Prove that 197 is prime

Q: Consider the SIR model with the square root dynamics dS = A-µS - B√SI, dt B√SI - (+)1, dR = 71-µR,…

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Q: Calculate 26 where z = 1 − 2j. [Hint: Pascal's triangle.] Calculate z¹0 where z = √3-j. [Hint: Use…

A: To obtain the solution, use the following formulae. Pascal's triangle:…

Q: 1. For each equation, first find the general form of the solution, and then apply the given Cauchy…

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Q: You are given a system A * v = 0, where A is a known matrix of size M x N (with M >= N), v is an…

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Q: 3. Evaluate the following in terms of Gamma function [Hint: Evaluate the func- tion in terms of Beta…

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Q: Compute the missing terms in the arithmetic sequence. -38, 562, ...

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Q: Describe the end behavior of the function f(x)= √7x

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Q: V = M2x2 (IR) M = { A€ V A = A²} N = {AEV A = -A^²} Subset V = M let of the vector space V N prove…

A: To prove that V is direct sum of M and N V=M⊕N, we need to prove  V=M+Nand M∩N=0

Q: Year Global plastic production (tonnes-year¯¹) 1975 46,000,000 1978 64,000,000 1981 72,000,000 1984…

A: As per the question we are given a data table and we have to find the best-fit exponential curve for…

Q: (7) Which changes the order integration 2 To Tax Six,y) dydix ? 2X 2 os to lyn Hexy dxdy b) √ ² do…

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Q: An airplane has an airspeed of 500 km/h. The pilot wishes to fly to a destination the the plane's…

A: Formula for resultant of two vectors R=A2+B2+2ABCosθ where A represents magnitude of A and θ is the…

Q: The imaginary part of sin j is _____.

A: Introduction: The complex numbers are represented thru a Cartesian plane known as the complex plane,…

Q: Rayleigh's equation is y” +4 (½(1¹)² − 1) y′ + y = 0, where µ is a constant. Show that differenti-…

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Q: H⋅w. and dwy for the following functions du OX ०५ 2 x+3y² e I_ _w=x²³ tan! ( _ x² + y² 2- W x+y √x²…

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Q: X X Oml 0 1 4 2 3 9 16 لیا

A: Given data is x 0 1 2 3 y 1 4 9 16   Now forward difference table is x y ∆y ∆2y ∆3y 0 1…

Q: Chapter 9.4, Question 8 What single payment today would replace a payment of $5000 in one year and…

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Q: Hw Leto: R S be a ring homomorphism. Show that If A is a subring of R, then (4) is a subring of S

A: We have given that ,  φ : R → S be a ring homomorphism. If A is subring of R. We need to show that ,…

Q: 5. Find the distance from the pole to the vertices, and then find the equation of the hyperbola in…

A: To find: Vertices of the curve and the equation in rectangular coordinates of the following polar…

Q: The matrix. ^-[3] 3. A = has an eigenvalue of multiplicity 2 with corresponding eigenvector 7. Find…

A: Here the given matrix is                                  A=3-14-1 We have to find the eigenvalue λ…

Q: A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: Discreet Mathematics Given F (A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD, express F (A, B,…

A: Given:  F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD To find: Minterm list form

Q: 1. Determine the volume of a solid of revolution generated by rotating around the x-axis the region…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Find the total areas of the shaded regia 47. y=x√4_7²

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

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Q: If f(x) = – 1 1 + 8x f'(x) = Σ – Σ n=1 = Σ (-1)"8"an n=0

A: Follow the steps.

Q: 2. Determine the volume of the solid obtained by rotating the region bounded by y = 4x and y = x³…

A: The volume of revolution of the area bounded by the curves y1=f1(x) and y2=f2(x)  between the limits…

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given,Integral,I=∫021xdxTo find: Value of the given integral using any of the numerical methods

Q: T-1 S '(s-2)4 2)4]

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Q: Pation ET The following shows a pattern made with matchsticks. Based on the pattern, what would be…

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Q: Solve the differential equation (1 + e²/v) dx + eª/v (1 − ª ) dy = 0

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Q: For each of the following systems, find all the equilibrium points x₁ = x₂ a) (x₂ =−x₁ - x₂ + ² -X1…

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Q: Find the Laplace Transform of e-t sin2t 2 2s 2 A. ²/+ B. S (s+1)²+4 (S-1)²+4 C. S+1 s(S²+4) D. None…

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Q: Work through the following steps to evaluate (² + 4x + 7)dx. a) We know that a = and b = b) Using n…

A: Note-  Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Find the volume of the region bounded above by the elliptical paraboloid z = 6 - 2x² - 2y² and below…

A: We will use limits of x,y,z to create a triple integral to represent volume and then solve it

Q: (b) Consider an object of mass m, dropped from some initial height and falling down towards Earth's…

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Q: Solve the following wave equation using partial Laplace transform: a²ua²u + sinxx; 0≤x≤ 1, tz0 at²…

A: Introduction: In manage device engineering, the Laplace transformation is crucial. Laplace…

Q: of and for the functions: dx dy H.W: Find 1. f(x, y) = (xy-1)² 3. f(x, y) = (x²-1)(y + 2) 2. f(x, y)…

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Q: 2. Let X be a normed space and UC X a closed subspace. The subspace U = {X E X' | Vu EU: X(u)=0} is…

A: Suppose that there existx∈U⊥⊥:=x∈X : fx=0, for all f∈U⊥ such that x∉U.¯Evidently, x is not zero.…

Q: Find the Taylor series of  f(z) =ln z  with center 2i

A: The Taylor Series of fx centered at x=a fx=∑n=0∞ fnan!x-an

Q: part b

A: As per the question we are given an optimization problem for which we have to find a better solution…

Q: The function w gives the weight of a cat, in kilograms, when it is m months old. Which statement…

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Q: Consider the following optimisation problem min f(x, y) = x + y − x2 subject to x + y ≤ 1 x ≥ 0, y ≥…

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Q: Determint the function in the interval fourier series f(x)=2x-20 of the in the -3<x<3

A: As per the question we are given a periodic function f(x) = 2x - 20 for, -3≤x≤3 And we have to find…

Q: Home work :- Q2₁/ solve the differential equation. (y²³-y²₁ sinx-x) + (3xy^² + 2y cosx) dy 3 Q₂/…

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Q: Graph the function in your notebook . f(x) = x² − 2x + 1 Take out the values a= b= C= Find the x…

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Q: OLee's family is hosting an end-of-summer burger bash. His parents buy a family-size package of…

A: Given- Lee's family is hosting an end-of-summer burger bash. His parents buy a family-size package…

Q: Let A be the adjacency matrix of a complete graph K4. (a) Write down matrix A. (b) How many possible…

A: Follow the steps.

Q: Find S Ĵ 5+1 5³ +95³²+265 +24

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Q: 4. A population of squirrels is currently measured to be 500 squirrels. a. Write a function P(t) to…

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Q: Determine the volume underneath the plane f(x, y) = 3-2.7x over the region R, which is bounded by…

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