Portland’s population in 2007 was about 568 thousand, and had been growing by about 1.1% each year. (a) write a formula for the population of Portland. (b) if this trend continues, what will Portland’s population be in 2016? (c) if this trend continues, when will Portland’s population reach 700 thousand? Answer with complete solutions and correct answers

Q: 1. Let u be a solution to ut = iuxxx + Ихх with initial condition u(x,0) = (x) on the upper half…

A:

Q: Determine if the following sets of vectors are linearly dependent or linearly independent. Why or…

A: Determine if the following sets of vectors are linearly dependent or linearly independent. Why or…

Q: B: Find the Fourier Series for the following function. f(t) = |t| + 1 -1 ≤ t ≤ 1

A:

Q: (a) Find the remainder of 21000 in division by 400. (Hint: We cannot use Euler's theorem directly…

A: As you said since 2 and 400 are not prime we cannot use Euler's theorem. However note that we…

Q: Solve the system of equations, starting with the initial vector of [0, 0, 0]. If necessary,…

A: The given system of Linear equations is:To solve these equations using the Jacobi method and Gauss…

Q: Prove that if K is any field which contains D, then K contains a subfield isomorphic to F, where F…

A: We have to prove that if K is any field which contains D, then K contains a subfield isomorphic to…

Q: The definition, u⚫v= = |u| |v| cos 0, implies the Cauchy-Schwarz inequality that |u•v|≤|u| |v|…

A:

Q: Find the solution of the given initial value problem. ty' + 2y = sint, y(7) = 3, = 3, t > 0 Y

A:

Q: motion diagram of a drag racer. The camera took one frame kills, you may want to review: Plotting…

A: Given that:

Q: O True (²7.¹7 (²77)) ²1¹7A (2)

A: This expression is False

Q: Find a particular solution yo of the following equation using the Method of Undetermined…

A: Firstly we find complementary function and then particular integral.

Q: For positive integer n, prove the following (given that I() = √T): T(n + 1) = 1-3.5 (2n-1)√√ 2" =…

A:

Q: 2 Use the method of integrating factors to solve the initial value problem ty' + y = cost, y(n) = 1.

A:

Q: Q2/(A) Using Laplacé transform, solve the following differential equation: y"-6y +9yte²t; y(0) = 0;…

A:

Q: Problem 1.2. Consider again the exact model from the previous problem and write 1 YMɛ² (1 + εr)2¹ R…

A:

Q: x(k)-3x(k-1)+2x(k-2)= e(k), e(k)= [1, k = 0, 1 0, k ≥ 2 x(-2) = x(-1) = 0

A: Given Equation:Here, The objective is to use  transform to solve the difference equation.Concept…

Q: Chromatic number-graph theory An airline offers return flights all departing from the same airport…

A: Given an airline offers return flights all departing from the same airport according to the…

Q: Find the coordinate vector of x = basis B [X] B = = M 4 LOJ of R³. 0 {Q.48} [B] with respect to the

A: The coordinate vector of x with respect to basis B={v1,v2,⋯,vn} is [x]B=[a1a2⋮an] such that…

Q: 4. (a) Give a natural deduction proof of ¬(A V B) from hypothesis¬A^-B. (b) Explain how you would…

A: As per the question, we will establish the implication (¬A ∨ ¬B) → ¬(A ∨ B) by assuming (¬A ∨ ¬B)…

Q: Exercise 3. Read the boxed definitions on p. 767. According to these definitions, how are the…

A:

Q: Exercise 6: Let S be a monempty subset of R that is bounded below. Prove that inf S= - sup { -…

A: Let  be a non-empty  subset  of   that  is  bounded below.Then, Infimum of S exists and  suppose…

Q: If S₁S2... S, or Stins₂n... ns, is contained in a prime ideal S, then for i (1 ≤ i ≤n) is contained…

A: If is contained in a prime ideal S, then we will prove that for i (1≤i≤n) is contained in S.

Q: The surface S is given by the parametric equation r(u, v) = ui + vj + −k, 0 ≤ u ≤ 1, 0≤ v ≤ 2. và…

A:

Q: 2x-y=-2 with coordinates (-1,6) what is the shortest distance orº d this the what is the shortest…

A:

Q: Exercise 1.19. Let P = (-1,1,7), Q = (1,3,5) and N = (–1,1,-1). Determine the distance between the…

A: Given Information: and .To find:The distance between the point  and the plane .Concept used: is just…

Q: How do I find the equation for the surface consisting of all points P for which the distance from P…

A:

Q: Find the unique solution to the 2nd order nonhomogeneous IVP. ODE: y" - 2y' - 3y = 8e* - 20 sin x…

A:

Q: Let U = {1, 2, 3} and A = U × U. In each case, show that = is an equivalence on A and find the…

A: Given Information: and There are four different types of relations given.To find: is an Equivalence…

Q: region V which is bounded by the hemisphere and the plane z = 1 where Verify Divergence theorem of…

A:

Q: Given the function y(x) = sin(4+ sin(2x)) and the mesh x = xo + ik, where co π 2' ㅠ determine the…

A: Note: We will be solving part (D) only as asked.The given function is .Given that .We need to find…

Q: Anna is building a sandbox. The length of the sandbox is 6 ft and the width is 2 1/2 feet. what is…

A: The length of the sandbox is 6 ft and the width is 2 1/2 feet. What is the area of the sandbox?

Q: It can also be shown: The rank of a matrix is equal to the number of its non-zero singular values.…

A: The rank of a matrix is equal to the number of its non-zero singular values.

Q: 5. For two 2 × 3 real matrices A = [ai,j], B = [bi,j] € Mat(2 × 3, R), define d(A, B) :: :=…

A:

Q: 8. Maximize z = x₂ + 3x3 + x4 X7 X2 X5 1 use phase 2 to slove it X1 ساده - 0 1 0 Show Transcribed…

A: Given Information:Table provided is the end table of phase I without any artifical variable. [This…

Q: Dif(a1, a2): = d dt etaz a₂ +t) (etc t=a1 f(x, y) = ey+x, = (etª²a² + 1)|t=a₁ = eª¹ª²a² + 1.

A: Given a multivariate function:  The aim is to find .Partial Derivative: Derivate of  with respect to…

Q: Find approximate values for f'(x) at each of the x-values given in the following table. Use a…

A: We need to approximate the value of f'(x) using right hand approximation from the…

Q: or which o-a

A:

Q: Que 405: Let S be a prime ideal of R and suppose that a product 1a2a3... an, of elements of R,…

A: Let S be a prime ideal of R and suppose that a product , of elements of R, belongs to S. Then prove…

Q: Ex 4.) Let Sbe a non empty bounded set in 1. aj Let azo, and let a S:= {as: SES}. Prove that inf…

A: Let S be any -empty bounded set in a) Let  , and let  Since,   is a bounded subset of , Sup and Inf…

Q: 3. (b) Consider the function f(x, y) = a(x² + y²) + xy + 1 for some real number a. Find Vf. Find fxx…

A:

Q: Consider the vectors u = 6i and v=7j. Sketch the vectors, find the angle between the vectors, and…

A:

Q: Given real numbers a and b, establish the following formulas max{a,b} = (a + b + |a-b|) min{a,b} =…

A: Given two real numbers .

Q: X+2=4 X-Y=6 X+Y-32=8

A: Given system of equations: We have to solve this system of equations by using Gauss-Jordon…

Q: a) Determine which amounts of postage can be formed using just 4-cent and 11-cent stamps. b) Prove…

A:

Q: A gym has four locations in the Sacramento area. There are 21 new treadmills that are to be…

A:

Q: Suppose that f(x) is continuous [except for a jump discontinuity at x = 0, f(x)= a and f(x) = 6] and…

A: Given that the function  is continuous [except for a discontinuity at ,  and ] and  is a piecewise…

Q: Prove that the cardinality of the set (0, 1) is the same as the cardinality of the intervals (a, b)…

A:

Q: Let T-1(x) = x³ + x. Prove that T1 is not structurally stable.

A: To prove that the transformation  is structurally stable, show that it satisfies the properties of…

Q: Express the interval in set-builder notation and graph the interval on a number line. [3,5]

A: Given an interval .

Q: 9.1. Regular values Define f: R² → R by f(x,y) = x² - 6xy+y². Find all values c ER for which the…

A: