9. Let the universal set be R, the set of all real numbers, and let A = {x € R|-3

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Q: Exercise 2 - Entry with sunk costs and Cournot competition Consider two firms, 1 and 2, selling a ho...

A: The answer provided below has been developed in a clear step by step manner.

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as  

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A: I is an ideal of a ring R and S is subring of R. So if x∈I∩S ⇒x∈I and x∈S sx∈I     for some s∈S and ...

Q: Nas for Wis O {(1,5,0,0)} O ((5,1,0,0).(0.0,1.0).(0,0,0.1)} O (1.5,0,0).(0,0,0.1)} O(1.5.0,0).(0,0.1...

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Q: Find the tangent line to ƒ (x) = (2 – 4x²)° at: x = 1. %3D

A: The slope of the tangent at a point on the curve, y=f(x) is equal to the first derivative of the fun...

Q: 6. Given the universal set U ={x | x e 1, -10 sxS 10} A = {-2, -1, 0, 1, 2, 3 } B = {2, 3, 4, 5, 6, ...

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Q: Sulve the sifferential equation using Eftce Laplace transforms- y"-3y +2y=1-4X+2X Y(0)=4,y10)= 5-

A: Some of the properties of the Laplace transformation  Ltn=n!sn+1 L-11sn+1=tnn! L-11s-a=eat Ly''=s2L...

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Q: Problem 02: Using the differential operator D = , solve the following system dy 2 - 2- dt dx - 3x = ...

A: To solve the system of linear differential equation  Convert the equation into differential operato...

Q: For every number a e a e {1, 2, 3, ..., 18} which is not a primitive root (modulo 19) find the discr...

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Q: 2. Prove that L(cashkt)= ki 52-K2

A: To prove that  L(cosh(kt))=ss2-k2  

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A: The domain of the function f(x) is defined as the set of all possible values of x for which the func...

Q: 1. (p v q) → (q → q) = r 2. (p A ¬q) v q = p V q 3. -(p A q) A q = ¬p A q

A: To show logically equivalence lets draw truth table. If they have same truth values we can say they ...

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A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

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Q: Find the value of the following integral: cos2r dx,a>0 71+a

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Q: 7. The angle in evaluating the complex number in transcendental function should be expressed in degr...

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Q: Question 5 Let T be the operator on R4 whose matrix representation is -1 -2 3 0 -1 A = -2 1 -1 2 -1 ...

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Q: Find the first five terms of the sequence. ao = 3 a, = 4 an=- 4an – 1- 2an - 2 O 3, 4, 17, -46, 192 ...

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Q: Prove that C is tangent to S at (0, -1, 1), considering that C has a vector-valued function 2 i+ 4 4...

A: Here, we are given the following equation of surface S : x3+y3+z3=xyz. Let us take f(x, y, z)=x3+y3+...

Q: 2. Prove that L(cashkt)= và

A: Given question is related with the topic Laplace transform. We have to prove the result that   Lcosh...

Q: 1Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employer...

A: Answer is given below

Q: Let f be bounded on [a, b] and let P e P[a. b]. Prove that the lower sum s(P) of ƒ over P is the inf...

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Q: Payments of P 10,000 per quarter are made from June 7 through Z through December 7, Z + 11 inclusive...

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Q: Evaluate the following integrals. 1. S(x² – 2)² dx

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Q: Complete the truth Table for the given statement by filling in the required columns 1. (P→Q)→(-PVQ) ...

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Q: i 1 i 2i Given two matrices: C = 0 and D = -i 2 -i -1 0. -2i i a. Show that: det (C*) = (det C)* = d...

A: Since you have posted multipart question and we can answer three subparts. So answered first three s...

Q: Let y. for n21. (a) By considering lim In y, as limit of a certain Riemann sum, find a definite inte...

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Q: Problem 6 Using the singular value decomposition of G(jw), prove that ||G(jw)d(w)||2 Id,40 |d(w)|| m...

A: Let us verify it for different random matrices The code is here, you just have to run it multiple ti...

Q: 1. Let A = [-5 8] and B = [9 - 4]. Find A + B. A. [3 5] в. (4 4] c. [-14 12] D. [-9 17]

A: As per our guidelines we are supposed to answer only first question ( if there is no specific mentio...

Q: If f : R → R the improper Riemann integral of f may be defined as r(f) = lim a-o,h0 Tat (f) if the l...

A: Given f:ℝ→ℝ be a function. Suppose the f has an improper Riemann integral. That is rf=lima,b→∞rabf e...

Q: 8. Suppose E is a nonempty subset of R. Show E = aEUint(E) %3D

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Q: Evaluate L{e" (sinh3t + cosh5t)} . 3 s+5 А. +- (s+5) +9 (s+5)* + 25 S -5 | В. (s -5) -9 (s-5) +25 3 ...

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Q: For this question, at one point, me and my friends got 18 ( ie we multiply each outcome in each game...

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Q: Question 8 Do A and AT have the same caracteristic polynomial.

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Q: Given the following matrices 4 -12 2 B = 1 -3 A = -4 -1 -3 (a) Multiply matrices A and B, to get AB....

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Q: Triangle ABC has sides AB = 20 m, BC = 40 m, and CA = 50 m. If point D is on the. midpoint of line B...

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Q: Determine whether the given function is a solution to the given differontial equation. d'y y - sin x...

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Q: Let I and J be ideals of a ring R: (i) Show that I+J is the smallest ideal containing both I and J. ...

A: The answer is given below

Q: find the derivative of (z+j)

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Q: 1. 23.237, dp = 1 2. 3/8, dp = 2 3. 10/7, dp= 3

A: This is the problem of counting. Error Analysis.

Q: 15. Find the area of the shaded area in the following figures. 50 40 30 y= 4x+16 20 y = 2x² +10 10 -...

A: The equation for the area of a curve y=f(x) and x-axis from x=a to x=b is given by A=∫abydx. In this...

Q: (mod m) and l.

A: Given: Xn be a RSR(mod M) a,m=1

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Q: Evaluate L{e" (coshrt + sin nt)} . s+3 А. (s+3) –n² (s+3) – n² S-3 В. (s–3)° -n² (s-3) – n² S | s+3 ...

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Q: You buy a car for $26,450. Because you now have reliable transportation, you are able to obtain a jo...

A: Solution:      Given that

Q: QUESTION 1 (a) Obtain the general solution of the equation = 2xy. (3 Marks) (b) Find the solution of...

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Q: Consider the LPP of maximizing -I1 + 5x2 subject to the constraints 2x1 + 4r2 + 13 0, 11 > 0, and 1...

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