Discrete math some students are playing a game of musical chairs. prove that if n+1 students attempt to sit in n chairs, then some chair has 2 occupants. Preferably, please prove either by direct proof, contradiction, contraposition, by cases, induction, or strong induction.

Q: Which of the following relations is a function? { (3, 7), (3, 6), (5, 3) } O { (0, 4), (5, 6), (5, 8...

A: We know that all the functions are relation but all the relations are not function. We know each inp...

Q: Find f(1), f(2). f (3), f(4), and f(5) if f (n) is defined recursively by f (0) = 3 and for n = 0, 1...

A: find the value of f1 , f2 , f3 , f4  and f5 if fn is defined recursively by f0=3 a) fn+1=-2fn b) fn+...

Q: 3. Evaluate integral by using a basic substitution: S x² sin xdx

A: Given: ∫x2sinxdx To evaluate: The given integral.

Q: (d) Let 0 arg(z). Take C to be the wavy contour in the z-plane described by 0 < arg(z) < T; |2| =1- ...

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Q: The newly crowned Miss Universe Beatriz Luigi Gomez plans to buy fruits. A mango costs ₱20 each whil...

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Q: Magnolia works at Kroger for $9.40 per hour and worked 222hours last week. What was her weekly strai...

A: Given Magnolia works at Kroger for $9.40 per hour and worked  2234 hours.

Q: Method 1: Substitution Example: У 3 Зх — 10 y = 2x - 5 Steps to solving a system by substitution: 1....

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Q: Find the period of the linear congruential generator defined by (a) a = 2, b = 0, m = 5 (b) a = 4, b...

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Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

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Q: ost and that  (e^it − e^−it)/2i = sin t

A: In this question, the concept of the Euler Formula is applied. Euler Formula eiθ=cosθ+isinθ    

Q: The Ran Civilization, based on history books, started in 753 BCE and it ended in 476 AD. How long di...

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Q: Evaluate: 2- (8- j5) + 40 - j20 – 0

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Q: The intersection of the two planes given by the vector equations -()- r. 1 = 2 1 and r. = 3 2 is O a...

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Q: (v(z))ª + 2y (x) e² + (y (x) + e²) y' (x) = 0. %3D 2

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Q: 1. Create your own function f(x) of the form F (x) = f (x)·g (x). In other words, F(x) is a product ...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Find all the values of z: (hìnt: use tvalues of the discrirninant) 28 + 423 +8 = 0 O -1.366-j0.366ó ...

A: We have,z6+4z3+8=0Let u=z3, u2=z6∴u2+4u+8=0u=-4±44-4(1)(8)2(1)u=-4±-162u=-2+2j, -2-2j

Q: Evaluate: sin-l z = - cos™(-3+j5) O -5.074-j2.957 -5.074-j2.957 D-5.074+j2.957 5.074+j2.957

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Q: John Joe Jean Jane Jenny Kenny Bil Ben Fig. 1.17 1.4 Draw a graph corresponding to the family tree i...

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Q: 3. f (t) = 2t – Si sin(t – 7)f (7) dr - - 4. f (t) = e' – S elt-r) f (7) dr

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Q: The members of Math Club are to choose a representative among four candidates, M, A, T, H. The follo...

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Q: For a birthday party, Elianah decided to buy hotdogs and barbecue. A hotdog costs P20 each while a b...

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Q: Determine an equation for the pictured graph. Write your answer in factored form and assume the lead...

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Q: 7) Using Leibniz notation, apply the chain rule to determine given that: dx 1 Y = из and u = x2 + 2x

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Q: The members of Math Club are to choose a representative among four candidates, M, A, T, H. The follo...

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Q: est in English. If the passing percentage is 75%, and there are 50 questions worth 1 point each, wha...

A: Given, Anthony will be taking a 50-point test in English. If the passing percentage is 75%, and ther...

Q: For items 1-10, consider the following: The members of Math Club are to choos among four candidates,...

A: # we are entitled to solve three subparts at a time please resubmit the other parts if you wish to g...

Q: Theorem 4.3. Let F: U V be a linear map, and assume that this map has an inverse mapping G : V U. Th...

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Q: 36. Let the universal set U = {r |x is a non-negative integer}. Let A = {r EU|x is divisible by 6}, ...

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...

Q: The function Ax) = -2x(x - 1)(x - 2)(x+ 2) %3D has 4 zeros. has a maximum O as x→-∞, y–-∞ all of the...

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Q: Two tanks T and T' are each partially filled with 400 gallons of water. Initially, 250 pounds of sal...

A: The concentration of salt in tank T is: 250400=0.625 pounds per gallon The concentration of salt in ...

Q: A recursive way to define the set E C Z of even numbers is: • Base case: 0 E E • Constructor cases: ...

A: Brief explanation is given below.

Q: A small theater had 3 rows of 24 chairs each. An extra 7 chairs have just been brought in. How many....

A: We have to find the total number of chairs in the theatre.

Q: Create your own examples. Formulate one given 3x3 equation (3 equations and 3 unknowns). Solve each ...

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Q: 1 3. I. If 3+4 = 243, then r= II. If 2"-b = 1024, then r -2.

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Q: na class of 80 students, sixty percent use neither an iPhone nor an iPad. Twenty percent use an Phon...

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Q: nine if the following argument is valid or invalid. Sta acy used to support your answer. I will atte...

A: In this question, the concept of the validity of the argument is applied. Validity of Argument Every...

Q: n What is the efficacy class of +- ? C: O (n) (4). A: O(1) B: O (log n) D: O (n log n) E: © (n')

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Q: TRUE (c) The union of two sets, A and B, is the set of all elements in A and B. FALSE

A: We have to say whether it is true or not " The union of two sets A and B is the set of all elements ...

Q: 2) In your own words, explain when you need to use the chain rule. Demonstrate with an example.

A: The chain rule is used to find the derivative of the composition of two functions .

Q: Find a basis of the given subspace by deleting linearly dependent vectors. 5

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Q: 8. Let U = (-00, ), A = [-1,6], B = [-6, 2). In interval notation, determine An B. 9. Let U = (-0, 0...

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Q: The members of Math Club are to choose a representative among four candidates, M, A, T, H. The follo...

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Q: Show by induction that 4 divides 2m^2 +6m for an integer m>0

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Q: as instructed, to find a second solution y,(x).

A: Given, the differential equation                x2y''-5xy'+9y=0;        y1=x3     

Q: 1. Evaluate the line integral -ds y+z where C is the curve r= y², y + z = 4 from (4. 2, 2) to (0,0, ...

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Q: Approximate the following functions using Taylor series. Solve the absolute and relative error in ea...

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Q: solution of SO

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Q: Csc 0 10. I. = CSc 0 tan 0 – cot 0 sec 0 + csc 0 I. sec 0 - csc 0 1

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Q: 1. Calculation of derivatives: Show that cos' z = – sin z, sin' z = cos z by using definitions (a) o...

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