Show that the interval of convergence of the series n=1 1 << √2 √2 27-12-1 (4n - 3)² is given

Q: Let p>5 be a prime number prove that expression p^4-10p^2+9 is divisible by 1920.

A: A top wide variety is a herbal wide variety large than 1 that isn't always the made of lesser herbal…

Q: Write the Mayan numeral as a Hindu-Arabic numeral. notation 4x10+6×10 The equivalent Hindu-Arabic…

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Q: Use Romberg integration to compute R3,3 for the following integral S²x x³ cos x dx

A: Given integration is I=∫01x3cosx dx For n=1 sub interval h=1-01=1 Then by Romberg  method…

Q: Terri Vogel, an amateur motorcycle racer, averages 129.18 seconds per 2.5 mile lap (in a 7 lap race)…

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Q: 4. In Chebyshev polynomials form, the value cos 20 = ... a) (T₂(x) + T₁(x)) c)(T₂(x) - T₁(x))) O b O…

A: Solution

Q: Express the following propositions in symbols, where ?,,? ??? ? are as follow:  ?: Neil is a big…

A: To find: the symbolic logic of the given statements.

Q: 4. In Chebyshev polynomials form, the value cos 20: = ...

A: Solution

Q: 3. In fitting a parabola, the formula to find the sum of the squares of the residuals is a) E= Ey-…

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Q: 3.) Evaluate ff cos(x-y) sin(x+y)dA, where R is the triangle with R vertices (0,0), (-л,π), and (,)…

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Q: Define a vector field in space as follows: F(x, y, z) = (x + 2z, y -cos z, x³ + 2z). Suppose E is…

A: Given  F→(x,y,z) =x+2z, y-cosz, x3+2z Then  div(F→) =∇.F→=i∂∂x+j∂∂y+k∂∂z.F→…

Q: Let f(t) be the balance in a savings account at the end of t years and suppose y = f(t) satisfies…

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Q: Multiply 974x23 using the galley method. Construct a rectangle for multiplying 974x23 using the…

A: To find- Multiply 974×23 using the galley method.

Q: Change the order of integration (show all steps, including graph) Sax fay+fdx fay 0 -10

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Q: Ju udv-uv- 1 [vdu to Explain why the substitutions below are inappropriate. Let dv <=x x dx 1.…

A: Here we will find how to use integration by parts

Q: leccione una: a. x(z)= - b. x(z)= - c. x(z)= ■ d. x(z)= e x(z) = Z Z-2 Z 1-Z 1 1-2z-1 1 Z-2 1…

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Q: he columns of Q were obtained by applying Gram-Schmidt process to the colum 5 -4화 || 4 오= 글 56 16 16…

A: The columns of Q are obtained from A  Therefore the columns of Q are e1=561616-12 and…

Q: Wake Zsta is the square of an odd isteger, then the perfect squire of must be of the form

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Q: c) Find the surface area generated by rotating the curve y = (x²+2)³/2, 0≤x≤3 about the y-axis.

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Q: Consider the following equations Y₁ = 3x + 4 2y2 = 2x+8 -Y3= x-4 -3y4 = 9x - 12 What do the lines…

A: Given equations of lines are y1=3x+4             (1) 2y2=2x+8          (2) -y3=x-4            (3)…

Q: Suppose graph G is simple, connected, and has the degree sequence 5, 3, 2, 2, 1, 1. 10. a) Can G…

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Q: 8. Explain why in any group of 1500 people there must be at least 3 people who share first and last…

A: To find- Explain why in any group of 1500 people there must be at least 3 people who share first and…

Q: x ²" (t) + ¢ x (t) = t + 4 where: X (0) x² (0) = 0 X

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Q: 12. If the x-term is missing, then the quadratic equation cannot be used.

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Consider the system ry, 4-4x - 2y. 1. Determine the nullclines of the system and sketch the…

A: As per the question we are given a 2d nonlinear dynamic system. And we have to : Find the…

Q: Evaluate the integral sin(x²)dxdy.

A: This is a question from the double integral.

Q: Discuss using appropriate mathematics the properties and assumptions underlying the OLS technique,…

A: We need to discuss the properties and assumptions underlying the O.L.S.(Ordinary Least Squares)…

Q: Use chain rule to differentiate the following 1 y = sec+ (√x+;

A: To find the differentiation using chain rule :-

Q: . A Garments Factory produces 2 kinds of curtains: Curtain A and Curtain B. For materials, the…

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Q: (b) Find the general solution of the given system: = = 6x - y 5x + 2y

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Q: 2. Solved the following differential equations using Euler method. a) x². d² y dx² dy 4x + 6y = 0 dx

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Q: Problem: A farmer is planning to raise wheat and barley. Each acre of wheat yields a profit of $50,…

A: We have to find the number of acres of wheat and barley to maximize the farmer's profit.

Q: C) Sketch the region of integration and write an equivalent double integral with the order of…

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Q: Find the volume of the region cut from the solid sphere

A: Given the region cut from the solid sphere x2+y2+z2≤4a2by the cylinder x2+y2=a2.

Q: The number of zeros of sin() is: a) 1 b) Infinity c) 2 d) 4

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Use Runge-Kutta 2nd order to find y at x=2, given that Fill in the table below with your result?…

A: Introduction: The formula of the second-order runge-Kutta method is given by, k2=hf(x0+h,y0+k1)

Q: Jy Find the area of the inner loop of the curve r = 9 cos 0 - 4 by using double integral.

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Q: Find a, b, c such that the following change of order of integration holds: 3 clnx LL f(x, y)dydx =…

A: The given integral is                 ∫13∫0ln xf(x,y) dydx

Q: a) How many binary relations exist on an empty set

A: To find: number of binary relation on given set. Please post the multiple questions separately. Here…

Q: Jesaki Inc. is trying to enter the widget market. The research department established the following…

A: Price P(x) = 60 - 1.2x Cost, C(x) = 210 + 12x Revenue = x*P(x) = x(60 - 1.2x) R(x) = 60x - 1.2x2

Q: Maximize z = 8x + 2y, subject to the following constraints. (If an answer does not exist, enter…

A: Given the equation: z=8x+2y constraints: 2x-5y≤10; -2x+y≤2; x≥0; y≥0   To find the maximum value of…

Q: Given the power series expansion 8 x²n+1 tan ¹(x) = (-1)" 2n + 1 n=1 determine how many terms N of…

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Q: Use the trapezoidal rule with five intervals to evaluate the integral i √√√-1da, correct to four…

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Q: 2. The value of ¹₁ a) a O b O C O d [Tn (x)]² √1-x² dx = ..., for each Chebyshev polynomial Tn (x),…

A: Here is the answer in the image below.

Q: Q5) Find the Fourier transform of: x(t)= ={Cos (nt/ (Cos(nt/t) for t| <} . elsewhere) Sketch X(f)…

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Q: 2. Another famous puzzle used as an example in the study of artificial intelligence was compiled…

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Q: Determine the Fourier series of the following functions. (a) f(x) = { 3 -2 ≤ x ≤0 0 < x < 2 (b)_ƒ(x)…

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Q: 4) Determine if the following statement is true and either prove it or provide a counter example:…

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Q: Show that if b0 = 0, then (g^xm)≡ 1 (mod p). Q2: Show that if b0 = 1, then (g^xm) ≡ p − 1 (mod p).

A: Given: x is a number in the set {0, 1, . . . , 2t} x written as: x = b0 · 20 + b1 · 21 + b2 · 22 + ·…

Q: nf: N→R by f(x) = X x+2

A: