Twenty students like both the first (Set A) and second (Set B) techniques in solving a mathematical problem while 20% of the total students like only the second method. There are 126 students who like the first technique which comprised the 60% of the total students. Find AU B. O 168 O 42 O 148 O 62 O 190 O 210

Q: Let A and (A, n2 1) be subsets of 2 An - A as n → 00 =P(A,) P(A). as n 0o,

A: The given question is related with probability. Given that A and An , n≥1 are subsets of Ω . We have...

Q: 2. Calculate the Fourier series for the square 2n-periodic wave defined on the interval [-n,n]. Plot...

A: Fourier series for a function f(x) over -π,π f(x)=a02+∑n=1∞an cos(nx) +∑n=1∞ bn sin(nx)  Where  a0=1...

Q: Consider the force field F(x, y, 2) i+ x² cos z + j+ -k (a) Use Gauss' theorem to find the flux acro...

A:

Q: 6. Assume a Rayleigh-fading environment in which the sensitivity level of an RX is given by a signal...

A: Rayleigh fading is a statistical model for the effect of a propagation environment on a radio signal...

Q: Miscellaneous Operation on Complex Numbers 1.42+

A: 1. Given,          42+i

Q: Task 24 Proof the Poincaré-inequality in the n-dimensional case. Task 25 Proof Remark 6.12.

A: According to bartleby guidelines I need to solve one question please excuse 

Q: Let G = A4, the alternating group of degree 4. (a) How many elements of order 3 does G have? (b) Doe...

A:

Q: 21. Using the projection theorem, solve the finite-dimensional problem: minimize x'Qx subject to Ax ...

A:

Q: Metlock sells a snowboard, EZslide, that is popular with snowboard enthusiasts. Below is information...

A:

Q: Theorem 2 Assume that yy > dz, then the equilibrium point of Eq. (1) is a global attractor if 8(a – ...

A:

Q: 4x3-5x-3 2x

A:

Q: 12 In the diagram below, the line PQ is parallel to the line RBCS. 28 Diagram not drawn to scale 50 ...

A:

Q: Given r(t) = (sin t – t cos t)i + (cos t + t sin t)j + tk , find the unit binormal vector and torsio...

A:

Q: One of our earlier topics was the eigenvalue problem for systems of linear algebraic equations. We n...

A: I have solved your question by spending more time please do upvote thankyou In general, the action o...

Q: 2. Recall that for two sets A, B, the Cartesian product of A and B is the set A × B = {(a, b) : a E ...

A:

Q: 2. Recall that for two sets A, B, the Cartesian product of A and B is the set Ax B = {(a, b) : a € A...

A: The answer for the above question is given below please do upvote if you like the solution thank you

Q: After 3 iterations of Newton-Raphson Method, solve for one real root of x + 2x? + 10x – 20 = 0 with ...

A:

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose t...

A: Indefinite integral

Q: Determine the four fourth roots of the complex number Z 3-4j, using De Moivre's theorem and express ...

A:

Q: $ = g(ø, v, ø) = aø + - b = g(4, 4, 4) = arb + which can be rewritten as ayoy – ado? + Bo², ayoy – a...

A: Given: ϕ=gϕ, ψ, ϕ=αϕ+βϕ2γψ-δϕ and ψ=gψ, ϕ, ψ=αψ+βψ2γϕ-δψ To show: δ1-α+βϕ2-ψ2=0

Q: Problem 14 The polynomial z - 21? + ar + b has four distinct real roots. Show that the absolute valu...

A: The polynomial with 4 distinct real roots given is as follows: x4-2x2+ax+b=0 We are asked to show th...

Q: Task 8 Let (X, || · ||x), (Y, || - ||Y) be Banach spaces. Show that (L(X,Y), | | |(x.x) is a Banach ...

A: Solution :-

Q: sing the Jordan Real Canonical Form, find the solution to the initial value problem = Ar z(0) = 10 w...

A:

Q: In the Maclaurin’s series expansion of cot(x), if x = 0.5, the sum of the first four terms is?

A:

Q: Question 7 Use three iterations of Regular Falsi Method to estimate the root of In (z') = 0.70 on th...

A:

Q: 00 Consider the vector field F and the curves pictured below. Then Jc F Se, F- dr > 0, and f F dr + ...

A: Given the vector field F→ and the curves,

Q: Determine which of the following equations are function and which are not functions. Create a table ...

A:

Q: Interpolate the value at 5th position from the following data: Independent variable : 3 5 7 8 11 Fun...

A: We have x0 = 3 y0 = 170 x1 = 7 y1 = 120 x2 = 8 y2 = 80 x3 = 11 y3 = 65

Q: Find the Inverse Laplace Transform of the given function. Show your solution completely and box your...

A: Inverse Laplace transform of the function

Q: Q3. Given that 2 -3 6 2 51 2 3-3 -3 -4 A = 4-6 3 3-4 1 (i) Calculate rank(A) and dim(Nul(A)) (ii) Fi...

A: We have to find the rank and the dimension of the null space of the matrix A. For this, we have to f...

Q: 4. R: y? = 4x,x² = 4y axis of revolution: x = 4 %3D

A: A region bounded by curves can be rotated either about the axes or any horizontal or vertical lines....

Q: Us the fact that |cA| = c" |A| to evaluate the determinant A |-10

A: Introduction: The determinant can be thought of as a function with a square matrix as its input and ...

Q: Given the complex numbers, find the roots of the ff: 1) ( -1 )^1/4 2) ( -1-i )^1/3 3) ( -i )^1/3

A:

Q: 10 Line L 2. 10 12 Use the figure above to answer the following questions. (a) Translate triangle A ...

A: (a) x-coordinate of each vertex is added by 8 and y-coordinate is subtracted by -2. b) c)

Q: the simplex method to solve the linear programming problem. Maximize z=5x1 + 6x2 subject to x,-5x2 $...

A: Introduction: The Simplex Method's main idea is to go from dictionary to dictionary by exchanging a ...

Q: If you buy a computer directly from the manufacturer for $3,324 and agree to repay it in 60 equal in...

A:

Q: Question 5 What best describes S = {-9, -7, -5, -3, -1, 0, 1, 3, 5, 7, 9}? O Set of integers O Compl...

A:

Q: [(5+j3)( 10430°)] 6e^(j12)

A: Given: 5+j310∠30°6ej12 To do: Simplify the given complex number to the standard form.

Q: Find the standard matrx den ha statid competiten R2. Aenaflection about the line y= Collewed by neth...

A:

Q: If Leila receives her allowances on Saturday, she will go out to have dinner with her friends. Leila...

A:

Q: What is the largest n for which one can solve within 3 minutes a problem using an algorithm that r...

A: According to the given information 10−12fn≤3 minute Since, 3 minute=3×60 minute=180 second Hence, 10...

Q: Given a universal set containing integers between 0 and 21. Set A contains odd numbers while set B c...

A:

Q: 9 2/5 as an improper fraction

A: Given,            925

Q: Perform the indicated operation: (5+2i) - (3-6i)

A: Introduction: Simply add or subtract the corresponding real and imaginary parts of two complex numbe...

Q: Obtain the first derivative of the function f (x) = sinx/x using Richardson's extrapolation with h =...

A: Given  f(x) = sinxx we have to obtained the first derivative of f(x) by using  Richardson's extrapol...

Q: 7 3 4 .2

A:

Q: Evaluate the integral f 2x (x² + 6)° dx using the substitution u = x2 + 6. | 20(x² + 6)* dzx +C

A: In this question, the concept of Integration is applied. Integration Integration is a method of brin...

Q: (a) Let G be a non-cyclic group of order 121. How many subgroups does G have? Why? (b) Can you gener...

A:

Q: Find the dominant vertices

A: Given: A graph To find: The dominant vertices.

Q: 1 In the Dakota problem, show that the current basis remains optimal if c3, the price of chairs, sat...

A: