4. Sally has a balance of $2845 on her credit card. What rate of simple interest is she being charged if she must pay $26.19 interest for the 12 days her payment is late?

Q: Which of the following is the equation x² + y² = 4 in spherical coordinates? = 4 p² = 4 ○ p² sin² &…

A: The objective of the question is to convert the given equation in Cartesian coordinates (x² + y² =…

Q: 1. State whether the following are scalar or vector quantities: (a) A temperature of 50 °C (b) A…

A: (a) Temperature possesses only magnitude, as in the given case 50 deg. Celsius but does not have…

Q: Consider the initial value problem d²y dt2 dy 6. +9y=-2e +9e³t dy -4t y(0) = 8, -(0) = −5 dt dt…

A:

Q: Prove that a finite union and an arbitrary intersection of compact sets is a compact set.

A: Step 1: Step 2: Step 3: Step 4:

Q: y′′ − y′ − 6y = 0 y(0) = 11 y′(0) = 28 find laplace transform explain all steps

A:

Q: find the eigenvalues of each matrix and determine a basis for each eigenspace. -3 -12 0 0 30 -4 -8

A:

Q: need help

A: Step 1: Step 2: Step 3: Step 4:

Q: Please help me solve this prove

A:

Q: please also answer correctly.

A: 1. **Interpretation of the Sample Correlation Coefficient (r):**  - The sample correlation…

Q: Find the general solution to the differential system: ས་ 1) dt (G) (19) (G)

A: Step 1:Step 2:Step 3:

Q: iv) The region bounded by the semi-circle x = centroid (x,y). a) Explain why y = 0. b) Find the…

A: The objective of this question is to find the centroid of the region bounded by the semi-circle x =…

Q: write 49D2 fourteen in the base ten system

A: The objective of this question is to convert a number from base fourteen to base ten. The number…

Q: Calculate the asymptotes of the following functions

A: Step 1: Given                  1.f(x)=x−2∣x∣+1​We need to find the vertical and horizontal…

Q: 8. Suppose y = c1e2t+c2e+4t-3 is the general solution of a constant coefficient, second-order linear…

A: Given the general solution of second order linear DE,y=c1​e2t+c2​e−t+4t−3And initial…

Q: 4

A: xStep 1: To prove that each (ϕn​) is measurable and that (ϕn​) converges uniformly to (f) on (E), we…

Q: •Solve the following initial value problem over the interval [0,2] using Note that the analytical…

A: Step 1:Step 2:Step 3: Step 4:

Q: Let f(t) = 8t 0 ≤ t≤ 2π sin(6t) 2π 4π (a) f(t) can be written in the form 81(t) + g2(t)U(t − 2л) +…

A: Step 1: Understanding the Piecewise FunctionOur function f(t) is defined in parts depending on the…

Q: Let λ be an eigenvalue of an invertible matrix A. Show that λ-1 is an eigenvalue of A-1. [Hint:…

A: Let's suppose a nonzero vector x corresponding to eigen value  λ of a invertible matrix A.  ⇒Ax=λx…

Q: Diagonalize the matrix if possible the eigenvalues are as follow λ=3,4 4 0 2 2 3 4 0 0 3

A: Step 1:

Q: As a spring is heated, its spring "constant" decreases. Suppose the spring is heated so that the…

A: The objective of this question is to find the first four nonzero terms in a power series expansion…

Q: Question 13 Not yet answered π(y2; Given the profit function for firm 2; (32; 1) =…

A: Given:Production function for firm 2:Profit (y1,y2) = (60 - 2y1 - 3y2) y2 - 30y2 - y22   first,…

Q: Could you please help me solve this question

A: Let's denote the 1-1 function as f:A→B, where B is countable. Since B is countable, there exists an…

Q: Linear algebra and differential equations

A:

Q: For each of the following problems, you should write your answer as an expression. Do not give the…

A: 4.1 All Variables Must Be PositiveFor the equation ( v + w + x + y + z = 151 ) with all variables…

Q: Hi, can you please help me with PART B ONLY? I have already solved with the other two methods.

A: Step 1:  Step 2:

Q: Needs Complete solution with 100 % accuracy.

A:

Q: Let y(t) be the continuously differentiable solution of the initial-value problem y" (t) +9y(t) =…

A: Step 1: Step 2: Step 3: Step 4:

Q: The table below shows the number of hours studying for a math test and the test grade. Study 2 5 1 0…

A: Step 1: Create a spreadsheet for the known values of x's and y's.X represents the study hours, and Y…

Q: Using the recursive relation I(r+ 1) = rT (r) and the fact that I 2 zarents, car and te and (b) L =…

A: Thanks for your patience!kindly comment if you need any clarifications.

Q: ⑦solve the IVP Y₁ = c, const + Coinst Find y" + y = εlt-π), ylo) = 1, y'co) = 0. 3C Co

A: Step 1:Step 2:Step 3:

Q: Calculate the limits of the following progressions

A:

Q: Good Afternoon,  Kindly assist me with the following query. Regards,

A:

Q: Use the following table to answer the question. Periods 5% 6% 7% 10% 1 0.95238 0.94340 0.93458…

A: The objective of this question is to calculate the present value of a future sum of money. In this…

Q: Describe the transformations in each transformation equation. Choose the most accurate description 1…

A: compare the equation    y=4   ∫(1/2(x−1))−3     with   y=a∫(b(x−h))+k So the values come out to be…

Q: Find the inverse transformative of {s/(s^4+ 4s ^2)} without using parcial fractions

A: The objective of this question is to find the inverse Laplace transform of the function s/(s^4 +…

Q: Calculate the value of rhe following limits

A: Step 1: In order to solve these limit value at infinity, we can use the fact that degree of the…

Q: 4.2). 4.

A: Step 1:Given:Total number of workers (n) = 10Number of workers to be chosen for the group (k) = 4…

Q: A diagonalization of the matrix A is given in the form P-1AP = D. List the eigenvalues of A and…

A:

Q: Problem #6: Consider the function 90(x) = |x| on R. For n = N, define 9n(x) = |9n−1(x) — 2¹−n|.…

A: Step 1: Given, g0(x) = |x| and gn(x) = |gn-1(x) - 21-n | So, let's draw g0(x) first i.e.,…

Q: Find the particular solution of the ODE in this form: y" + 7 y = 6 e^x, with initial conditions y(0)…

A: Step 1: Find the complementary solution of the given ODE Recall that the following is the general…

Q: b) iv)

A: Step 1:

Q: (a) Find a vector equation and symmetric equations for the line through the point (0, 14, 10) and…

A: Approach to solving the question:We are given a point (0,14,10) and a direction vector d=(2,−3,9).…

Q: Communication-Tips-(Pty) Ltd-ten-pin-bowling-sports-day The-event-will-run-for-one-day. The…

A: Communication Tips Ten-Pin Bowling Sports Day: A Detailed BreakdownThis document outlines the…

Q: Find the general solution to the differential system; then find the solution with the given initial…

A: Step 1: Step 2: Step 3: Step 4:

Q: 11. How many numbers between 1 and 999 (inclusive) are divisible by either 2 or 5?

A:

Q: If x is the estimate of the fixed point at the nth iteration, then using Taylor expansion of the…

A:

Q: Find the real eigenvalues of the matrix The real eigenvalues are separated list.) 1 6 17 11 -2 -5…

A: Please comment down for any doubt. I hope my answer helps you.

Q: Prove

A: :

Q: Let F be the function from R³ to R² defined by: F((x, y, z)) = (xy, y + z²) Show that F is not a…

A: Page 1: Page 2:

Q: There are 13 different pizza toppings, and Arturo must rank his top 5 in order. How many different…

A: Step 1: