Calculate the number of combinations, given n = 12 and r = 4.  210  330  495  1,680

Q: Theta). Find witnesses to show that f(x) = 3x² + 2x + 1 is 0(x2); (note this is Big

A: Here's how we can find witnesses to disprove f(x) = 0(x²):Constant Ratio Test: For f(x) to be Θ(x²),…

Q: b) Let f [-T, π] → R be the function defined by N=∞ f (2) = Σ sin(nx) sin(x) sin(2x) sin(3x) + +…

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Q: Given that and y is the curve in the image -4 -3 6- 5 4- 3. 2- -1 -2- 2 3 4 5 ez e2 (1 i) 2/11/2010…

A: Step 1: Step 2: Step 3: Step 4:

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A: Let's break down the explanation step by step: 1. Linear Transformation T:We are given a linear…

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A: Step 1: Step 2: Step 3: Step 4:

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Q: Let 1 --679 M = 4 0 2 Find formulas for the entries of M", where n is a positive integer. (Your…

A: Step 1: Step 2: Step 3: Step 4:

Q: I need help with part and b please. Question and historical data is attached

A: Approach to solving the question:Detailed explanation:Examples: Key references:

Q: 7. Show that Σ=0(−1)*(^)=0, and then verify that 6 + 4 + 6 +-- ☹+C++-- 5 (3)

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Q: Derive the Laplace transform of e* sin(bt)u(t).

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Q: (d) Apple Ltd makes and sells a single product, for which variable costs are follows: Direct…

A: STEP 1: Determine the Contribution Margin Ratio CM ratio = (sales price - total variable cost per…

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A: The null space of T is the collection of all polynomials p(x) in the domain of T such that T(p(x)) =…

Q: Earnings and Height Earnings Height Sex 84114.75 59 0 83996.75 59 0 7882.8540039063 59 0 84099.75 59…

A: Key references: Ahmed, I. E., Mehdi, R., & Mohamed, E. A. (2023). The role of artificial…

Q: Find the

A: Step 1: Step 2: Step 3: Step 4:

Q: 1. Let dЄ Z\{0,1} be square-free. Recall that Z[√] = {s+tv +t√d|s, t€ Z} with addition and…

A: The objective of this question is to prove several properties of the norm function N and the…

Q: 7. The set of ordered pairs (1, 19), (2, 23), (3, 23), (4, 29), (5, 31) represents the number of…

A: a. Arrow Diagram:

Q: need help

A: Understanding the efficacy of different drugs in relieving headache pain is crucial for medical…

Q: 2. Solve the IVP. y" +y= g(t) y(0) = 0, y'(0) = 1 t 0≤t<1 g(t) = 1 t≥ 1 3. 4. Write the general…

A: 2. Solving the IVP:y" + y = g(t)where g(t) = 1 for t &gt; 1 and g(t) = 0 for 0 ≤ t ≤ 1y(0) = 0,…

Q: Let C is the line segment from (0,0) to (2, 1). Then foydx + xdy is 2 1 0 None of the above.

A: To evaluate the line integral ∫C ydx + xdy along the line segment C from (0, 0) to (2, 1), we need…

Q: A3 Use separation of variables to find the solution to the boundary value problem Uxx + Uyy = 0,…

A: If you have any queries, please comment.

Q: Describe the differences in converting between linear units compared to area. 

A: Step 1: Step 2: Step 3: Step 4:

Q: Answer question # 5. Your cousin says the perimeter of the figure is 40 square units. Is your cousin…

A: Perimeter refers to the outer distance or boundary of a figure .Thus, perimeter is a measure of…

Q: Please help me w this thanks, full detailed steps for more understanding of the question

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: need help

A: A)  P(W1) = 4/12 = 33.3%  P(W2|W1) = 3/11 { 1st draw a women is chosen, hence 3 women left to be…

Q: B. Solve the following system of equations using Gauss-seidel method w+x+y+z = 3 2w-x+3y=3 2x + 32 =…

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Q: Some of the eigenvalues of the given matrix are complex. Find all eigenvalues and eigenvectors. 12…

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

Q: A company reports the following income statement and balance sheet information for the current year:…

A: Given information, Net income = $114,590Interest expense = $9,963Average total assets = $1,859,000…

Q: For this answer I got C(25,6)=177100 is this right? I'm basing it off of needing 20 symbols | and 6…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the general solution of the ODE on (0,∞). x²y"-xy' + y = 2x

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Q: Explain and Proof Eulen Totient Theorem dit's relationship to Fermat's Little Theorem.

A: Euler's Totient TheoremEuler's Totient Theorem provides a formula to compute the remainder when an…

Q: An investment earns 4% per year and is worth $10,000 after 7 years. PV =

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Q: 1. Solve the ODE. (e2y-ycos(xy))dx + (2xe²y - x cos(xy) +2y)dy = 0 2. Solve the IVP. y" + y = g(t)…

A: The image asks us to solve the differential equation: (x2+1)y′′+xy′−y=0by finding two power series…

Q: 7.33. Let X be a Markov chain on states {1,2,3,4,5} with transition probability matrix P = 0 0 0…

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Q: please have a handwritten solution and explain the step by step process of your answer

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A: Determine the 3-week moving average for the required weeks using the formula wk​=3wk−3​+wk−2​+wk−1​​…

Q: I need help with the attached question please. Please make sure to round to two decimal places as…

A: Sure, I can help you with that. The question asks you to fit a simple linear regression model to the…

Q: Can you help me with my topologie class

A: Connected: A space is connected if it cannot be divided into two disjoint, nonempty open sets.Path…

Q: I’m doing first order ODE questions using lie symmetries. This is a made up question:  Dy/dx = x +…

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Q: The equation E x 1 -t²/2 dt = 0.45 /2π can be solved for x by using Newton's method with and x 1…

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Q: Principal $7,500 Rate: 10%  number of times Compounded per year: Semiannually  Effective Rate (APY):…

A: APY = (1 + r/n)^n - 1Where:r is the annual interest rate (in decimal form)n is the number of…

Q: Part I: Probability For each of the following problems, you should write your answer as an…

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Q: In each of the following equations, p(t) and g(t) may not always be continuous for all t. Instead,…

A: For the ODE y′+p(t)y=g(t)y(t0​)=y0​ Then if p(t) and g(t) are both continuous on an interval…

Q: Write out a multiplication table for S3

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Q: The following information was taken from Slater Company's balance sheet: Fixed assets (net)…

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Q: Let 7 -4 1 M=4 7 9 0 0 2 Find formulas for the entries of M", where n is a positive integer. (Your…

A: To find the formulas for the entries of M^n, where n is a positive integer, for the matrix M shown…

Q: Please show the guess is correct by induction... if guess isn't right propose and prove right one.

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Q: Find the solution to the given system that satisfies the given initial condition. 30 -3 x(t) 09 0…

A: Step 1:To solve these systematic of linear differential equation using the matrix exponential,we…

Q: Σeksin (2-k)

A: The given equation is as follows:∑eksin(2−k) There is no unique solution to the given problem…

Q: PRACTICE HOMEWORK

A: The image shows that Professor E.Z. Stuff finds the least squares estimator too cumbersome and…