Prove the identity 1+z+z²+...+z"-1 th if = 1-z" 1-z on th noot of: 2 for z 1. ait other than 1 +

Q: M The function f is discontinuous at x = 1 because f is not defined at x = 1. The function f is…

A: Continuity of the function

Q: 3. Use cylindrical coordinates to compute the integral Z !!! √x² + ² dv D where D is the solid…

A: Evaluation of triple integrals, using change to cylinder coordinates

Q: Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0) ¹x₁ to find a…

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Q: 3. (UD-1) Solve the following initial value problems using auxiliary equations: (a) y" + 6y' - 16y =…

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Q: For ohy a <bony f: [dsb] → IR and any n ≥4 RIGHT (f, n)-f(x) dx = 1 (b-d) ² max 2 n xeld by |f'(x))…

A: Given a=0, b=2, fx=2πe-x22. With n=4, the width of each interval will be ∆x=b-an=2-04=12. Thus, the…

Q: Where is Hwy 30 supposed to be? It is perpendicular to Bird Pond Road and Main St.

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Q: If 7,7, and are the standard unit basic vectors in 3-space, determine the value of • (7-3k) + (1 -…

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Q: 3. Find the volume bounded above by the paraboloid z = 6-x² - y² and below by the cone z =√√x² + y²…

A: We have to determine the volume of the solid bounded above by z=6-x2-y2 and below by the equation…

Q: The following matrix A has a quadruple eigenvalue at λ = -3. Compute its Jordan A canonical form.

A: Given that the following matrix A has a quadruple eigenvalue at λ=-3.…

Q: Solve for the relative min value of y = 5x - 17 In (4x)

A: We have to solve for the relative min value of  y=5x-17ln(4x)

Q: (x²y² + x² + y² + 1) dx + y² dy = 0 where: Show if it is exact, variable-separable, or first-order…

A: Separation of variables, differential equations

Q: Determine whether the equation is exact. If it is, then solve it. y = ¾ ]dy = 0 7 [ 1 1 1 1 cos…

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Q: Find the indefinite integral. (Use C for the constant of integration.) /2 2 sin(x) cos(x) dx X

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Q: Find the derivative of the function. f'(x) = f(x)= In(cosh(x)) Need Help? Submit Answer X Watch It G

A: To find derivative of given function, we use chain rule.

Q: Prove that √2 +1 is irrational

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Q: 3) het fix) = x² + 2x + 2 (a) Explain why fiel is irreducible in 24₂6x5. (5) Why is field? How…

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Q: NAROL is a long range hyperbolic navigation system. Suppose two NAROL transmitters are located at…

A: The standard form of the hyperbola is x2a2-y2b2=1. Here, a is the distance between the vertex and…

Q: The sum of 2 positive numbers = 70 Find the smallest possible sum of their squares.

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Q: Solve for the relative max value of g(x) = 45 17x²-3x³

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Q: Suppose that F is a field of characteristic 0 and E is the splittingfield for some polynomial over…

A: a. It is given that F is a field of characteristic 0 and E is the splitting field for some…

Q: Then d = "THEOREM": Suppose a, b E N, and d GCD(d, b²). “Proof”": By hypothesis, we have that dla…

A: We modify the missing arguments in the proof and explain in detail below.

Q: (3x - 1)" n Consider the power series a) Show that the resulting series when r = 0 is conditionally…

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Q: 1 2. Let f(x, y) == x³ + xy=x+y². 6 a. Find all critical points of f. b. Find the absolute maximum…

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Q: ate 3 and y = 0. S S SV E 4y² dv where E is the solid below 2 = -37²-3y² and above 2=-12

A: As per our guideline we can solve only first question for you. please repost for another. Thank you

Q: X₁ B. X₂ X 3 1.4375 1.875 2.875 -1 111 4.562 4.125 3.312 5.039 3.863 2.675 865.0 1.244

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Q: Exercise 3. We derived Equation (10) which expresses the two 2-point DFT's DFT (ao, a2) and DFT (α₁,…

A: Given: Expressions of two 2-point Discrete Fourier transform in terms of the 4-point Discrete…

Q: Initial Post Prompt Let 5 0 3 Include the following in your initial post: Justify all of your…

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Q: 49. Using the map below, determine the number of direct routes (no backtracking) from point A to…

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Q: The left, right, trapezoidal, and midpoint rule approximations were used to estimatex) dx, where is…

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Q: Given f(x) = x² - x - 6 for values of x = [0, 6], a. Write an equation of the line tangent to fat x…

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Q: 2.5. Let p be an odd prime and let g be a primitive root modulo p. Prove that a has a square root…

A: Solved using basic properties of elementary number theory.

Q: A model for a power cable suspended between two towers is given. y = 4 + 24 cosh(2), -24 ≤ x ≤ 24…

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Q: use Gauss elimination with back substitution Solve the following system 2X1 + 3X2+6 х3 +4х4 = 49…

A: Given system is     2x1 +3x2 +6x3 +4x4 =49-3x1 +6x2 -2x3 +6x4 =27    9x1 +8x2 +4x3 +2x4 =65    6x1…

Q: Let f(x) = Ax² + Bx + C where A, B and C are real numbers. Prove that if f(x) is an integer whenever…

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Q: #/2 cos x Reverse the order of integration for f(x,y) dy dx. 00 Given x2y²-2 and x ≤y. Find ffydA R

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Q: The length of North Sea sole, a species of fish, can be determined using the von Bertalanffy model…

A: Given:- L=14.8−19.106×0.631t a) t(years) L(inch) 1 2.7441 2 7.1927 3 9.9998 4 11.7711…

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. x2 dy - 2xy = 6y4, dx 1) ==…

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Q: A forester mixes gasoline and oil to make 2 gallons of mixture for a two-cycle chainsaw engine. This…

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Q: From the characteristic below, write an equation for each sine function. (Show your reasoning)…

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Q: 2. Let 21 and 22 be complex numbers. Show that |1 — 7₁z2|² − |21 — 22|² = (1 − |z1|²)(1 − |22|²) -…

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Q: Determine the interval of convergence and the radius of convergence of the power series x2n E n=2 n…

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Q: pen ular equal squares in its corners and folding up the sides. Solve for the height x (cm) to give…

A: Volume of the box

Q: ) True, False or Indeterminate: Given R, = h Sff dA= Sff dA-fff dA. R R₁ R₂ the union of R and R2, )…

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Q: 1. Find the work done by the force F(x, y) = x²i+(3x-6y)j on an object moving along the line segment…

A: TT

Q: Use Cardano’s Formula to find a solution c to the depressed cubic equation x^3 – 3x + 2 = 0. Then…

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Q: For the following exercises, consider the scenario: The profit of a company decreased steadily over…

A: Straight line equation is y=a+bx.The normal equations are∑y=an+b∑x∑xy=a∑x+b∑x2The values are…

Q: Are the vectors -6 -9x+9x², 3x12 + 6x² and 10+ x - 7² linearly independent? choose If the vectors…

A: Given that the vectors-6-9x+9x2   ,    3x-12+6x2  ,  10+x-7x2

Q: 7. Use the Chinese remainder theorem to solve this problem: N = 1 (mod 3) N = 4 (mod 5) N = 6 (mod…

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Q: $). Give an example of a bijection f: R→ R which is Problem 8 not a homeomorphism.

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Q: 6. 5. Find the general solution of the equation xy" + 2y' + xy = 0, if we know that y₁ = solution.…

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