Define f, 9: R + Ras (x? if x<-1 f(x) = {3x – 2 if -1sxs3 (1– 4x if x>3 and g(x) = 8x – 1. Flnd f•g and gof.

Q: Q19: a. Find the elements of Zg that have multiplicative inverses. True or False: Every subset of a…

A: Solution

Q: Q4) Solve the boundary value problem y 3y + 2y 0 with %3B y'(1) = 1 , y(3) = 2e* – e? h = 0.5 %3D

A: Given data differential equation y"-3y'+2y=0 with y'(1)=1    &amp;   y(3)=2e4-e2     and h=0.5…

Q: How fast does the cone volume rise as the water level increases at a rate of 2 m/sec (Note: the cone…

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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: An example of cissoid of Diocles is r = sin 0 tan 0 whose graph is below. Show this curve has the…

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Q: All work must be shown. Missing steps can result in a loss of credit. 1) The third term of an…

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Q: Theorem 11: Let f(t) and g(t) be two functions of class A and let L[f(p);1]= f(t) and L"[E (p);t] =…

A: Using the definition of laplace transform. Changing the order of integration and corresponding limit…

Q: What happened to the graph? f(x) = -0.5|x| Fix) f(x)

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Q: The continuous image of a connected set is connected. That is, if X is connected and f: X→ Y is…

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Q: A random sample of 23 components is drawn from a population size of 100. The mean measurement of the…

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Q: Suppose f"(x) = N;(h) + a,h +a,h* +azh +- %3D ... When calculatıng N, (h) using Richardson…

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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: se the tabular method to evaluate the integral + 2x – 1) cos(4x)dx

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Q: Use Shell Method to find the volume of the solids of revolution described in each item. Find the…

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Q: Q1 Minimise f(x) = X;² + x;? + 2x3? – x1x2 %3D a) Determine the stationary point and check the…

A: Given, f(x)=x12+x22+2x32-x1x2 a) Stationary point:…

Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: Suppose that a game has the following payoff matrix. Calculate the expected values for the following…

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Q: Let K = {-1< x + 2z < 2, 0 < -3.x + y + 2z < 2, 1< –x + 2y < 3} and p(x,y,z) = -x + 2y be the…

A: Changing the variables for triple integral

Q: Q21. Give an example for a not commutative ring with identity. Q. 22 True/ false 2 and 3 have…

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Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

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Q: Q7: Define the cancelation law. Is it satisfy in any ring? . ond iso

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Q: Let X = {x E Z+ | 15 < 4x < 22} and Y = {y is even | 0 < 2y +1 < 15}. Define a relation R from X to…

A: We have to find the elements of X and we have to define a relation R from X to Y.

Q: Let f(t) be continuous for all 20 and be of exponential ordrer as t→ .Also suppose that f"(t) is of…

A: We have

Q: السعلهلتمـِxله ملتلعللمو ) محلموكلوفحلرللت )رههد x^(5- )x = )ه ,4¢x

A: The given P.D.E is                              utt=16uxxu0,t=u5,t=0, utx,0=0   ux,0=x25-x To find:…

Q: Q21. Give an example for a not commutative ring with identity. Q. 22 True/ false 2 and 3 have…

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Q: A. POWER SERIES SOLUTION OF DIFFERENTIAL EQUATIONS 2. y"+2xy'+5y = 0

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Q: X = Q2: Solve the following linear differential equation:

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Q: 2 0 Q4)(a) Find the maximum eigen value for the system 4 = with initial vector x' (0) = (0.0299 1

A: We have to find the maximum eigenvalue for the system A=20111 with the initial vector xT0=0.0299  1T

Q: There is some number whose square iIS 64 . All animals have four feet . Some birds eat grass and…

A: Since you have posted multiparts question and we can answer three subparts. So, answered the first…

Q: Reading Question 6.3.4. Let G = (g) be a cyclic group of order n. Which of the following claims is…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.

Q: A company's marginal costs (in hundreds of dollars per year) over a certain period are shown in the…

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Q: 4. Consider the following function: 2. -2 < x < -1 f(1) = {r, -1<r<1 1<r<2. 2-I, (i) Sketch the…

A: The graph of f is sketched as shown below.

Q: Locate the vertex, the focus and ends of the latus rectum and find the equation of the directrix,…

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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: Use Gauss-Jordan elimination to solve the system of equations. + 2x2 + 3x4 -1 X1 -2x1 + X2 + 3x3 3…

A: The given system of linear equations                                                     x1+2x2…

Q: Q15: Define the concept of ideal and then show that the set I = { 2:a, b eR} a. b' :а, is not an…

A: Ideal: A subring of a mathematical ring with specified absorption qualities, as defined in modern…

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: 1. Use the Euler, improved Euler and Runge-kutta methords to Solve the following ODES : d. y =(1+ y,…

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Q: تكلهلتـمـِيله ملتههلعللمو )ي محلموكلوفحلرللتههد x^(5- )x = )ه ,Q

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Q: Q16: What's mean by a nilpotent element of a ring R? Find all nilpotent elements of Zg.

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Q: Verify F (1,1; 2;x) = –x¬ln(1 – x) By expanding each function in a power series about x = 0.

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Q: 1. Q4) Find the maximum eigen value for the system 4 = 5 4 with initial vector x' (0) = (1 1)

A: Solution

Q: Can you make an xy table and graph out of this

A: The xy table and graph of the given function are as shown below.

Q: Find the solution of the follo wing Diffevential Equations 22) uý - 45+37y=0 y(0)=3

A: To find the solution of a given differential equation first we will find its auxiliary equation…

Q: 1 Let ū = and ū = a. Prove that the set W consisting of all vectors in Rª that are orthogonal to…

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Q: 200 Determine L-1 82+50s+10625 O 2e-25t cos(100t) 2e-25t sin(100t) O 2te-25t sin(100t) O 2e-26t…

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Q: A volleyball is hit when it is 4 ft above the ground and 12 ft from a 6-ft-high net. It leaves the…

A: We have to find a vector form for the path of the volleyball and how high does the volleyball go,…

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: If event X cannot occur unless event Y occurs first then: a) Y is necessary for X b) X is necessary…

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Q: You generate a scatter plot using Excel. You then have Excel plot the trend line and report the…

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