X -2 -1 0 1 2 y=-4x3 + 2x+1 현 1" 2nd 30 X -2 -1 0 1 2 3 y = -3x4 + x-1 D 1st 2nd 30 4th

Q: CO Show that for all n EZ,n ≥1, if A and B 1, B2, ... are any sets, then n n n(A x B) = A x (B); i =…

A: We can prove these result.

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Q: Invert the matrix 0 2 1 0 -2y 0 where y ER\{0} is a non-zero real number. A = -1 0 -19

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Q: 3. Let A [1.1 -0.1 0.3 0.7 0.7] Is matrix A invertible? How do you know?

A: Solution 3: Given matrix is A=1.1-0.10.30.7 The above matrix is invertible if determinant of matrix…

Q: Determine if the system is consistent. If so, is the solution unique? 3x +2y+z2w = -5 x + 3y + 4z +…

A: Sol:- If a system has only one solution , then it is consistent. So first find the solution of the…

Q: 11. Let X = {x ER | 0<x< 1} and Y = {xER | 2<x<5}. Determine whether. and Y have the same…

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Q: Use a graphing utility to graph the function. f(x) = √92²-6 7x+7 O -6 + 2 + 2 Find the equations of…

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Q: Prove that N× N × N× N is countable.

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Q: Q3 (a) (b) (c) Given the function: f(t) = {4-t 0<t <2 2 <t<4 Show whether the function f(t) is even,…

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Q: Consider the function f(x) = 5 - 5x² on the interval [ – 1, 4]. Find the average or mean slope of…

A: f(x) = 5 – 5x2 f(4) = 5 - 5.42 = 5 - 5.16 = 5 - 80 = -75 f(-1) = 5 - 5.(-1)2 = 5 - 5 = 0 So,…

Q: anthe problem I+y: Itt y' year=e. and approximate y and 1 2 h = 0.2, 0.1

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Q: Theorem 8.13. Let 0 <q <p<. Iffe L'OL", then fe l' rall q<r<p.

A: It is given that  0 &lt; q &lt; p &lt; ∞  and if f ∈ Lp∩Lq then we have to show that  f ∈ Lr  ∀  q…

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Q: Examine if the following limit exists, x+y+1 lim (x,y) (0,0) In(x2 + y²) * If the limit exist,…

A: Given               lim(x,y)→(0,0)x+y+1log(x2+y2) Here we can Replace y=x and x tends to 0 as well…

Q: P(Cough) = .1 and P(Cold | Cough) is .2 and P(Cold) = .05, what is P(Cough | Cold) discrete

A: Introduction: A mathematical equation is one that contains one or more functions as well as their…

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Q: QUESTION 5 Match the following sums to their sum notations: 4 3 ΣΣ i = 2 j = 1 5 j = 1 i+j 2ij…

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Q: Exercise 5. Consider the function f(x, y) = sin(xy), 0≤x≤ π,0 ≤ y ≤ 1. find local maximum and…

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Q: Use the Fundamental Theorem of Arithmetic to prove that 8 is irrational.

A: Any number is said to be rational if the number is of the form ab,b≠0. Any number which is not…

Q: L = {w = {a,b}*||w| = 0 (mod 2) A the two middle letters are differnet}

A: Given : L=w∈a,b* w≡0 mod 2 ∧ the middle letters are different  To Prove :L= L(G)

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Q: PROBLEM 2.1.1 In each case, find the vector LA(X). (a) A = (² b).x = (-³¹). (b) A = (1 o).x = (i).…

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Q: 1 lal - If F(p) is the Fourier transform of f(x), then F(p/a) is the Fourier

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Q: zy a + For this actvity, find the matrix representation [7] for the linear transformation T: R³-R²…

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Q: (b) Show that if : R→ S is only assumed to be a ring homomorphism, then it is possible to have a…

A: We can prove the above result using two contradictory examples. Note that these examples are only…

Q: - 4. y(x² + xy² − 1)dx + x(x² + y² + 1)dy = 0

A: Introduction: When a first order ordinary differential equation is not exact, we multiply…

Q: 29. Consider the function f: R² →R: (x,y) → f(x,y) = g( Determine the gradient of f. 1 1 2x - 2y g(1…

A: Please check the next step for details.

Q: Consider the matrix A = Calculate a22 = 8 5 d n -( :-(29 766 b f 468 h с Calculate 932 = a e

A: It is provided that: A=852766468·dngbfahce. We need to calculate a22, a32.

Q: Solve the IVP: ty" - ty' + y = 2+u₁(t)8(t-2), y(0)=2, y'(0) = −4.

A: Introduction: When an initial value problem is provided, we use Laplace transformation. This method…

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A: Introduction: A equation in arithmetic is Associate in Nursing equation that has one or additional…

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A: We have to use relation between cartesian and spherical system  x=ρ sinφ cosθ , y= ρ sinφ sinθ , z=…

Q: dv/du = (u — v)² — 2(u — v) — 2.

A: We need to solve the Bernoulli differential equation: dvdu=u-v2-2u-v-2.

Q: 2. Solve the following assignment problem shown in Table using Hungarian method. Your salespeople…

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Q: understand how

A: Please cheek the answers in next step. This is a follow up question.

Q: 2. Determine the definition of the piece wise linear function shown in each of the graphs

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Q: Question: What does the following quantity represent? S²(1 – r²) A: The proportion of the variation…

A: Given: Quantity : Sy2(1-r2)To find: What does the above quantity represent?

Q: a). Sketch the slope field of the differential equation. (x - y); within the Interval -3 ≤ x ≤ 3 -3…

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Q: (-1)m Am = 7+ m Bm 2 min {5-m(-1)m+3, 7} R= {m EN: Bm = -4m}, V = {m EN: Bm = -8}, W = {m € N: Bm =…

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Q: y' + ²-√√y = 0, y(1) = 0 x

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