2.. 16 0 -[]+[C] X 12 X'= e X = [X₁ ; X₂] Initial condition X₁(0)=1, X₂(0) = 1 find the solutions X by (b) Diagonalization transform method

Q: The population, P, of kangaroos in a reservation is modelled by the logistic dP dt initially the…

A:

Q: K A pollster conducting a telephone poll asked the following three questions. 1. Are you religious?…

A: From the venn diagram  The region represent all religious persons polled who do not support assisted…

Q: Water temperature (degrees C) Fish respiration rate (bpm) 14 76 18 92 21 100 Imagine that…

A: The data collected for the three fish is a sample. The formula for Sample Standard Deviation is:…

Q: Let a, z, r, x, w, b, y, c E R. If the eigenvalues of the matrix of b, y and care: b= type your…

A: We know that the transpose of a matrix A is written as AT and the conjugate transpose of the matrix…

Q: We have shown in class that the acceleration of a particle can be decomposed into components that…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: (1) Graph the following lines. Show at least two points on each line.

A: (1) a. Given the line,                       y=-2x+3.

Q: (10) Let f(x, y) = y²cos(x) = x³ ln(y) Hint: Recall that cos(x)=sin(x) and sin(x) = cos(x)…

A:

Q: (ii) Prove the following Frenet-Serret formulae: T = KUN, N-KUT+TU B.

A:

Q: Determine which of the following forces are conservative. If a force is conservative, find its…

A: Let us consider the force F→ The curl of the F is obtained as curl F=ijk∂∂x∂∂y∂∂zFxFyFz If F is a…

Q: Let Z[i] = {a + bi : a,b ≤ Z}. This ring is called the Gaussian integers. Prove that Z[i]/(5) ≈…

A: x2+1=(x-2)(x-3) over  Z/5Z. and so by the Chinese Remainder Theorem…

Q: Consider the problem of maximize f(x,y,z) = xyz + 6xz subject to x+3y+z = 18, and x+y = 6. Suppose…

A: https://www.wolframalpha.com/input?i2d=true&i=x%2B3y%2Bz%3D17%5C%2844%29+x%2By-0.1z%3D7%5C%2844%…

Q: Use the accompanying Venn diagram, which shows the number of elements in region II to answer the…

A:

Q: y= Ae* + Bxex

A:

Q: Let p, q, and r represent simple statements as defined below. p: The teacher is engaging. q: The…

A: What is Statement: A statement is a declarative sentence that is either true or false. When we join…

Q: Use the accompanying Venn diagram, which shows the number of elements in region II to answer the…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: 30) verify that 15 a U = T₂ + solution of LA 1²+52² (ksin szt -√2 cos szt) + ce-kt du + + ku = k T₂…

A:

Q: 3) A technique once used by geologists to measure the density of a mineral is to mix two dense…

A: Consider the information given in the problem, Mass of the mineral grain=15.4448-12.4631g=2.9817 g…

Q: 3.9 Suppose that the second-order system i = f(x), with a locally Lipschitz f(x), has a limit cycle.…

A: Here we have given that the second-order system x˙=fx with a locally Lipschitz fx has a limit cycle.…

Q: (a) Explain the following terms in the context of linear programming: (i) Basic solution, (ii)…

A: explain the following in the context of linear programming (i) basic solution a basic solution is…

Q: 1. ABC Company can produce three types of shirts T, V and P. Three kinds of threads are required for…

A: What is LPP: In mathematics, linear programming is a technique for maximising actions under certain…

Q: Let (Z8, +8) and H={0,2,4, 6} .Find the normalizer of (H, +8) in (Z8, +8).

A:

Q: (a) Sketch a graph of y=5" and carefully draw three secant lines connecting the points P(0,1) and…

A: Hi!Thank you for your question. As per guidelines we can solve  one question at a time in case of…

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Show that SL(n, R) is a normal subgroup of GL(n, R). Further, by apply- ing Fundamental Theorem of…

A: Suppose, ϕ:GLn,R→R\0 such that ϕA=A for all A∈GLn,R Now, sinceA∈GLn,R if and only if A≠0 Now, we see…

Q: find F.T the? f(x) = u(t) cos wot let u(t)= πS (W) + J W Coswot = πTES (W_Wo+S (W

A: What is Fourier Transformation: Fourier transformation is categorized as an integral transformation.…

Q: Consider the function f(x, y, z) = xy + y² +². (a) What is the gradient grad f of f, and what is its…

A: (a) Consider the given function, fx,y,z=xy+y2+z2 Here we need to find the gradient of f and its…

Q: y" - y = 0, y(0) -)y" - y = 0, y(0) -)y" + y = 0, y(0) a) y" + y = 0, y(0)

A:

Q: Construct an example of an 3x5 matrix with rank 2: You can resize a matrix (when appropriate) by…

A:

Q: Equivalent Descriptions of Interior of an Angle. In class w possible definitions of the interior of…

A: Here, in the question given the description in the interior angle ∠BAC in part (a) having D in the…

Q: Show that R^n\0 is connected only for n other than 1 (with the usual topology of R^n).

A:

Q: 3. Define the functions ga(z) - n+1 0 else Then consider the function f(r)-9(r) defined on [0, 1].…

A: The given function is gn(x)=nn+12-n<x<2n0else  define on the set [0,1] and f=∑n=1∞gn(x) To…

Q: A math tutor working with a small study group has classified students in the group by whether or not…

A:

Q: Consider the unconstrained minimization problem minimize f(x) where f R²R is defined by : f(x) = x²…

A: As per the question we are given a minimisation problem with cost function f(x) And we have to prove…

Q: In this exercise you will prove Theorem 5.3. So consider triangle AABC. Let Pe Int (ZABC) and Q €…

A: What is Interior Point: When a point lies inside a triangle, it is referred to as the interior point…

Q: What is the number of non-negative integer solutions to the equation x+y+z+w=15?

A: Number of non-negative integral solutions for x1+x2+...+xn=m is given by Cn-1n+m-1 We have:…

Q: how do i find the domain and range of this?

A:

Q: Data was collected for 40 randomly selected honey bee hives on a farm. The number of parasites found…

A: From the graph we observed the second rectangular box that is interval of the class is 59.5 to 64.5.…

Q: 25. Let W=-+-+-12 + 6+ ... 6 8 10 16 Let Q=--+-12-16+(10-20- Notice that Q is a rearrangement of the…

A:

Q: III. As part of boosting your health this time of the pandemic, you ask your parent if you could…

A: For number of participants 20 or below the instructor charges ₱400 for each participant per month.…

Q: Find the general solution of the given differential equation. cos(x) + (sin(x))y = 1 dx y(x) = Give…

A: Here we have to solve the given differential equation cos(x)dydx+sin(x)y=1   .

Q: The modular representation of the integer 23 with respect to the modulo 2, 3, 5 is (1,2,3) (3,2,1)…

A: the modular representation of the integer 23 with respect to the modulo 2,3,5 is it is known that…

Q: Show that Converges where Power Series uniformly o<r <R E = [or],

A:

Q: PRETEST MULTIPLE CHOICE:Read and analyze the questions below and choose the correct answer. Write…

A: To choose correct options for given questions.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: 2 x+4x+7-39+2 = 2 Write the Cartesian equation using spherical events in its simplest form

A:

Q: Test the consistency of the following equations and solve them if they are  consistent  2? − ? + ? =…

A: Suppose, the unknowns are x,y,z. So, the equations are 2x-y+z=93x-y+z=64x-y+2z=7-x+y-z=4 The…

Q: Solve for X. Assume X is a 2 x 2 matrix. Do not use decimal numbers in your answer. If there are…

A:

Q: Which of the following functions V: R → R is a Lyapunov function for the respective continuous-time…

A: What is Lyapunov Function: Lyapunov functions are those function satisfying the Lyapunov stability…