Prove. Suppose that L and M are regular languages on a set A. Then L ∩ M is also regular.

Q: Consider the vectors H [0] H . If I is the line defined by the vector w₁, fi W1 = [o] W2

A: Here, in the question three vectors are given:  w1, w2, b  L is the line defined by the vector w1 We…

Q: Determine whether the following functions are refined. Show all reasoning. (a) e² (b) Re(z) (c)…

A: Since you have posted a multi subparts question according to guildlines I will solve first…

Q: = A= putting A = (-1). 5 -2 -5 1 a= 3, 5 -2 -5 1 a b C d 3 5 7 d b= 5, C= 7, d=l -2 7 1 2 12 -3 d 1…

A: We need to determine the steps to transform the matrix: 53-21 -251-2 -57-39 1114 into the matrix:…

Q: Let a, b, and c be any three nonzero complex numbers. If |z| = 1 and 'z' satisfies the equation az +…

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Q: Let T₁, T₂, be the following bounded linear operators ¹ T₁(x₁, x2. X3,) = (x₁, X₁, X₁, X₁, ...)…

A: Here, in the question, there are given the bounded linear operators l1→l∞ which are given as…

Q: Q2/ choose the correct answer. (2) By using the iterative formula Xn+1 of the equestion X³ then the…

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Q: Find the base five representation for these base ten fractions: a. 9/25 b. 23/125

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Q: for x=(xy xn) € R", define the li -ToRm by ||selle₁ = ½ |xil lacil || i=1 Rove that is actually a…

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Q: {1, 2, 3, 4, ...} is equivalent to {10, 20, 30, 40,.

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

Q: Show the complete solutions. Family of circles centered at (h, k) Ans: y [1 + (y)²]- 3y'(y")² = 0

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Q: The following arguments are valid. Give a formal deduction for each. a. Premises: A → (BC), (C →…

A: What is Natural Deduction: Natural deduction is a type of proof calculus used in logic and proof…

Q: 1. Use the tables to find the z transforms of the following d. e³n e. cos 3h www f. sin4n

A: Solution:     1. d) we know (from the table)                     z_transform [anu(n)] = 1/(1 - az-1)…

Q: If [x² - 2x + a] = 0 has no solution, then find the values of a (where [] represents the greatest…

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Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (x, sin(¹3″ )), find the slope of…

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Q: Create a radical equation with variables on both sides. Then solve the equation.  Write some…

A: Solving Radical Equations A radical equation is an equation in which a variable is under a…

Q: Express sin(5t) as a sum of two complex exponential signals. That is, find two complex numbers and y…

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Q: DEFINE REPEATED POSITIVE EIGENVALUE WITH TWO INDEPENDENT EIGENVECTORS?

A: We know that a number t is called an eigenvalue of the matrix A if it satisfies the matrix equation…

Q: Consider the integration of f(x) = 1 + e* sin(4x) over the fixed interval [0, 1]. Apply composite…

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Q: 5. 6. Compute the general form of the following anti-derivatives: r² dr (a) [ 2². (b) √x-¹ [x²³dr=…

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Q: 2. Determine (a) (b) (c) 1 0 0 if a solution to the linear system exists. If so, is it unique? 3 0 0…

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Q: Evaluate both sides for the field- rectangular parallelepiped X = 0 and 1 Y=0 and 2 and Z=0 and 3.…

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Q: Q 21 Choose the 5 when using the New tan-Raphson Me the The equestion cas (azot this is dan (ax)=x

A: The formula for the Newton Raphson method is xn+1=xn-fxnf'xn. We need to find the root of cosax=x…

Q: prove that the sum of three odd integers is odd using indirect method. show your solution and…

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Q: (a) find the following limits if exist:- limx→0 √x+9-3 X

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Q: 2) (D² +6D+91)y= 16e-3x x² +1

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Q: 1. Use the tables to find the z transforms of the following m. cos(nπ/2) n. (-2) o. -(2)

A: m). since Z[cosα n=z(z-cosα)1-2zcosα+z2 now    Z[cosnπ2] = z(z-cosπ2)1-2zcosπ2+z2=z21+z2

Q: following forms: one point. a given value of x in the function to represented in the 1. A function.…

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Q: Write the base five numbers 1234 five and 1.234five as base ten numbers.

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Q: Find the particular solution of the system Mentioned in the Attachment.

A: Given :  dx1dt=3x1+x3dx2dt=9x1-x2+2x3dx3dt=-9x1+4x2-x3      x10=0   ,   x20=0    ,   x30=17 To Find…

Q: 2. Find the general solution to y': 3. Solve y dx - x dy = 0 as an exact differential equation, i.e.…

A: As Per Bartleby Answering Guidelines  We Solve Only First One Problem Solution - 2 :   Given that…

Q: 1. Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/2)

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Q: if f(x) = x3+1 .. find the derivative of this function f'(x) A. f'(x) = 3x³+1 B. f'(x) = 2x¹ C.…

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Q: Which of the following sets of vectors are linearly independent? OA. B. -1 4 C. -4 -2 ELELEL 9 -6 2…

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Q: If [x² - 2x + a] = 0 has no solution, then find the values of a (where [] represents the greatest…

A: Sol

Q: Prove that: B(x+1; y ) + B (x,y+1)=B (X,Y) let (x+1)= X(X)

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Q: F1-11. Determine the average normal stress developed at points A, B, and C. The diameter of each…

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Q: 3) 1 Use an integrating factor to solve dy - by 25/4 = X with y(i)=-2

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Q: The solution of the system by Gramer's method x + 2y + 3z = 6 2x + 3y + 3z = 8 5x + 2y + 2z = 9

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Q: Find the eigenvalues and eigenvectors of 0 A = -1 3 2 2 1 0 0 1

A: The given matrix is -100320211. The objective is to calculate the eigenvalue and eigenvectors of the…

Q: 8. For the column matrix v=(v₁) we have explain then: (VA); =Vkaki

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Q: 3) If the bisection method is used to solve the equation 3x² = e* in [3.5,4] then the value of c3 is…

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Q: The measured optical rotation of polyglutamic acid as a function of wavelength (2) can be fitted by…

A: The equation of a straight line can be represented using the linear equation: y=mx+b, where m is the…

Q: 1. Use the tables to find the z transforms of the following d. e³n e. COS 3n f. sin4n

A: Note: we are solving the first three.

Q: Exercise 3. 1) Show that the discrete topology on a set X is always metriz- able. Give a metric…

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Q: Solve the Attachment?

A: What is System of Differential Equation: A set of finite differential equations is known as a system…

Q: A = 5 -2 -5 1 a b C d - 2 1 -3 1 1 -2 9 4

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Q: Find the value of 'a' for which the tangent to the curve ƒ(x) = (a + 2) x³ − 3ax² + 9ax − 1 never…

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Q: Equation: y" - 2y' + y = 0 y = 2xe* b. y = x²ex a. On the interval (-00,00)

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Q: Find theAB, if A= A. AB= B. AB= C. AB= D. AB= KA 15 -10/ 15] -4 10⁰ 15 10] 31 2. 4 -1 15 -4 10 [119]…

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Q: 7. (1) Let g(x) = sin 1. Complete the following table of values. a g(x) -0.1 -0.01 -0.001 0.001 0.01…

A: Given: 7) (I) g(x)=sinπx To complete: 1) The following table of values. x -0.1 -0.01 -0.001 0.001…