7. Prove: For neN and F, the nth Fibonacci number, =Fn+1 (1) + (7¹) + ("z ²) + (~³²) +--+ (0) = ² 2 n

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A: We have to use the first thirteen rules of inference to derive the conclusions of the symbolized…

Q: Given the graph of g(x), sketch the graph y=f(2x+2)-3.

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Q: 8. Si 0. si xo < 0. si xo = 0

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Q: 4. (4 points) Given that tan (0) and cos(0) > 0, find sin(20) and cos(20). = 1 3⁹

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Q: 1 Express the following in integer or rational form 64² × 273 x

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A: Given,we have to approximate the integral using the Trapezoidel rule.

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Q: 10 Consider the function f(x) = 5x¹0 + 7x³ – 6x¹ – 4. Enter an antiderivative of f(x). Do not enter…

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A: Let's consider a 3x3 matrix A:To interchange the ith and jth rows, we can use elementary row…

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A: We have to find a primitive root of 41.

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Q: HD XIXTONY Consider the following matrix and answer the following questions: A = IND any…

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Q: 14. Find the general formula for the following sequence 4, 12,36... 15. You take a loan on a $12000…

A: We have to solve the question 14 and 15 The solution of both the questions is given below

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Q: Evaluate the derivative of f(x) = (arctan(x))4ª

A: .

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Q: Hello, hoe about #2

A: The given function is in branch We can find Laplace transform by defination .

Q: 2 y² - x² = 9 a) Sketch the graph of the equations in three dimensions and identify the surfaces.

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Q: 1. Find a primitive root modulo 23.

A: We have to find all primitive roots modulo 23.

Q: Let G be a group and let H and K be normal subgroups such that Hnk= G/H x G/K be the map o(g) = (Hg,…

A: A mapping from a group (G,o) to a group (G',o') is called a homomorphismif f(aob)=f(a)o'f(b)where a,…

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Q: 2 tsh + ₂ s it se + laplace transform 5+6 -4 Inverse

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Q: 3. Let X and Y have the joint distribution as indicated in the following table: X=0 X=1 |Y=0 1/3 0…

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Q: Suppose A is a 5 x 5 matrix such that [30] 20 A 25 15 15 = 4 5 3 3 Find an eigenvalue of A.

A: Given that is a  matrix such that .The aim is to find the eigenvalue of .

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Q: Suppose a student correctly found an eigenvalue, X, of the matrix numbers. 8~[18] 0 (i) What…

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Q: Calculate the N-point DFT for the following sequences: a. x[n] = 8[n 1] +8[n-6], N = 8 |a|<1, N = 4…

A: We need to calculate the N point DFT for the sequence for given N.

Q: 3. Let R be the region shown. a) Set up an integral in polar coordinates to evaluate ff xydA R -3…

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Q: Do not Claim ( For all real numbers a, b, c, and do if a = (b +c+d)/3, then either (2b + c) ≤3a, or…

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Q: Consider the initial value problem y" + (1/3)y' + 4y = fk(t), y(0) = y'(0) = 0,

A: The given differential equation is:, where

Q: Given that the graph of f(x) passes through the point (6, 3) and that the slope of its tangent line…

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Q: 3- Suppose u, v EV and||u|| = ||v|| = 1 and = 1. Prove that u = v

A: Given: Vectors  such that ,  and .To prove that .Concepts used:Properties of Inner Product Spaces:…

Q: Which of the following sequences (₂) have a convergent subsequence? Xn = n xn = (-1)" (-1)" n Xn =…

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Q: Estimate the area between the function f(x) = 5x2 + 4x + 6 and the x-axis on the interval [4, 10]…

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Q: Determine a mapping of the form (x, y) (_) from y = f(x) for each of the following. y = 3f(2x)…

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Q: Consider the following vectors: --8-8-8 W2 = 0 Enter the vector n in the form [C₁, C₂, C3]: = 0 V =…

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Q: Given ƒ"(x) = 7x +5 and ƒ'(0) = −2 and ƒ(0) = 1. Find f'(x) and find ƒ(4) =

A: Given,this is the required answer of the given question