Assume that the population of the greater roadrunner in the Guadelope Desert was 250 per hectare at the beginning of 1999. If the carrying capacity, K , is 750 and r = 0.25 per year, what is the number of roadrunners: (a) a century later, and (b) a millennium later?

Q: Find the surface areas of the figures on the right. (a) The surface area of the right trapezoidal…

A: Given the right trapezoidal , we are to find the surface area of the trapezoidal.

Q: Scientists used mathematical models to predict the growth of world population, computer converted…

A: Given: There is data of world population.

Q: To test the series for convergence, you can use the P-test. (You could also use the Integral Test,…

A: Note:P-test:The series ∑n=1∞1np is:1) convergent when p>12) divergent when p≤1

Q: 12 10 14 11 13 Consider the graph given above. Use the sorted edges algorithm to find a Hamiltonian…

A: Sorted-Edges Algorithm:   1. Sort the edges from lowest cost to highest cost 2. Add edges to your…

Q: Estimate the error in using the partial sum of 65 terms of the series k=1 Error DII * @ # $ & 2 4 5…

A: We have to find the error of series.

Q: 1.5 (3-x Q1) Evaluate the integral * dy dx using polar coordinate

A:

Q: The region D in the x, y plane defined by the inequalities 0 < x < 4, 4 < y < V32 – xe can be…

A: We will use relation between cartesian and polar co ordinate  x = r cosθ ,   y = r sinθ We will draw…

Q: b) If y(t) is the solution satisfying the initial condition y(0) 1, find the value of lim y(t).

A:

Q: A model created by an engineer is represented by the following multivariable functions w = ze*y¸ I…

A:

Q: I. Evaluate the following integrals. 1 1. d.x * ¤(9 – In? x)5/2 -

A: We can solve this using substitution method

Q: Question 11 8. 1 3 7 k 4 Let A = . If the dimension of the eigenspace corresponding 8. 0 0 0 3 to…

A:

Q: What is the limit of T(n) as n -> ∞?

A:

Q: 15 2 Suppose that G- is the Leslie Matrix of a population with two age groups. a (a) For which value…

A:

Q: A restaurant offers a choice of 5 salads, 15 main courses, and 9 desserts. How many possible…

A: We have find the probability of given problem.

Q: Equality of Matrices 1. Find a, b, c, x, y, and z to make matrices A and B equal if 1 B = x +1 b – 2…

A:

Q: Let f be on [aib] and differentiable on Caib), Prove that continuous If azo, then there are if X3…

A:

Q: 3.r – 21 – 4r - 3 dr 12(x² + x +1)

A:

Q: Consider the ordered bases B ((-1,2), (3, –3)) for the vector space R?. ((1,0), (0, 1)). ((1, 4),…

A: Since you have Posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: a) Solve the Equation log,(11x – 9) = 5 b) Convert to an equivalent exponential form log, 128 c)…

A:

Q: to find a Use the method of frobenius solution of the fallowing DDE: near

A:

Q: Prove or disprove the following cases: (i) If x E Q and p € R – Q, then x+p€R – Q. (ii) If x E Q…

A:

Q: What is the size of the payments that must be deposited at the beginning of each 6-month period in…

A:

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 cos (-0) in…

A:

Q: sin?(0)d0 here was (theta/4) – (sin (2theta)/8) + c which is wrong as I try to derive it and it…

A:

Q: 3. State the final value theorem. Verify theorem for the function 4+ e -2t (sin t + cos t)cm…

A:

Q: 7. Using pelor cerdinale te sehe e llowiny integrals ) dydx dady

A:

Q: Fnd Inside r-asine oud side ral aren

A:

Q: Write TRUE if the statement is always correct and FALSE if otherwise. (a) If an >0 for all n E N,…

A:

Q: Consider the 3 x 3 matrix A definced as follows A -8 -1 d. Find the eigenvalues of A° and their…

A:

Q: 9. dx x log 10 x e" dr 1 + e" 10. dx 11. 1 + e*

A:

Q: Solve: (dy/dx)? + (y– 1– (x/y)) dy/dx – x/y(y-1) = 0

A:

Q: The task is to find the local linear approximation of V2 3 g(x,y) = +cot (x +5). TT at (1, –1) to…

A: Local linear approximation of f(x, y) at the point (a, b) is given by Lx,y=fa,b+fxa,bx-a+fya,by-b

Q: +x (-1)" Given cos(x) = (-1)". n=0 (2n)! -x2n for all x E R, %3D 1. Express the integral cos x dx as…

A:

Q: Find a prime number p for which the equation x² = -1 mod p has no solution.

A:

Q: Using triple integral to find the volume of a solid whose base is the region in xy-plane (z = 0) and…

A:

Q: Q3) Evaluate triple integral , * dz dx dy.

A: We have to evaluate triple integral ∫-22∫y24∫04-xdz dx dy .

Q: Let S be the solid inside the sphere p = 6cos@and below the cone Ø = 1/4 Find the volume of the…

A:

Q: office.com received an $8000 invoice dated April 10. Terms were 2/10, 1/15, n/60. On April 14,…

A:

Q: Solve for the laplace transform x(t) = 4(t/5) e-t/6

A:

Q: 1.1 Determine the following particular integrals: 3 1.1.1 2х D³ -8 1 Ka² – 3)e* } 1.1.2 D² – 2D +3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The given vectors form a basis for R3. Apply the Gram-Schmidt Process to obtain an orthogonal basis.…

A: The solution is given as

Q: Consider the pdf shown. Determine (a) the constant b in terms of a. (b) P(X>a). (c) P(a < X< 3a).…

A: As per the policy of bartleby the provisions is to solve only three sub parts at a time

Q: +xy = xj + TP Solue D. E %3D

A: Given differential equation is Bernoulli's differential equation.

Q: B:Reverse the order of integration, then evaluate the following integral: ex dydx + dydx

A:

Q: Find the eigenvalues and eigenvectors of the matrix A 0 -3 0 -8 and and d3 = b3 = || ||

A: Given matrix is A = -3010-30-40-8

Q: 1. Let f be defined on an open interval (a, b) and assume that f has a local maximum or a local…

A:

Q: An insurance settlement of $2.5 million must replace Trixie Eden's income for the next 30 years.…

A:

Q: x′ = xy y′ = x + y2 - 4 What is the shape of the nullclines of the system and how many equilibrium…

A:

Q: O Prove that G(Vatienal number bers)is negrigibleset

A:

Q: e Newton's Method to approximate the zero(s) of the function. Continue the iterations until two x) =…

A: The given function is f(x)=x5+x-8 find f(-2) f(2)=25+-2+8=32+2-8=26 find f(-1) f(1)=15+1-8=+1+1-8=-6…