solution of the differential equation. y(4) – 18y(3) + 81y" = 0 y(X) =

A: solution of the given problem is below...

Q: Let A = {4, 5, 6} and B = {6,7} and define a relation R from A to Bas: (x, y) E R means that x – y…

A: We have to perform the subtraction operation here on the 2 sets. If on subtraction every element of…