Barbados has an estimated population (in hundred thousand) t years from now as described below using the function: ?(?) = 66? 4 + 3? 2 + 50/2? 4 + 4? + 20 Using the statement above answer the following questions below;  a) Determine Barbados’ population at the present time t. b) Determine Barbados’s population in the long run.

Q: Let A = {1,2,3,4} and B = {5, 6, 7}. Let f be the relation f = {(1,5). (2,5), (3,6), (?, ?)} where…

A:

Q: 2. Let f(t)= t for t in [-7, 7]. Use the exponential show that k=1 k2 6 Fourier series for f to

A:

Q: Let d, t € N be such that d | t. Prove that if x, y € Z are such that x = y (mod t), then x = y(mod…

A:

Q: Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace a. Find a nonzero…

A: Let   be the  vector  space  of   symmetric matrices.Suppose  that Then,               a) Choose .…

Q: An aquarium 4 ft long, 2 ft wide, and 2 ft deep is full of water. (Recall that the weight density of…

A:

Q: Show that any two rows of a matrix can be interchanged by elementary row transformations of the…

A: According to the question,

Q: Max Z = 120X1 + 125X2 + 145X3 12X1 + 24X2 + 5X3 = 45 8X1 + 5X2 + 2X2 >= 36 5X1 + 6X2 + 12X3 = 0…

A: Max Note: The second constrain given is , writing it as

Q: Completely factor each polynomial given a know factor. What are all of the zeros of the polynomial?…

A:

Q: NCAA basketball, a “three-point shot” is defined by an arc radius of 20 feet, 9 inches. Convert this…

A: NCAA basketball, a “three-point shot” is defined by an arc radius of 20 feet, 9 inches. Convert this…

Q: 6. Consider the mass spring system whose motion y(t) is governed by y" + 4y' + 3y = 30 cos 3t, y(0)…

A:

Q: Which set below is defined by the following notation, where 2 is a set of integers [x2:x³-8) (A) D…

A:

Q: Find the area of the portion of the sphere with - 1/250s1/20

A: The parametrization is given by

Q: 4.5.) Diagonalizability of a matrix is unrelated to its invertiblity Determine for the following…

A: We have to determine the following matrix is  diagonalizable or not and invertible or not

Q: Question 2: Dwayne Jetski is a famous hockey player who has a powerful (though sometimes wild) slap…

A: The binomial probability is used when there are a fixed number of independent trials (in this case,…

Q: Consider the subset of P3 Q = {−6x² + 4x − 6, −24x² + sx + 6, 2sx + s} Find the two values of s for…

A: In this question, we will find the values of 's' for which a given set is linearly dependent.

Q: Determine the sum of the following series. Σ(119)

A:

Q: Suppose that the probability of observing |0⟩ in the state |ϕ1⟩ is 1/4 and the probability…

A: The question is asking us to consider two different quantum states, |ϕ1⟩ and |ϕ2⟩, and the…

Q: Consider the functions C: R → R and S: R → R defined by C(x) = = Σ n=0 n 2n (-1)"x² (2n)! and S(x) =…

A: Proof:Assume that C(x) > 0 for all x > 0.We have that:dSdx=C(x) Since C(x) > 0 for all x…

Q: RAN y X 3x+2y+z x+2y+6z [2y-5x+z] ✓

A: A linear transformation is a mathematical operation that takes input vectors, performs linear…

Q: Min Z = 12X1 + 18X2 + 8X3  5X1 + 8X2 +9X2 >= 18  9X1 + 15X2 + 12X3 >= 36  10X1 + 15X2 + 12X3 >= 45…

A: Min subjected to constrain

Q: The Outdoor Furniture Corporation manufactures two products, benches (X) and picnic tables (Y) for…

A: Given:number of benchesnumber of picnic tablesThe labor constraint:The material constraint:Objective…

Q: Given points P, Q, R, and S. If PQ is aligned with SR and PS is aligned with QR, then prove that PR…

A:

Q: 1. Find the value of k that satisfies the following equations: (a) (b) det [301 302 3a3 361 362 363…

A:

Q: Consider the following. 49 7 -7-y ſªº √√ √¹¯³ ƒ(x, y, z)dzdydx Rewrite this integral as an…

A: To rewrite this integral as an equivalent iterated integral in the five other orders, we have to…

Q: A pair of dice is tossed. Find the probability that the sum on the 2 dice is 4, given that doubles…

A:

Q: If A / B So .... A. ¡({A), AB)=AB 3. (A), AB)=Ø C. (A), AB) C AB D. (A), AB)-{B} Give an…

A:

Q: Using the € - 6 definition of limit, prove that x lim x 27x13 = : 2.

A:

Q: 3. Suppose that n is an odd positive integer and write o(n) a b n with ged(a, b) = 1. Show that the…

A:

Q: Suppose A is bounded and not compact. Prove that there is a function that is continuous on A, but…

A: Let A be an open interval set, such that . This set is not compact since it is not closed. We have…

Q: 5. Suppose that a is a positive integer relatively prime to 10. Show that a divides infinitel many…

A: Suppose that a is a positive integer relatively prime to 10. We have to Show that a divides…

Q: Find general solutions for the following differential equations (a) x²y" - xy + y = 2xlnx + 10

A:

Q: Write your answers in the form of a complete English sentence. Which of the statements are…

A: a) Given Statement: Whoever writes the exam has a proper ID card.- Conversion: If someone has a…

Q: Diagonalize the following matrix. -15 -187 [-15 -15 12 15 P= D = 8 36 P-1 =

A: The given problem is to diagonalize the given matrix.Given matrix,

Q: Which of the following statements are true? Create an answer using the numbers associated with the…

A: Which of the following statements are true?1. BE  is a tangent of  ⊙D⊙2. A secant is a line…

Q: arah took clothes to the cleaners three times last month.​ First, she brought 2 shirts and 2 pairs…

A:

Q: Use the graph to evaluate the expressions (fog)(1)and (gof)(3). (fog)(1) = O y = f(x) 10 ₹ 8- 6…

A:

Q: 5. Find the area of the Hershey kiss enclosed by r₁(t) = (sin(nt)², †² − 1) for −1 ≤ t ≤ 1. -

A:

Q: 4. Let f R³ → R be defined by f(x, y, z) = x³y³ + x¹z¹ — 100xyz - 1 6 8 4 Show that the zero set…

A: Given that : Let  be defined by  ,The zero set We  have  to show that  the set is  not…

Q: Suppose that g = g(q, p, t), and that H is the Hamiltonian. Show that: a) (See the Figure) b) if…

A:

Q: Use the Gauss-Jordan method to solve for the given system of equations.  x+y-z=-5 3x-y+z=9…

A:

Q: For the series below calculate the sum of the first 3 terms, S3, and find a bound for the error.…

A:

Q: Let = (2, 4, 3) and = (5, 4, 4). Express the vector as the sum of a vector parallel to w and a…

A:

Q: Let a, b and w be constants, with w‡0. (a) Show that the Euler-Lagrange equation for the functional…

A:

Q: Consider the following. B = {(0, 1, 4), (-1, 1, 4), (-2, 2, 12)}, B' = {(10, 3, -3), (3, 1, -1),…

A:

Q: Find the general solution to the following linear system. Write the solution as the sum of the…

A:

Q: A bag contains 41 U.S. quarters and nine Canadian quarters. (The coins are identical in size.) If…

A: The objective of this question is to find the probability of getting at least one Canadian quarter…

Q: Please draw the level curves of the following shown below. Show your work: a) z = x² b) z = x² + y²…

A:

Q: Let A={a,b,c,d, e) and B = {d,e,f,g, h,i}. The cardinality of the set |BXAVAXB| is: A B D 30 26 4

A: Cardinality of the set.

Q: Suppose a matrix A that reverses and shifts the values of a vector x, i.e., Ax = = (X2, X1, Xn,…

A:

Q: For each of the following functionals, find the Gâteaux differential and use it to derive the…

A: