exponential functio

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A: Here  from the graph we see that from  there is a oscillatory graph , and from  there is exponential…

Q: Pick two random vectors in R³ (no zeros - few repeated numbers) and call them u and 7. Compute the…

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Q: Use the divergence theorem to evaluate the surface integral F. N dS where F = xy²i+yz²j + zx²k, S is…

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Q: Find the interval I and radius of convergence R for the given power series. (Enter your answer for…

A: For a given series we have to find the interval and radius of convergence.

Q: Find the Fourier series for extended to a 2π-periodic function. ao N + an cos(nt) + bn sin(nt) = ∞ ∞…

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Q: 3. Display an argument to show that the Gamma Function is defined for s> 0. = 6²°0 e-p₁-1α dt T(s) =…

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Q: Write the system given system of differential equation in matrix form. Y₁' = 3y₁ + y2 + 3 sin(4x) Y2…

A: Given, system of differential equations,

Q: Write the dual of (P). Solve the dual model using the graphical solution method. Solve (P) by using…

A: Given Information:Subject to To find:5) The dual of LPP.6) Optimal dual solution using graphical…

Q: Suppose a subspace is spanned by the set of vectors shown. Find a basis for the subspace, using the…

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Q: Consider the following initial value problem. 0 1 ≤1 12 1 ≤ 1 < 6 0 6 ≤ 1< 00 y' + 3y = y(0) = 10…

A: The Laplace transform of a function f(t) is defined as L{f(t)}=∫0∞f(t)e−stdt .Formulas: (1)…

Q: Find the eigenvalues making sure that each 20 = Yn(x) = and eigenfunctions yn(x) for the given…

A: Here c1,c2 are arbitrary constants.

Q: 2. Is R bounded with respect to this metric? 3. Compare the open balls B(0,2), B(0,4), and B(1, 4).…

A: Sequential compactness.

Q: Find the absolute minimum and absolute maximum of f(x, y) = (9x² − 1) (1 + 4y) on the rectangle…

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Q: Suppose that a large mixing tank initially holds 100 gallons of water in which 50 pounds of salt…

A: Let A(t) be the amount of salt in tank, then  is the rate of change of the amount of salt in the…

Q: ints A-F in the figure. 100 M M 19 04 T NO | સ A 0= JU 4 0= 1 2 3 4 5 E 6 X Select all that apply.…

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Q: on ) Consider the topology r = {GCR:0€ Gor G=0} o R. Is [0, 1) compact in (R, 7)? Explain why.

A: Given, topology  on defined by, Consider the open cover of  in Since, is open set in  for every…

Q: 4. Let S be a sphere of radius r and P a point inside or outside the sphere. Show that 1 √√₂₁ P |dx|…

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Q: Let f(x) = |x|+|x−2], x € R. Find points where f is not differentiable.

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Q: (14) Let G be a finite cyclic group of order n with identity element e. Prove that if a € G, then cd…

A: The order of every subgroup of a finite group G is divisor of the order of G.

Q: Use the convolution theorem to obtain a formull y"+y=g(t): y(0)-0. y(0)-3

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Q: Use the transformation u = x+y,v=x-y to set up the iterated integral located at (0, 2), (1, 1), (2,…

A: Given integration

Q: Follow the steps for graphing a rational function to graph the function F(x)= x² +7x-8 x+2 OC. The…

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Q: Let a = ( 1 2 3 4 5 6 :) 2 1 4 5 6 3 and 3 = 1 2 3 4 5 6 2 4 1 3 65 (a) Find a B(2). Find 6-¹(2). ο…

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Q: A table of values of an increasing function f is shown. X f(x) 10 lower estimate upper estimate 14…

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Q: Calculate P(FIE), if P(E|F) = 0.1 P(E) = 0.92 P(F) = 0.19 Round your answer to five decimals.

A: We have to calculate .

Q: A check-processing center uses exponential smooth- ing to forecast the number of incoming checks…

A: Given information:Exponential smoothing is used for forecasting.Smoothing constant is .Actual number…

Q: 1. What are the formulas for sin/cos Fourier series representation? What are the formulas for…

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Q: In this problem we find the eigenfunctions and eigenvalues of the differential equation d²y dx² on…

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Q: Solution is incorrect

A: We have to calculate the double integral of  over the triangle indicated in the following figure

Q: 3. For m₁ and m₂ numbers, with m₁ { Prove that the function f:R → R is continuous but not…

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Q: Give a basis for span(S), where S is the set given below. 2 (1416 2 -2 4 5 -4 Number of Vectors: 1…

A: (.)  A set of vectors  is,       (.) Basis:  A linearly independent set of vectors which spans…

Q: (a) Convert the point whose polar coordinates are (4, 57/4) to rectangular coordinates. (x, y) =…

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Q: Suppose T: R³ → R4 is a linear transformation with T(e₁) = T(es) = = A = 2 -14 H 5 8 NOTE: e; refers…

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Q: 2. Compute [fs xy dS, where S is the surface of the tetrahedron with sides z = 0, y=0, x+ z = 1 and…

A: We have to Compute ∫∫S xy dS, where S is the surface of the tetrahedron with sides z = 0, y = 0, x +…

Q: Evaluate the integral 3 √√9-x² √√9-x² ! 0 0 3 √√9-x² √√9-x² 177. 0 0 0 0 dz dy dx = dz dy dx. (Type…

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Q: We are interested in the first few Taylor Polynomials for the function f(x) = 4e + 9e¯ centered at a…

A: Given: The function . To find the Taylor polyomials of degree one and degree two for the given…

Q: Consider the system of equations. x₂-3x, +1.9=0 and x₂+x²-3.0-0 The next iteration values for x and…

A: Given as,

Q: Let f be Continuous on the interval [0,1] to IR and such that f(0) = F(1). Prove that there exists a…

A: This follows immediately from the intermediate value theorem.

Q: Laplace transform to solve th-

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Q: -2 8 6

A: The graph has no branch for negative value of x.So, Given function is not defined on therefore, we…

Q: (CONTROL SYSTEM) 1: Direction: solve for y(t) if all initial conditions are zero. Use Laplace…

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Q: Consider the following non-linear system of differential equations x' = xy - 2, y = x - 2y. Note…

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Q: #8: Suppose that an = as 8n a₁²2² +2a₂x³ + 3a3x²4 + 4a4x³ + ... (i) Σf(n)x"+2 n=0 (ii) g(n)x+1 We…

A: This is a good exercise in summation and we shall see how to change the indices.

Q: X y 0 1 You need to find the value of the integral f(x) dx where the following data is available: 1…

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Q: The payoff matrix and strategies P and Q (for the row and column players, respectively) are given.…

A: The payoff matrix and strategies P  and Q ( for the row and column players respectively) areWe have…

Q: Which of the following functions from R to R are invertible? □ f(x) = √√x ☐ f(x)=x5-1 ☐ f(x)=x4 f(x)…

A: The objective of the question is to determine which of the given functions are invertible. A…

Q: Solve the boundary-value problem y" – 6y' + 9y = 0, y(0) = 3, y(1) = 0. help (formulas) y(x) Note:…

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Q: Solve the initial-boundary value problem of the 1-D heat equation: 0≤x≤m, 120, Osast, ( - u(,0)=x,…

A: The temperature distribution  is governed by the one dimensional heat equation…

Q: Find, giving appropriate C and k witnesses, the big-O estimate of the following (i) ƒ(x) = log(6x5…

A: Big-O :It gives the asymptotic upper bound. We say  if there exists a positive constant  and  such…

Q: S ASK YOUR TEACHER Use the properties of logarithms to write the log_(3)(x+8)+(1)/(5

A: The given logarithm