What is the time complexity of the following function: f(n) = 100 - n O o(n?) O O(nlogn) O O(n) O O(log n)

Q: Determine whether the set S spans R2. If the set does not span R2, then give a geometric description…

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Q: Consider the following maps from the closed unit disk D = {(x, y) E R? : x? + y < 1} in R? to…

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Q: 1. Write down the first six terms of the Fibonacci sequence defined by Fn= Fn-1+ Fn-2, when F1=0and…

A: This question related to fibonacci sequence and pascal's triangle. Solution is given below.

Q: Solve: y/" – 4y" + 53y = 0 O y = C1 + C2e cos2x + C3e-7* sin2x 7x O y = C1 + C2e cos2x + C3 e7"…

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Q: 2. Use the Mean Value Theorem to show that f(r) = 2r sinh(r – 1) +2" – r %3D has a critical number…

A: The given function is: f(x)=2xsinh(x-1)+2x-x. To show: f(x) has a critical point between 0 and 1.

Q: Evaluate the line integral by the two following methods. "line integral"xy dx + x2 dy C is…

A: Evaluate the line integral by the two following methods.  "line integral"xy dx + x2 dy C is…

Q: f (x) = e2* if x> 0 The Fourier transform of the function: 0if x<0

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Q: Jae sIT expressed what IS rectangular firm? in A. -I tiì C - B 1- D. Ja -i

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Q: 2. Use the Mean Value Theorem to show that f(r) = 2r sinh(r - 1) + 2" – r %3D has a critical number…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 9/3 and whose components have…

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Q: 1. Using a Maclaurin series, evaluate the integral shown below to an accuracy of 0.0001: sin x – x…

A: To evaluate , I = ∫01sinx - xx2dx

Q: The following properties are true EXCEPT A. 51 2l = lsl l2 C. 2= D. 1 + 22 = 3T + 32

A: To identify which of the given property of complex number is not true.

Q: Show Vx Vy[p(x, y) → ¬p(y, x)] E Vx¬p(x, x)

A: Please check the answerin next step

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (7,…

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Q: x R y in R if | x |=||

A: we have to find the relation R where R is defined by x R y in ℝ if x=y, equivalent or not.

Q: oss product between Á = and B =.

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Q: 11. Convert the cylindrical coordinates (4,,-2) to rectangular coordinates

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: (ii) 42?у" + у — 0. 4.x

A: Consider x=et and differentiate to obtain the expression of dtdx . x=ett=lnxdtdx=d dxlnx=1x Break…

Q: c. Identify the critical numbers of f and the possible points of inflection of the graph of f. d.…

A: c) Equate the first derivative to zero to find the critical numbers. xx+8x-2x+23=0xx+8x-2=0x=0 or…

Q: Test the series below for convergence using the Ratio Test. In(n) 6h n=2 The limit of the ratio test…

A: There are many methods to find the convergence and divergence of a series. One among such method is…

Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

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Q: 7 converges or diverges. If it converges, find its sum. Determine whether the series 3m m 2 Select…

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Q: Fit a least-squares parabola having the form y = a + bx + cx2 to the given data. X 1.2 1.8 3.1 4.9…

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Q: Is this statement true? If Ax = b has a solution for b, then A must be invertible.

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Q: Evaluate ydA R where R is the region bounded above by the line y 3, on the right by the circle (x -…

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Q: How many binary strings of length 10 are there in which the number of 0's in the string is not equal…

A: We have to find the numbers of binary strings of length 10 are there in which the number of 0's in…

Q: Find the inverse of laplace, f(t) if: 8s2 + 12 9.F(s) = Ts - 2)²(s – 4)* (s – 2)²(s – 4)*

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Q: Part III: Use the graph of f(x) to sketch y = f(x) 5 4 하 2 6 -5 -4 -3 -2 123456 -3 4 -하 -6

A: Given: y=f(x) To draw: y=0.5f(x)

Q: (-1)"x²n (2n)! 1. For all x € R, cos ax = n=0 (a) Find a power series that is equal to x cos(x²) for…

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Q: Does the function appear to satisfy the hypotheses of the Mean Value Theorem on the interval [a, b]?…

A: The Mean Value Theorem says that there exists a point c in the interval a,b where f'c equals the…

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 0 2 5 1 A = 3 7 2 7 15 6 -2 2 -2 6. 1 0…

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Q: Upload your solutions here for the following problems on Determinants. 1) 3 6. 1 -2 3 1 4 A = 1 -1 1…

A: To find the determinant

Q: 4.x – 6 Let f(x) = 1- - (2x – 3)³* (a) Find the Taylor series representation for f about x = 1.5…

A: This is a problem of Taylor's Theorem.

Q: For f(x)= (n+g/x)*m * , find f'(0.1) and f"(0) correct to three decimal place n = 17 g = 4 Use…

A: Given f(x) = 17 + 4xsin(x) The value of table for x and y x -0.2 -0.1 0 0.1 0.2 0.3 y 0 0 1…

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Identify the type I error and the type Il error that corresponds to the given hypothesis. The…

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Q: Using Gauss-Seidel Method, obtain the solution to the system; x1 + 5x2 + 3x3 = 30 %3D 3x1 + 7x2 +…

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Q: Let f be the function graphed below. If 10 subintervals of equal length are used, write a summation…

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Q: If possible, give an example of an element of Ag that has the given order; if there is no such…

A: According to the guidelines i solve first 3 subpart so kindly request you to repost the remaining…

Q: The law of transportation for a covariant vector is transitive.

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Q: r(r+8)(r – 2) (r+ 2)3 -4r2 8(7r - 4) (x +2)4 f(r) : (r+2)2 ' with f'(r) = and f"(r) = %3D Find the…

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Q: Find Duf at P f(x,y,z)=4x^3y^3z^3;  P(1,−2,1);  u=1/3i+2/3j−

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Q: Consider the following functions. f,(x) = 2 + x, f,(x) = x, f(x) = x² g(x) = c,f;(x) + czf2(x) +…

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Q: (-1)"x²n (2n)! 1. For all x € R, cos ax = n=0 (a) Find a power series that is equal to x cos(x²) for…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: To find the volume of the tetrahedron whose vertices P , Q , R and S are given .

Q: Find the volume of the paraboloid, z = 9 – x2 - y², that lies inside the cylinder x2 + y? = 4.

A: we know the volume of any surface is given by ∬∫EdV ,where E is surface inside the cylinder x2+y2=4…

Q: 10. Given à = 5î – 2ĵ – 2k and B = 4î + ĵ – k, compute Proj A. %3D

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Q: H.W": Given the following table find x3, fo.Af.Af2,Af. Afo Afo Afo fo A²fo 30 1.666 4 20 Af1 2 2 Af2…

A: We can solve this using given information