The population of a country has a relative growth rate of 2% per year. The government is trying to reduce the growth rate to 1%. The population in 2011 was approximately 150 million. Find the projected population for the year 2031 for the following conditions. (Round your answers to the nearest whole number.) (a) The relative growth rate remains at 2% per year. 149 x million people (b) The relative growth rate is reduced to 1% per year. 122 x million people

Q: QUESTION 2 Consider : (R,+) → (GL₂(R), ) given by 1+t, -t p(t) = t, 1-t Verify that is a group…

A:

Q: the following integral, where y is the line - 1/2 dz

A:

Q: Let k> 1 be such that p = 6k+1, q = 12k + 1, and r = 18k+ 1 are prime. Show that n = pqr is a…

A:

Q: Perform the operations and express the answer in polar form. 17. (2 240°) (4 <20°) =

A:

Q: Q.16 Given the following set of points: 1.5 6.11 2.5 3.0 12.98 17.85 Using 3-terms Lagrange…

A: The given problem is to find the value of x for which f(x)=15 for the given set of points and by…

Q: The set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for…

A: The given set 10-109, -515-9 is a basis for a subspace W. Using the Gram Schmidt process to produce…

Q: Find a power series representation for the function. (Give your power series representation centered…

A: The given problem is to find the power series expansion for the given function and also to find the…

Q: The matrix A= 6 0 27 0 4 0 -202 has a single real eigenvalue A=4 with algebraic multiplicity three.…

A:

Q: Use the bisection method to find the root of the following equation in the interval [0, 3]. Show all…

A:

Q: Use Venn diagrams to illustrate the given identity for subsets A, B, and C of S. AN (BUC) = (ANB) U…

A:

Q: X' = 9-40 1 0 0 2 X 29 Find the repeated eigenvalue of

A: One has to find the eigenvalues and eigenvectors to get the general solution.

Q: Let K/F and f € F[t]. Show the following: If FCR and a = a + ib is a root of f with a, b E R then a…

A: K/F and f∈F[t].

Q: a. Find all the intersection points of the following curves. b. Find the area of the entire region…

A: Plotting the curve:

Q: The given set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal…

A: Here we have to find the orthogonal basis of W using gram schmidt process.

Q: What is the Euclidean distance between X(3,7) and Y( 5, 3)? 0 5 O 6.76 O 4.69 O 9.56

A: We have to find euclidean distance between two points X(3,7) and Y (5,3) We know euclidean distance…

Q: Evaluate Evaluate dx using trapezoidal method to four decimal places. take n = 6. dx using Simpson's…

A: We have to evaluate the integration by Trapezoidal method and Simpson method for n=6

Q: (1.OLZ³Z) (1,522³E)

A: One needs to find the product.

Q: (f) Jocelyn is walking along the same path. Selected values of her velocity and positions on the…

A: From given table in part (f): m(10)=20, m(2)=55 We know, m'(t)=dm(t)dt∫m'(t)dt=m(t)+c

Q: I STILL DONT UNDERSTAND HOW YOU GOT 2 AS THE MULTIPLICATIVE INVERSE IN THE FIRST QUESTION

A:

Q: 1. Define each formula. Each formula means something different. Make sure your definitions are…

A:

Q: 5. A subset A of R" is convex if for every two points u, v in A, the line segment tu+(1−t)v, 0≤t≤ 1…

A:

Q: (9) Why is this function continuous over its domain? Need to explain the details. Also, find the…

A: Function :wt=6t2+2

Q: The projected year-end assets in a certain country's government trust funds, in trillions of…

A:

Q: 2. Give an estimate for (4x)f(x + 1) dx using a Riemann sum with three -1 equally sized intervals,…

A:

Q: A psychologist uses two types of boxes with mice and rats. The amount of time (in minutes) that each…

A: Let x be the number of mice and y be the number of rats. The problem can be modeled as follows:…

Q: B: A bar with insulated ends. Find the solution to the boundary value problem for one dimension heat…

A:

Q: Compute the following integral, where is the boundary of the square with vertices at ±4±4i,…

A: Our objective is given below:

Q: Consider the function f(x) = 6x-x² and the point P(1.5) on the graph off. Find the slope of the…

A:

Q: 2. Find all integer solutions for the following (express the set of solutions using set-builder…

A:

Q: In the following exercises I give you the symbols that you will use for predicates or relations.…

A:

Q: and f-¹(x). 1. f(x) 2. f(x) = = 6x 4 3x - 3. f(x) - = 2x - 7 6 – 52 D X 2 . Compute for (f o f¯¹)(x)…

A: (I) The given function is f(x)=6x-4. f(x)=3xx-2 f(x)=2x-76-5x. To Find: domain and range of the…

Q: anx ; and an [a, b] ⇒ flan) → f(x) ;ant an[a,b]

A: The given statement is related to sequence.

Q: 1, let m be an integer with m> 1. Define the relation R on the set of integers where aRb if a = b…

A:

Q: 48. Consider the matrix A = 2 -4 4 - 1 3 2 k -2 6 لیا (a) If A is the augmented matrix of a system…

A:

Q: Evaluate [sin² (7x)dx using Simpson's method to four decimal places. take n = 6.

A: ∫01sin2πxdx       To find: Above integral using Simpson's method if n=6.

Q: Let [8]131 - [42]131 [al131, where a is a nonnegative integer less than 131. What is a? Answer: 34 X

A: The notation [x]y denotes the remainder when x is divided by y. For example, [8]131 represents the…

Q: Use the given transformation to evaluate the integral. J. (9x +9y) dA. where R is the parallelogram…

A: Using the given transformation to evaluate the integral of (9x+9y) dA, where R is the parallelogram…

Q: Assume that T is a linear transformation. Find the standard matrix of T. 2x T: R² →R², rotates…

A: T : ℝ2→ℝ2 is a linear transformation, which rotates points through -2π3radians. To Do: Find the…

Q: Consider the vector field F = (xªy³, x³y¹) Is this vector field Conservative? Conservative If so:…

A:

Q: 5. Find the total length, curvature and torsion of a curve: [cos² t,sin² t, 0] 0≤t≤n?

A: We find total length, curvature and torsion

Q: Find the surface area and show ALL your work Find the surface area of the surface generated by…

A: The surface area of the surface generated by revolving fx=x4+2x2 for x=0, x=1 about y-axis has to be…

Q: 11. Find the Taylor series centered at a = 0 for f(x) = (1+x)-³. Show ALL work. Do not use any…

A: We have to find the Taylor series

Q: F(x) = x + ²nx -o [0.5, 0.6] E=0.001

A:

Q: 126 CHAPTER 3 Second-Order Linear Differential Equations 19. Show that W[et cos(ut), et sin(ur)] =…

A: As you are posted multiple questions but according to bartleby guidelines we do only first question…

Q: The following table shows the number of new (single-unit) houses started, in thousands, in the…

A: According to the given data, find the set that is housing starts in 2013 excluding housing starts in…

Q: Find the fifth root of -32i that graphs in the fourth quadrant. [? ] (cos + isinº)

A: Rectangular coordinate : -32i

Q: Consider the region between the curves y = x and y = 2√x. Find the volume of the solid obtained by…

A: To find volume by using (i) the methods of ring and (ii) methods of cylinder.

Q: 1. Solve the IVP d²y + y = u(t - 3π); y(0) = 1, y'(0) = 0 by Laplace Transform. dt²

A:

Q: In this problem, your task is to list all the constants, free variables and bound variables in each…

A: We know that, in formal symbols: a,b,c,…,m,n,… are represents constants. x,y,z represents…

Q: Q4. Solve numerically by using the improved Euler's method dy-√√xy + 1 dx = 0 with y(0) = 1 for…

A: