How would you write a formal proof for if AnB = B then B is a subset of A?

Q: Find the general solution of the differential equation dy dx where 2x + 4y + 70. ARVO x+2y-5 2x + 4y…

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Q: d² y dx² 2 −9y=x, y(0) = 0, y'(0) = 5

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Q: Consider the following LP problem max z = x₁ + 2x2 I s. t. −₁+3x₂ ≤ 6 3x₁ + 2x₂ ≤ 15 x1, x2 > 0

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Q: VI Prove by induction that 7|(34n+1 -52n-1) for all positive integers.

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Q: Let S = {[0, 1, −1, 2]T, [1, 2, 3, 0]T} ℃ R4 (a) Is S linearly independent? (b) If S is linearly…

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Q: Which of these is a valid expression in index notation for a differential operator? (Α) B D 0,F₁ i i…

A: Following are expression in index notation:To Find:The valid expression in index notation that…

Q: 9. A farmer has 1000 acres of land available for planting corn and wheat. It costs $30 to plant an…

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Q: -2 -1 27 24 21 18 15 12 9 6 3 3 4 5 The function graphed above has a negative inflection point x =…

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Q: Determine the determinant of the 3 x 3 matrix shown below A = 8 -4 2 2 6 -4 12 -8 2

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Q: A motorboat can maintain a constant speed of 11 miles per hour relative to the water. The boat makes…

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Q: Consider this system of equations: x1x2x3 = -10 2x1 + 3x2 + 5x3 = 46 x12x2 + 3x3 = 20 A. Write the…

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Q: find the indicated quantities for the function y = f(x)= 3x². The change in y if x changes from 2 to…

A: We have y=f(x)=3x2we will find the change in y if x changes from 2 to 5.

Q: Find the limit of the sequence {√5. √9+√5. √3+ √5+ √5, √/3+ √/3— √9+√5, √3+√3+√3+ √9+√5. √√3+√√3,…

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Q: Let V be the set of functions f: R → R. For any two functions f, g in V, define the sum f + g to be…

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Q: In each part, solve the equation by the quadratic formula and check your results by substituting -…

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Q: 3. Does the domain change under the following transformation of y = log x? Vertical stretch by 3,…

A: The given parent function .The aim is to find the change in the domain under the transformation's…

Q: 80. Find the volume common to two circular cylinders, each with radius r, if the axes of the…

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Q: For each of the following, place a decimal point in the sentence reasonable: a. A stack of 10 dimes…

A: To make each sentence reasonable, we need to add decimal points in the numbers.(a) A stack of 10…

Q: The equation x^4 + x^2 + 1 = 0 has no real solutions

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Q: (a) How many points of intersection are there for these paths? Number of intersection points= (b)…

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Q: False/True: If A,B are invertible n x n matrices, then so is A+B. True False

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Q: 3n+1 n→∞⁰ 7n-3 lim, 3 7 1 lim→∞ ((−1)" + −) does not exist. n

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Q: 7 -1 3 2 7 Nt a The function graphed above has an inflection point x =

A: Inflection points are points where the function changes concavity, i.e. from being "concave up" to…

Q: Hello, can you help me solve problem? Thank you! Give a counterexmple: 1. Every convergent sequence…

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Q: Let X be a set with exactly n elements, where n ≥ 2, and consider the group P(X) with the symmetric…

A: The question you provided is related to concepts from abstract algebra and set theory. Here are the…

Q: write the Heron's formule for the triangle. aree of a

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Q: The Fundamental Theorem of Arithmetic states that if n 1 is an integer then e1e2 n = = P₁¹p²/² ek…

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Q: The Texas Consolidated Electronics Company is contemplating a research and development program…

A: Given Information:There are eight research projects (labeled 1 through 8).There are  management…

Q: If A = = A-1 = X = 1 -4 -4 -27 1 -9 -5 then 1 0 2 15 -30 Given B = -64 solve AX = B. 13 3

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Q: Find a basis for the vector space of all quadratic polynomials p(x) = ax²+bx+c, that satisfy p(−1) =…

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Q: A chewy fruit bar recipe calls for 10 and 1/2 cups of brown sugar and 7 and 5/7 cups of granulated…

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Q: How many different solutions does the following equation have? 2x 1 3x 4 - - 2x + 7 3x + 2

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Q: How does SN (1-r) = 1-√²+1 What are the operational rules of subscripts?

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Q: Solve for the variable using a method of your choice. An equation editor is not required for…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Describe geometrically what I does to each vector in the plane. T(x) = [60] 03 x Submit Question

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Q: Homework: Find the Fourier transform of the signal given below y(t) = Y(w) = ? -12 2 0 >t

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Q: (a) Sketch the graph of the given function. 3, = {³+ f(t) s f(t) = 3 2 f(t) 0 2 (b) Express f(t) in…

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Q: Evaluate the integral [ 3e 3e-0.3t dt

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Q: Consider this system of equations: X1 - X2 X3 1 x1 - x2 + x3 = 5 -x1 + x₂ + x3 = -6 A. Write the…

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Q: Why important? are Euclid's Elements SOA

A: We have to write Why are Euclid's Elements So Important?

Q: Analysis. Please use the epsilon method.

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Q: 1. IfT: R² R³ is a linear transformation such that T(e₁) = (1,-1,3) and T(e₂) = (5,-2,7) where e₁ =…

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Q: 1) Determine if the vector b can be written as a linear combination of the vectors a₁, az, and al 1…

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Q: Evaluate the integral сos(π/x+) x5 dx

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Q: (a) Show that if a graph has an Euler tour, then the degree of each of its vertices is even. In the…

A: To prove the theorem that a connected graph has an Euler tour if and only if every vertex has even…

Q: Exercise 8.11.2 I know a certain real 2 x 2-matrix A. My matrix has complex eigenvalue λ = 1+2i and…

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Q: Find 9+11+13++601. 90585 90585

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Q: B. Use elementary row operations to write the augmented coefficient matrix in reduced row echelon…

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Q: The owner of Kat Motel wants to develop a time standard for the task of cleaning a cat cage. In a…

A: The concept involved in this calculation is known as "standard time" in the context of time and…

Q: 3. Assume that f is uniformly continuous on a bounded set S, prove that f(S) is bounded. (hint: thm…

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