Define f, g: R → R as if f(x) ={3x – 2 if -13 and g(x) = 8x – 1. Find f o g and gof. %3D

Q: Find the product of z1 = 2 (cos 213° + i sin 213 °) and Z2 = 4 (cos 33 ° + i sin 33 °) %3D

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Q: Find the GCD of 284 and 40 using the Euclidean Algorithm.

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Q: 9. An anagram of a word is a rearrangement of its letters (each of the letters must be used exactly…

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Q: Hiws solve Sinite diffrence me thod J+ X =2Xy 32x4 [ol] || y (o)=I

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Q: Let N (h) be the approximation of f'(xo) with some numerical differentiation scheme depending on h.…

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Q: timate the axerage amaunt Spant on entetinmest uante to Cnduct 1A markeking mseand piem wante to…

A: Given,Error margin, E=2000Standard deviation,σ=4000Confidence value =95 % To find: Minimum required…

Q: The lower right-hand corner of a long piece of paper 6 in wide is folded over to the left-hand edge…

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Q: SAIU-Class Homepage it Intellipath(tm) for Student Intellipath(tm) for Student…

A: Remark: Scaling a length means multiplying every linear dimension of it by the same factor. Thus you…

Q: Characterize the primes p mod 20 such ial

A: We have to characterize p mod 20 such that -5p=1.

Q: How many truth possibilities are there with 6 statements.

A: To find how many truth possibilities are there with 6 statements given :-

Q: Find the area under the normal curve given the z-scores. A. Using Standard Normal Distribution Table…

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Q: Q5) Solve the equation with y (0,1) = y (1,1) = 0 y (x,0) =sin x 0,0sxSI 8 and ôy (x,0) (r=1, h= 0.1…

A: The given P.D.E is                           ∂2y∂x2=∂2y∂t2  with y0,t=y1,t=0      yx,0=18sinπx…

Q: Solve for the values of x and y using LU Decomposition from the given matrix and prove that PA-LU or…

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Q: Q3: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.

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Q: Because eºt in the t-domain is related to in the s-domain, which one of the following S-a is the…

A: We will use definition of Laplace transformation to solve this problem.

Q: Suppose we have the following sets: J = N, K = {k E Z | 0 < 2k +1 < 20}, L = {0, 1, 2, 3, 4, 5, 6,…

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Q: Problem 1.58 Check the divergence theorem for the function v = r? sin© î + 4r² cos e ê + r² tan 0 @,…

A: (1) Solution:- Using the volume of icecream cone shown in figure

Q: 2. Show that p q is congruent to (p - 4)A .

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Q: TOPIC 1: LU Decomposition/LU Decomposition with Permutation 1. Solve for the values of x and y using…

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Q: B. FOURIER SERIES OF PERIODIC FUNCTIONS 4. Interval 0 <x<n, function, f(x) = sin 2x. %3D

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Q: A Beverton-Holt model for a fish population is described by the DDS 3.07Pn Pn+1 1+ 0.003Pr with Po…

A: We are given an equation which represents Beverton - fish model for fish population.

Q: Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y is…

A: Given function is fx,y=1,           x,y=1,−1x2+yx+y  ,x,y≠1,−1 . We have to show that the given…

Q: A guitar string is clamped at both ends. For the purpose of this problem we may consider it to have…

A: Given function is u(x,t)=sin(x)cos(t)-19sin(3x)cos(3t)+125sin(5x)cos(5t)      (1) Solution a: at x=0…

Q: Use the tabular method to evaluate the integral |(* + 2x – 1) cos(4x)dx

A: The formula for integration by parts is ∫udv=uv-∫vdu. The tabular method is a simplified form of the…

Q: Ql: what's the relation between prime and semiprime ideals.

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Q: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.

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Q: each of the following O Abelian group b) Integral domain ring c) Principal ideal =) Sylow p-group.

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Q: Use the main theorem on primitive roots to show 12 must be a primitive root mod 25 (don't take…

A: We first state the theorem (Theorem 10.6 in Apostols Analytic Number Theory) and then use the…

Q: 4. Interval 0<x<n, function, f(x) = sin 2x. %3D

A: We have to find the Fourier series of the function fx=sin2x ,x∈0,π

Q: n + 1 Σ' n=1 n² Vn

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Q: IM 6.15 1. Write another function that has the same graph as y = 2 cos(2) – 1. 2. Describe how the…

A: IM6.15 (1) To write: Another function that has the same graph as y=2cos(x)-1. (2) To Analyze:…

Q: Give a reflection about the movie entitled "The Adventures of a Mathematician."

A: Among the many individuals taking part in the Project, there was even the Jewish mathematician of…

Q: Determine the value of k such tha the function below has a horizontal tangent at x = 1/2 f (x) = 4x2…

A: We know that the equation of tangent line to the curve f(x) at the point x=a is…

Q: Qi: (A) Let R =(Z12+12-12). 1. Find all maximal ideals of R. 2. Evaluate char. (R). 3. Is R a field?…

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Q: 27 Consider the vector a = -9ị- 3j. (a) Find â. (b) Find the vector b in the direction of a with a…

A: To find unit vector we find the magnitude of vector . To find vector b neglect the negative value of…

Q: QI: what's the relation between prime and semiprime ideals.

A: We have to state the relation between prime and semiprime ideals.

Q: Use the main theor 't take powers)

A: We have to show that 12 must be the primitive root of 25 by using the main theorem on the primitive…

Q: Inx 1 13. lim, X,

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Q: A subspace of a completely regular space is completely regular.

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Q: D: Define nilpotent element. Are 1 and 3 nilpotent elements of Z11?

A: Solution

Q: 2. Determine the equation of the following function. State your answer as a piecewise function. y 10…

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Q: (B) Explain the relationship between each of the following a) Field and integral domain. b) Cyclic…

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Q: I. Problem Solvinga 1. Given the function, find the Fourier Series Representation. f(t)

A: from graph f(x)=-π-x,x∈[-π,0) π-x,x∈(0,π] Fourier series of f(x) is given as f(x)=a02+∑n=1∞an…

Q: |4x dA R.

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Q: 2. Detemine if the following integral converges or diverges. If the integral converges, find its…

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Q: (B) Define the triangle group. Then 1. Find all subgroups of it. 2. Is it abelian? Why?

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Q: cos t- sint sint+ cost j, N= - cost- sint cos t- sint j, and K= 1 Find the binormal vector B and…

A: If N and T are unit normal and unit tangent vector respectively then binomial vector  B=T×N If s is…

Q: B. FOURIER SERIES OF PERIODIC FUNCTIONS 3. Interval – 1<x<1; function f(x) = 0, = 1, -1<x<0 0<x<½ =…

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Q: dzdydk 7A 1.

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Q: If X is a finite dimensional vector space and (e,) is a basis for X, show that an inner product on X…

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