The following data represents the age of 30 lottery winners. 37| 37 48| 48 20 31 31 34 39 41 42 45 50 52 52 53 58 59 59 65 66 71 71 72 74 76 79 79 79 88 Complete the frequency distribution for the data.

Q: Find the solution. Auxiliary equation and general solution y'= 1 + 3ytanx

A: First order linear differential equation.

Q: Let a(n) count the maximal number of edges for an order graph with no four-cycles. Find the first…

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Q: 2. If A1(t) and A2(t) are continuous in (a, b), and ¤(t) is a fundamental matrix of dX dX the…

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Q: 3. Let W be defined as x + 4y + 5z 2x – y + z Зх + 3у + 62 6х + 6у + 122, W = |x, y, z E R (i) Show…

A: Using extension theorem to get a basis of vector space. Here the complement may or may not be…

Q: Use the inner product (u, v) = 201v1 +uzvz in R2 and the Gram-Schmidt orthonormalization process to…

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Q: Solve by the elimination method. 2x-5y = 30 3x+ 2y = 7 %3D

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Q: Homework Plot the signal x(t) - 3cos(3 n t+ n/4) in four periods

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Q: 6. Determine whether each of the following functions is one-to-one, onto, neither or both. (a) f :…

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Q: A 6 6. 6.

A: We have to find the diagonal matrix if possible.

Q: 1. Anentrepreneurintends to sell his product for 8.4$ each. The daily cost or expenses can be…

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Q: Consider the system x' = -1 -1 X. - a Solve the system for a = 1.1. What are the eigenvalues of the…

A: For the solution of the problem follow the next steps.

Q: Q)find the inverse Laplace transform p + 1 1) L-' (p² – 1)² 1 2) L-1 \p(p² – 1)3) 1 L-1 (p² + 1)²/

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Q: If the series y(x) = > C, a" is a solution of the differential equation 2y" – 6x°y' + ly = 0, then…

A: Given that The differential equation 2y" - 6xz²y + 1y = 0 We have to Calculate A₂ = a3 = a4 = b₂ b3…

Q: (a) The nth term of a sequence is Un. The sequen

A: Introduction: 1: the sequence in which things are or should be linked, related, or dated Follow the…

Q: Transform the given differential equation or system into an equivalent system of first order…

A: For the solution of the problem follow the next step.

Q: U he sinylexe meliad to slue the pro subjeet to てx+メ 2 x, + X2 < 12 Xi + Sx2< 12 XI,X2 ZO

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Q: In Exercises 1 and 2, use an artificial variable to solve and check your solution. 1. Objective…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R" into an…

A:

Q: Determine if valid or invalid. Using Rules of Inference. 25. If I don’t tie my shoes, then I trip.…

A: Given: A statement " If I don’t tie my shoes, then I trip. I didn’t tie my shoes. Hence, I tripped."…

Q: 5 yd 13 yd 13 yd (5yd Find the surface area of the figure on the right. 13 yd 37 yd 29 yd The…

A: Surface area of the given figure is 4106 yd²

Q: You are wallpapering two walls of a child's room. One wall measures 9 ft by 8 ft, and the other…

A:

Q: Arstange the given data in Ascend ing oodes ; 2 = 2,86 86, 89, 87, 88, 90, 94, 9S, 97 . Heee, n = jo…

A: Given data is x=2, 86, 86, 87, 87, 88, 90, 94, 95, 97 We have to find the median of the given data.…

Q: 2.~rw 4. (CAh)→-1 - (CAh) 6. ~j→-(sv~ p) - (sv p)

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Q: 4. Use the composite trapezoidal and Simpson's rule, each with step length h = 0.2, to estimate…

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Q: 3. For the figure below use the Theorem of Pappus to determine: a) the volume of the figure, and b)…

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Q: Y'+ 4y' + 4y = te² %3D

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Q: A bar of soap uses 20g of honey and a bottle of hand cream uses 30g of honey. The group only has…

A: Let x be the number of soaps and y be the number of hand cream bottles. The constraint for honey…

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: Let R denote a rectangular metal plate given by the region [2, 10] × [2, 6] in the y-plane, with…

A:

Q: 21. A die is rolled. What is the probability of getting a. an even number or a 3? b. an odd number…

A: When a dice is rolled , we have sample space { 1,2,3,4,5,6}

Q: Question 2 | Consider the following Initial Value Problem -у - у %3D2ух — 1, у(4) 3D 2. a) - Use…

A: Euler's formula for initial value problems is yn = yn-1+hfxn-1, yn-1

Q: Find the values of w, x, y and z in fraction form using Gauss Elimination or Gauss-lordan…

A: Given system is  12w -5x + 9z - 2y = 5   15x + 4z + 2y = 3   15z-6w-8x+10y = 10   w + 5x + 2z = 1.…

Q: 2. Use the composite trapezoidal rule with the step length h = 0.1 to evaluate dx I = 1+x2 and…

A: Composite trapezoidal and composite Simpsons 1/3rd rule

Q: The equivalence relation a = y(mod4) is defined on the set Z of integers. Determine the quotient…

A: The solution is below.

Q: Show that if A and B are sets |A| = |B|, then |P(A)| = |P(B)|

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Q: Find the value of z for the probability statement: P (-z <Z<z) = 0.7887 %3D 1.25

A: Solution

Q: Given the function f(1) = 12e" Use the Laplace Transform table to convert this function into f(t)

A: We have to find the Laplace transform for the given function.

Q: An RLC circuit is modeled using the differential equation below with initial value i(n) = 20 t?i' +…

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Q: In Problems 15-28 find the general solution of the given higher-order differential equation. d³x 20.…

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Q: Find the equation c ertex (-4, 0) and fo

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Determine if the sets of vectors are linearly independent or dependent. Justify your answer. You may…

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Q: Use the sinking fund formula shown to the right to determine the monthly payment needed to…

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Q: The Sea Wharf Restaurant would le to determine the best way to allocate a monthly advertising budget…

A: The Objective of the LPP is to maximize the value of total Audience exposure by allocating proper…

Q: 2² + 2 Determine a simpler function g(x) such that y = x +2 asymptotic to y = g(z) as a → +00 or x →…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts…

Q: Question 4. Show that a 2" x 2" × 2" box with one 1 × 1 × 1 cube missing can be completely filled by…

A: To show: A 2n×2n×2n box with one 1×1×1 cube missing can be completely filled by 2×2×2 cubes with one…

Q: fn(x) = { n2x for  0<=x<= 1/n, -n2x + 2n for 1/n<= x<= 2/n, 0 for 2/n<= x<= 1., is uniformly…

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Q: The angular velocity vector, ω, can be obtained by adding all components of the angular velocities…

A: Given, Angular velocity vectorω as the addition of all angular velocities. To find: To choose the…

Q: th Write an expression for the n term of the sequence. 2,3 4 5 18) 3'4'5'6

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Q: Use the Cayley - Hamilton theorem to calculate 3 -2 -1 A-1 and A4 if A = 3 4 -2

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Q: ) Prove that the set An := {T € Sn | sign(r) = 1} has n! elements for all n > 2. Show this by…

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