Calculate the integral approximations Tg and Ms for fr³ dx. Your answers must be accurate to 8 decimal places. T8 =

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Q: Using Fermat's little theorem, find the least residue of modulo 389. (Note that 389 is prime.)…

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Q: I need help with this complex variable question

A: 2.{zn​} converges to z if and only if ∣zn​−z∣ converges to 0Explanation:

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Q: 2. Determine the least nonnegative residures modulo 397 of each of the following:! (i) 2396 198) (1)…

A: We use Fermat's Little Theorem to solve this question

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Q: 2. Following is a set of points on the graph of a polynomial function. (-2,-5), (-1, 4), (0,5),…

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Q: 10. Use Laplace Transforms to solve the following differential equation linear with constant…

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A: (i) If , and v=−u then .Consider,Thus, we have proved the given statement. The statement is true.

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A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

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A: We need to sketch the the graph and calculate the equation of a function using the given table.

Q: Find the Laplace transforms of the following functions: (a) f(t)=e³t sin 2t

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Q: 8 Odd Half - Range Extension Create the odd function go(t) by flipping fo(t) 180° around the…

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Q: 13. Calculate the Fourier series in the sines of the function f(t)= t³ in the interval [0]

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A: a1=a0a2=a0a3=2a0/3Explanation:Step 1: Step 2: Step 3: Step 4:

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Q: (a) Prove that Vr € R, ze Q⇒ (x + 1) E Q. Hint: go back to the definition of Q, and show that if a…

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Q: For this question, you will prove that the roots of z² +6z+8.5 are irrational. In other words, that…

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Q: The following function T : R³ → R³ is a linear transformation. (a) Find a matrix A € R³×³ so that…

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Q: Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4) c)…

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Q: 5 Deancorp produces sausage by blending together beef head, pork chuck, mutton, and water. The cost…

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A: Given the system of differential equations.The characteristic equation is

Q: #3: Find the maximum of f(x, y) - 19 In(18x96) +43 subject to x² + y² = 25, x > 0, y > 0.

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Q: Trudy earns $6,300 per month as a vice president at a sales company. Calculate her yearly salary.…

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Q: Y Suppose w = =+ where Y Z 5t, y = 2+ sin (4t), and z = 2 + cos (3t). x = e5t A) Use the chain rule…

A: By using chain rule, we will solve the given problem.

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Q: Decide on the function is uniformly continuous on the interval (0,∞).

A: Decide on the function is uniformly continuous on the interval .

Q: 2. Solve the following Bernoulli equation: xy' = y - xexy²

A: Given differential equation is    This can be written as      Substitute, , then we get   Thus,…

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Q: Find the edge chromatic number of Kn when n is positive integer.

A: We have to find the edge chromatic number of  when  is positive integer.

Q: du du 2- +3 = 0 dx dy 3 - U, tuy = U + Uy u Solution of Partial Di Separation of

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Q: 1 2 I - du dx du - dx = du dy +3 du 一 dy Solution of Partial Differential equation By Separation of…

A: Note: ''As per guidelines we will solve the first question. If you want any specific question to be…

Q: Let R be the relation on a set A = {a, b, c, d} defined by R= {(a, a), (a, b), (b, b), (b, c), (c,…

A: If R is a relation on a set A, then R^2 is the set of ordered pairs (a, c) such that there exists an…

Q: Consider the following all-integer linear program. 1x, 1x₂ 4x₂ + 7x₂ S 27 1x₁ + 6x₂ 5 18 2x₁ + 1x₂ 5…

A: Solve the problem by graphical method:Given constraints are:4x1+7x2≤271x1+6x2≤182x1+1x2≤11Solving:…

Q: Use the variation of parameters to solve the given equation: (a) y" +4y=2cot 2x

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: For the sequence an=-2an-1 and ao = -1, the values of the first six terms are ao = and a5 = a4= , a₁…

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Q: 2: True or false, the vectors u = (2, 4,-2) and U=(4, 8, -4) are parallel. Explain your answer.

A: We have given two vectors,Vectors having the same direction are called parallel vectors.Two vectors…