3. If the function f : R R is defined by the rule f (x) = 4x + 1 for all real numbers x is one-to-one, then find f-1 and use composition of functions to show f and f-1 are indeed inverse functions of each other.

Q: [2 31 Given A =1 1, B = [4 2) [1 21 1.D = [3 1 2), find 14 (a) A+2B (b) ВС (c) AC (d) DD' (e) D'D

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 7. Prove: "If T is a tree of order n and size m, then m = n – 1." Give a concrete example to elabora...

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Q: Solve for the Laplace transform of the following functions. 1. L{t(e' + e*)³}

A: It is known that: Lkeat=ks-a Ltkft=-1kdkdskLft

Q: dy x fanx %3D

A: Given differential equation is dydx=xtan-1xy we can write it as ydy=xtan-1xdx          (1)

Q: sinx 2) lim X0 tan4x

A: The output of the function changes with the input. If the function f(x) has the limit L at x=a, then...

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A: Given a collector of football trading cards paid $6 for a 1984 Dan Marino rookie card several years ...

Q: Question 3. Let b 0 1 0 0 1 a H = c) : a, b, c e Q 1 under matrix multiplication. Notice that H is a...

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Q: 2. Construct the truth table for the formula (A→日→ ((B→9>) → A

A: We have to construct a truth table for: (A→B)→[{(B→C)∧¬C)→¬A

Q: 3. Let {an} be a sequence of real number. Suppose that the power series on R below > an(x – a)" n=0 ...

A: Given that an be a sequence of real number. Suppose that the power series ∑n=0∞anx-an is converges a...

Q: PROBLEM 1. Consider the sequence defined by a_ = n 3n + 3; n 2 1, find the following: 4. 1. Σα i=1 4...

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

Q: 2. Y(s) = J(2s – 3)5 %3D

A:

Q: dy x fan x

A: Introduction: The variable is separated when the differential equation can be written as dydx = f(y)...

Q: 6. Find the radius of convergence of the power series x2n n· 4n n=1

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Q: B. Find all spanning trees of the following graph.

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Q: f (t) = 3u(t) + 8(t – 2) + 8(t – 5) – u(t – 7)

A: Given function is  f(t) = 3u(t) + δ(t-2) + δ(t-5) - u(t-7)

Q: Find the Laplace Transform of the following: (2 3. h(t) = }t t 4

A:

Q: 4) Let A and B are two sets as given below, show that A = B. A = {m EZ| m = 2a for some integer a} %...

A: The given sets are:A=m∈ℤ m=2a for some integer aB=n∈ℤn=2b-2 for some integer bWe have to show that A...

Q: (iii) List the order of the vertices of the given tree if it follows (A) inorder traversal. (B) preo...

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Q: 14 If 12 13 3 then x is А. 6 В. —2 С. 2 D. -6

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Q: 6. Find the radius of convergence of the power series 8. Σ x2n · 4n • U n=1

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Q: |a² +1 ab ac The value of the determinant A= ba b2 + 1 bc equals cb c2 + 1 са A. a? + b? + c? B. 1- ...

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Q: GM- A10 Complete the table. Show your complete solution. Compound Maturity Principal Rate Time (year...

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Q: Discuss the equivalences that exist among a given conditional statement, its converse, its inverse, ...

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Q: Decide whether the argument is valid or a fallacy, and give the form that applies. You'll love it, o...

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Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 - -600...

A: The following steps are used to find the solution of the system of equations AX=B, where A, X and B ...

Q: Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A...

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Q: į326545i7287 -3i8746 Simplify: i6745-2i6424

A: The property of exponents are am·an=am+n, (am)n=amn, where a, m, n is any number,  The property of i...

Q: L {f{t)} where f(t) = cos nt sin mt, m + n

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

Q: 3. Approximate the integral -dx using 4 trapezoids.

A:

Q: Let G = D10 × Z/7Z, where, as usual, D10 = (a, b | a³ = b² = e, ba = a*b). Let H ((b, 1)) and K = D1...

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

Q: 31x = 14(mod127) 26x = 3(mod97)| 3(mod97) 17x = 87(mod101) 24x = 591(mod1001)

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Q: QI: solve by Gauss Jordan method 20x +y – 2z = 17 3x + 20y – z = -18 2x - 3y + 20z = 25 %3D

A: we have given the equations 20x+y-2z = 173x +20y-z=-182x-3y+20z =25 Now in matrix form it can be wri...

Q: h(x) = - (x + 2)³(x – 3)² Degree Leading Coefficient End Behaviour y-intercept Roots Order of Roots

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Q: Compute the mark-up price of instant noodles using the given data VCU/U = 20.00 FC = 500.00 US = ...

A: Mark up cost is given by the equation ; Markup cost=unit price·(1+mark up%100)

Q: dy x fan x

A: The general form of a first-order differential equation is given by dydx=f(x,y). The solution of the...

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A: Given equation: 2x2-1=x

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Q: (-1)" (n + 1) Deteremine if the series is absolutely convergent or conditionaly convergent.. n3 +1

A: Given series is ∑n=1∞-1nn+1n3 + 1

Q: Use the Newton-Raphson iteration method to estimate the root of the following function employing an ...

A: Given function is f(x)=xx2-x-10-8 We can write it as f(x)=x3-x2-10x-8            (1) Now  f'(x)=3x2-...

Q: The following force of mortality is given: Hy = 0.02 + for 0 sys 100. 100-y' 200-y Find 10910.

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Q: Solve the linear system by the a.) LU Decomposition b.) Cholesky Decomposition. х+ 2у + 6z %3D 2 2х ...

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Q: F33) use trapezoidal rule to approximate the integral of f(x) = (1/x) from 1 to 2 (only one segment)...

A: The given function is f(x)=1xTo find, ∫12f(x)dx for n=1 using the Trapezoidal rule.

Q: f2)= 2°+2 +| ; whee 2=メ+iy

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Q: Solve * + 3x – 4x = 20t, given that at t = 0,x = 0 and %3D

A: Introduction: One independent variable and its derivatives are included in an ordinary differential ...

Q: Determine the principal value of log; 2i A. 1- 0.44li С. 1 — 3.02i B. 0.198- 0.134i D. 1 - 1.73i

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Q: 3 Estimate the minimum number of subintervals to approximate the value of| (4t° + 9t) dt with an err...

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Q: Jse the definition to find the Fourier transform of f(t) = se-2t, t 20 t < 0 ° let, Do not simplify ...

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Q: Solve one of the roots of 6x^2 - 5x = 6 - 5i. Express your answer in rectangular form in 4 decimal p...

A: We have to use quadratic formula  Roots of  ax2+bx+c=0                x=-b±b2-4ac2a Also we have to ...

Q: • Find f(22) using Gregory-Newton method: 5 10 15 20 25 f(x) 8.720 17.36 25.88 34.20 42.26

A: Introduction: The formula of Newton-Gregory method is given by, y(x)=y0+p∆y0+p(p-1)2!∆2y0+p(p-1)(p-2...