Prove that there is no permutation a such that a'(12) a = (34) (15). %3D

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Q: (1) Consider the following differential equation, with time domain t e (0,1): Sy = (12 – 1)y, lu(0) ...

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Q: find the result and reminder

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Q: H-W: 1- Fraluate the following integrals a - St7 +12 dt

A: (a) Assume 7t2+12=u and find the total differential.  

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Q: 1. f(t) = e3t 2. f(t) = t3 3. f(t) = cosh(3t) %3D 4. f(t) = cos(2t) 5. f(t) = sin(5t) cos(5t)

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A: given function fx=-x2+sinx=0 find the root of the equation using bisection method in the interval 1,...

Q: QUESTION1: Write the following statements in terms of the universal and/or existential quantifiers. ...

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Q: 2. The system of equations log. (r? + y) – 1 +y = 0 Vỹ + ry = 0 %3D has a solution close to (r, y) =...

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Q: Testing for Linear Independence In Exercises 27-40, determine whether the set S is linearly independ...

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Q: Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

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Q: Surface area of Revolution 1. Find the area of the surface obtained by rotating the curve y? = 4x + ...

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Q: ds Find the solution 2- dt S 5t3S3

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Q: t the following functions : allest maximum value to ximum value. f(x) = -5a? – 11 5x²

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Q: A gasoline mini-mart orders 26 copies of a monthly magazine. Depending on the cover story, demand fo...

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Q: Find a three point quadrature rule for integrals of the form ² dx. f (x) e I suggest using WolframAl...

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Q: mation to th- correct to thre

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Q: Q3:- Use the definition of derivative to find the tangent and normal equations of f(x) = x-3

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Q: 25y 0;

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Q: 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 A = 1 1 13 0 0 1 0 5 B = 0 0 0 1 0 0 0 3 1 12 2 0 0 1 7 C = 0 0 0 0 1 ...

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Q: 5) You are on a rollercoaster, and your path is modeled by a vector function r(t), where t is in sec...

A: Note that this is a multipart question having 3 or more interrelated subparts, so as per the company...

Q: 2. f(t) = t3

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Q: 5,t2 %3D as t= 5, 1, = 8. Find t

A: The nth term of the Arithmetic sequence is given by tn Therefore tn=t1+n-1d where t1is the first ter...

Q: Show that the following functions are harmonic and determine the conjugate functions. 1. x= -3y +3x-...

A: Given: Let us consider the given function  1.u=x3-3xy2+3x2-3y2 2.u=3x2y-y3 Determine the functions t...

Q: dy Q1: - Find of the following functions dx y = (x +) (x –+ 1 a. %3D - x2+3 b. y = %3D (x-1)3+(x+1)3

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Q: 40 15 38 35 18 20 37 22 25 16 43 13 E F Find the minimum cost spanning tree on the graph above using...

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Q: encryted using a shift cipher with C(x) = (P(x) – 12)( mod 26). Decrypt the The Ciphertext below was...

A: The given encrypt function is Cx=Px-12 mod 26. Decrypt the chiphertext  XIZWIGQOSGOF. From the encry...

Q: Suppose f is a function that satisfies f(2) = 20 and f(2n) +nf(2) = f(2n + 2) for all positive integ...

A: It is given that, f(2)=20      ...(1) and  f(2n)+nf(2)=f(2n+2)     ...(2)   Here 'n' must be a posit...

Q: 1 converge ne series n3-7

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Q: 3. 6y" – 7y' – 5y = 2x + e-5 [5 marks]

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Q: 8s2 -4s+12 1. F(s) s3 +4s

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Q: Solve this 75 + 75.175 -110 -25.882 If your answer is 66.06 and you can prove to me that the answe...

A: 75+75.175-110+25.882 =(75+75.175+25.882)-110 =176.057-110

Q: 7. Determine the inverse Laplace transform of the following functions. 1 1 b. s2 + 4 a. s+2 1 1 d. c...

A: Reframe the given function. s-5s2+4s+5=s+2s+22+12-7s+22+12

Q: 5. Use truth tables to verify the commutative laws a) p Vq =q V P b) p^q =q^ P

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Q: (TA~ F) F) v (T

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Q: 10 2. F (s) s2 +4s+4

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Q: Let X be a Hilbert space and T:X → X and T2: X → X are self-adjoint operators such that either commu...

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Q: root of 25 is 6". wing questions with either T (if true) or F (if false

A: the statement p: 8 mod 2 =1 since 2 divides 8 therefore 8 mod 2 =0≠1 (a) therefore the truth value o...

Q: Rewrite the given triple integral in cylindrical and spherical coordinates and evaluate one of them ...

A:   Given integral ∫−22∫04−y2∫−4−x2−y24−x2−y2zx2+y2+z2dzdxdy  

Q: f(x)

A: In this question, the concept of the graph is applied. Graph The graph of a function is the collecti...