The alumni of Athabasca University contribute (C) or do not contribute (NC) to the alumni fund according to this pattern: 75% of those who contribute one year will contribute the next year; 15% of those who do not contribute one year will contribute the next. Give the transition matrix. Forty-five percent of last year’s graduating class contributed this year. What percent will contribute next year? What percent will contribute in two years?

Q: $(8y + x -x)dx + (y + 7x)dy = C (Type an exact answer, using as needed.)

A:

Q: m and n, mn, such that: and U(m) ~U(n). Find integers a) |U(m)| = |U(n) b) |U (m)| = |U(n) and U(m)…

A:

Q: d Given  = and B = x², and for dx arbitrary f(x) II. Calculate for the following: (1) ÂBƒ(x) (ii)…

A:

Q: Quiz 1 1.maclaurin series cos hx

A: Given function is f(x) = cosh(x)

Q: Let x, y, A, u E Z. Prove that if 1 = Ax + µy then r, y are relatively prime.

A:

Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

A:

Q: Find the area of the region enclosed by the inner loop of the limaçon r = 3+6 cos 0. [Hint: r < 0…

A:

Q: 1. Suppose that f(x, y, z) is a smooth function. (a) Show that where the Laplacian (b) Show that…

A:

Q: 1) Determine the mean and standard deviation for X and Y 2) Prepare a scatter diagram of the data 3)…

A:

Q: e Stokes' Theorem to evaluate o F dr. F(x, y, z) = z²i + 26xj – y°k ere C is the circle x? + y = 1…

A: Line integral of the vector point function

Q: Write f (x) as a power series and give the interval of convergence 6 f(x) = 1+ 7x+

A: Power series expansion and interval of convergence

Q: Let V be a finite dimensional inner product space and T a non negative operator on V. Then T has a…

A:

Q: U sing induction ,prove that : can+1)! for n>o (1) (3)(5)... (an+1) = a" n!

A:

Q: 12. Given: F 12 . âp, determine F•â„. 2 r ||

A:

Q: What is the summation from n = 1 to infinity, of  (3n+1) / (5n + 4) ?

A:

Q: Clairaut's Theorem Let DCR be a disk containing the origin and assume that g : D R is a function…

A:

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F =…

A:

Q: ||| Homework: Find the equation of the line that goes through (-5,12) and is parallel to y=8. Write…

A:

Q: Use a proof by induction to prove the following: Let ao = 0, a₁ = 1, and a₁ = (ak-1 + ak-2 + 2) for…

A: We have to prove that 0&lt;ak≤1 for all k using the proof by induction.

Q: Suppose that F(x,y,z) = 0 defines z as a function of a and and Fis differentiable. Prove that dx dy…

A:

Q: A patient needs 1mg of a medication. The Australian Injectables Drug Handbook states that each gram…

A:

Q: B. Find the area of the region bounded by the following: 12²/1/20 16. r=8sin

A:

Q: Obtain the Laurent series with center zo = 1 for Determine a) The singularity/ies of the function b)…

A:

Q: 13 Which restrictions apply to the variable in I. x > 0 II. x 2 o II. x 0 IV.x e R V. ye R

A:

Q: B. Find the area of the region bounded by the following: r=8sin in ²0 2 16.

A:

Q: Let x, y, A, µ E Z. Prove that if 1 = Ax + µy then x, y are relatively prime. a (a) Find a prime…

A:

Q: (-1)" 14. For the series Ln=1 3n0.3+8 calculate the sum of the first 4 terms, S4 . S4 = Include 4…

A: Bound for the error of an alternating series

Q: Suppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. Prove that…

A: The total differential of the differentiable function: fx,y,z can be written as:…

Q: 4-2. (a). What is the coefficient of x7 in (1–x)9 (b).What is the coefficient of x in (1–x)-9

A: We have to find the x^7 coefficient.

Q: 3. If x and y are two n-vectors, then prove that 1 (a) |x*y|< ]], \»l, - +=1 (Holder inequality) 1…

A: Given that x and y are two n-vectors. We have to prove the following :                          (a)…

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7) 21

A:

Q: Find the Fourier series for the given function. 9 f(x): = 200 Σ πm=12m-1 2 9 f(x) = 9 - 1¹ 2₁ πm=IM-…

A: Given function is f(x)=9, -L≤x&lt;00,     0≤x&lt;0 with period 2L Let the Fourier series be…

Q: onsider the functionf:R→Zgiven by the floor formulaf(x) =⌊x⌋.(a) (7 points) Isfinjective? Explain…

A:

Q: Consider the following basis functions: (sin(x), log(x), 11. Using Least Squares on given data set…

A:

Q: Solve the IVP y + 2y = 0 if t≥ 1 y(0) 1. Is the solution continuous? = "

A:

Q: K H L Consider the graph given above. Give an Euler trail through the graph by listing the vertices…

A: Euler trail If there exists a trail in the connected graph that contains all the edges of the graph,…

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

A:

Q: completely true. (3. Show a segment that would measure 6 cm to the nearest centimeter but 6.5 cm to…

A: Any segment of length between 6.25 cm and 6.50 cm would measure 6 cm to the nearest centimeters but…

Q: Suppose that µ is the measure defined in item 3. What is µ(O) where O is the set of natural odd…

A:

Q: Use a graphing calculator to determine the linear, quadratic, or exponential equation that best…

A:

Q: Solve a congruence equation and give all the solutions: 3(x – 2) + 4x = 5x +8 (mod 31)

A:

Q: Calculate ri(t) r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly and then…

A: Given that ddtr1(t)×r2(t)=r1(t)×dr2dt+dr1dt×r2(t) Where                r1(t)=cos(t)i+sin(t)j+2tk,…

Q: 10. Using the graph below of the function f(x), identify the approximate interval(s) where the first…

A:

Q: The table below shows the enrollments for the four division of a college. There are 50 new overhead…

A:

Q: 4-2. (a). What is the coefficient of x’ in (1–x)º (b).What is the coefficient of x7 in (1–x)-9 i AL…

A:

Q: B. Find the area of the region bounded by the following: 18. common to /* = 3 cos 0 and r=1+cos

A:

Q: Q13. A department in a small firm has 50 members. The distribution of the number of coffee breaks of…

A:

Q: Problem 2A To prevent the rover's hemispherical drill head from freezing, your team is asked to…

A:

Q: From the list below find the only differential equation that has both functions ₁(t) = e²t and y2…

A: Given solutions of differential equation are y1(t) = e2t ,   y2(t) = -2e2t