If the increase in population at (n+1)th year of certain species on a culture is equals to the average population of the previous two years plus nth power of 2. Then: a) Find the Recurrence relation of the problem. ho b) If initial two years of the population of species is 0 and 1, find the explicit solution for the population at n'th year.

Q: True or False? "A social choice function that always chooses some predetermined option x is…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: Which matrix represents the number of walks of length 2 and how many walks of length 2 are in the…

A:

Q: Solve the given initial-value problem. y" + y = 10 cos 2x - 4 sin x, y(x) = y(π/2) y(π/2) = -1,…

A:

Q: uppose that A and B are n x n matrices. Which of the following statements is (are) false? Statements…

A: This is a question of linear transformation.

Q: Tan Company purchased a large server for $20,000. The company paid 35% of the value as a…

A: Solution:

Q: Use spherical coordinates to evaluate 0 0 0 2 2-r r-: (r² + z²) ² rdz dr d0.

A: As per the question we are given a triple integral in cylindrical coordinates and we have to…

Q: Problem 6. For what values of h are the vectors -21 [*] 3 h and linearly independent?

A:

Q: 35) In the figure below, pre-image trapezoid Z is rotated about point X to image trapezoid Z’.…

A: Given: The given figure, where pre-image trapezoid Z is rotated about point X to image trapezoid Z'.…

Q: 2- Evaluate sin x dx using i. Trapezoidal rule ii. Simpson's rule iii. Simpson's rule, taking n = 6

A:

Q: h(x) = 23x+1 - 2x-2 1. Write Dr and then solve the equation r(x)=0

A: Given function is rx=23x+1−2x−2. We have to write Dr that is domain of the function rx and the solve…

Q: f sin xcos¹ xdx

A:

Q: y" + 3y' + 2y = 8(† — 5) + U₁0(t); y(0) = 0, y'(0) = 1/2

A: Solution :-

Q: A series circuit has a capacitor of 0.128. 10° F and an indu 1.25 H. If the initial charge on the…

A: From LC circuit and Kirchhoff's Law we know d2idt2+1LCi=0 given capacitor C=0.128×10-6F and inductor…

Q: A 100-gal tank initially contains 25% dye solution. A 40% dye solution is allowed to enter at a rate…

A: Lets say there be Q gm of dye  in the tank at a time 't'

Q: answer is incorrect please provide correct answer

A:

Q: [29 481 56 76 58 78 Decode the matrix L7 12 J using the inverse of the matrix a b MEZQUITE DOCUMENT…

A: Solution:

Q: Give an example of a non-commutative ring R without unity such that (xy)^2 = x^2.y^2 for all x,y in…

A: We consider the example of a non-commutative ring R without unity such that (xy)2 = x2y2 for all x…

Q: Q5: For the differential equation below: x+3 x(x-81)y" + x². (x-3)(x² +9) (x+3) y+x (x-3)24-0 a)…

A:

Q: 24 Change the order of integration and evaluate dx dy. y²

A:

Q: Shown below are matrix A and its rref, R. 3 A = -6 0 b. Find nullity (AT). 050 1 1 5 01 1 2] 00-4 5…

A:

Q: Your answer is correct. dy dt Write down a differential equation of the form = all other solutions…

A:

Q: Problem 8. Define a transformation T: R2 R³ by T(₁, 2) = (-21 - 8x2, 6x1 + x2, 4x1 - 7x2). (a) Find…

A:

Q: Assume that y is the solution of the initial-value problem S If y is written as a power series then…

A:

Q: Use coordinate vectors to determine whether the given polynomials are linearly dependent in P2. Let…

A: Solution :- Given coordinate vectors are :- 1,2,1,3,0,9 and 1,4,5Now find the determinant formed by…

Q: 1. So dx 2. 3. x² (x+1)4 fxcos2xdx 4. TL TT TT Sễ sin²4ycos²2ydy sin*xcosxdx

A:

Q: Q2 Test the convergence of the following series n2 +n+3 1)Σ n=1 2n2+1 2)Σ =o (n+4)! 4!η! 4η 5 3) Σ=1…

A:

Q: 3x-2y=-7 2x+y = 7

A: given graphs

Q: Given f(x) = (1+x)1/3, a. Determine the Maclaurin series up to n=3 expressed as a simplified…

A:

Q: 3. Describe the transformations that were applied to y = to create y = ( † (x − 5))³ horizontally…

A:

Q: Solve the linear programming problem. Minimize C=10x + 7y Subject to 6x + 7y ≥ 42 x.y 20 A What is…

A: Minimize  C=10x+7y Subject to  6x+7y≥42x, y≥0 Lets use graphical method to solve it.

Q: 00 If 8¹ is convergent, does it follow that the following series are convergent? n n=0 Choose the…

A:

Q: explain why. (4k²-3) a) Σ=1 (7k²+6) k

A: ROOT TEST For  a given series ∑k=1∞ak, if  (i) limk→∞akk < 1 then the series ∑k=1∞ak convergent.…

Q: A committee is to consist of a chair, two hagglers, and six do-nothings. The committee is formed by…

A:

Q: 4. For a particular statement P→ Q we know that if P = true and Q = true the statement is true. When…

A: The conditional statement P→Q is false only when P is true and Q is false. In all other cases it is…

Q: oll Show that sequence {n} n = 1, where .... 1/1₂ 0₂0₂...) converges 1/1,0,0 :) 9 9... 1/ng...) in…

A: We have to show that the sequence xnn≥1 defined by ; xn = 1, 12, ..., 1n, 0, 0,...  converges to  x…

Q: A cable hangs between two poles that are 70-ft apart. The two poles are both 40 foot high. Sag is…

A:

Q: 1. Consider the differential equation 18y" - 9y' - 9y = -9y"" - 9u" - 18u' + 9u The input matrix of…

A:

Q: 1. Find the solution of the IVP. Show the details of your work. y" + 5y' + 6y= u(t − 1) + d(t − 2),…

A:

Q: Find the eigenvalues and eigenfunctions. Verify orthogonality. Show details of your work. y" - 2y' +…

A: It is given that y''-2y'+λ+1y=0, y0=0, and y1=0. Consider the value of λ, that is, λ=0, λ<0, and…

Q: A family of curves has polar equations  ra  =  ∣ sin 2θ∣ where a is a positive number. Investigate…

A: The equation of the family of curves is ra=sin2θ, where a is a positive number. We need to visualize…

Q: az Q3.If Z= f(x,y)=4 e ln(y), and x = ln (u cosv), y = u sin v, use chain rule to find: 2 ди and az…

A: Solution 3: Given that  Z=fx,y=4exlny and  x=lnu cosv, y=u sinv By chain rule…

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places..³- - x =…

A:

Q: Q3) Solve the following differential equation using finite difference method xy" = y + 5xe-x Using…

A: Given,          xy''=y+5xe-x                                      ...(1) and  0≤x≤1, h=0.25, y(0)=0,…

Q: Solve the recurrence relation, given: • ao = 3 . • a₁ = 4 . • an = 5an-1-6an-2 Remember: • The…

A: Given recurrence relation is a0=3,  a1=4,  an=5 an-1-6 an-2   To Solve: the above recurrence…

Q: What is the horizontal asymptote of f(x) = Py- y-/1/2 72 A I دان 2x-7, ·? 5x+3

A:

Q: 2- The work can be computed as: W = fpdV. Using a combination of the trapezoidal rule, Simpson's 1/3…

A: Given: Let us consider the given table, W=∫p dV Lets determine the work by using, Trapezoidal rule…

Q: Activity 2: Magic Circles A magic circle is a circular array of numbers arranged in a special…

A: Given, Magic circle in which the sum of numbers along each diameter is 18. To find the number in the…

Q: Use the Monotone Convergence Theorem to show that the sequence +00 n! {1-3-5--* (2n-1)} converges.…

A:

Q: unique solutions or infinitely many?

A: Please five the answer in next step

Q: 3. Let A be mxn and B be nxm. a) Show that the matrices C = 0 0 :) B BA b) Conclude that the nonzero…

A: