2x 1- if 0

Q: Verify Stoke's theorem for the vector fi

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Q: Find the area to the

A: Given, the left of z=-1.96 or to the right of z =1.96.

Q: Find the standard matrix for the reflection T of R'in r= 21 the line {y=-t. Your work must be shown!…

A: The solution is below.

Q: Prove using weak induction that: For any convex polygon with n sides (n ≥3), any triangulation…

A: now if we look at this procedure This is strong induction. Let Φ(n) be the statement that all…

Q: Question 9 Let L be the line passing through the point P-(3,-5, 4) with direction vector d=[-3, 1,…

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

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Q: Show your work for each problem. For the data points (1,0), (2.0.693), (3.1.099), and (4,1.386): 1)…

A: Please upload the multiple parts separately.Here i answered 1st one i.e, (1) as per our policy.

Q: 1- Find the first derivative of y with respect to x for the following functions: In5 7x a- y = log5…

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Q: Find the following: A1X B-1. 3 4 B = -2 71 A = -5 3 -8 -5 -0.14 -0.37 A-1 x B-1 -0.48 -0.15 -0.14…

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Q: {3*} |리 > 3 z – 3 |리 > 3 z – 3 - |z| > 3 z + 3 - Z |리 > 3 z + 3

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Q: 11 A ball was thrown uphill from the base of a hill inclined at 30° to the horizontal. The initial…

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Q: How to found out that for insertion sort the worst-case running time is of the form an2 + bn + c?

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Q: Find the Laplace Transform of 10 + 5t +t- 4t

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Q: cos(s")dtds

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: x – 2 dx 2

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Q: Determine the area of a spherical triangle ABC if A = 120", B = 85° and C = 76', if it has a radius…

A: We have to find the area of the given spherical triangle.

Q: Theorem 3.58. Let Tbė a normal operator on a Hilbert space H, then x is an eigenvector of Twith…

A: To prove: If T is a normal operator on a Hilbert space H, then x is an eigenvector of T with…

Q: Find the exact length of the curve x = t sin t y = t cos t for 0 <t< 1. You may use the following…

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Q: Question 16 Consider the following IVP: y"-y = 4cos t; y(0) = 0, y'(0) = 1 Find the general…

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Q: Determine whether each improper integral below converges or diverges. a dx 2. S Vax -

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Q: Decompose A into QR. A = 7 - 1 Determine the following: 92 = %3D 9 2 "12 = "21 22 Instructions for…

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Q: Suppose p= 5x?+2x +3o figure out the coor olicuate relative to the follewing basis for 29 pi =i, Pz…

A: Given p=5x2+2x+3 and basis  p1=1p2=1+xp3=1+x+x2

Q: How 1지 - (지f f. ① Find the derivative for dhe follawing funedions? is f(x) Gntimeug ? (b) x-1 영 In()

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: In Exercises 1-4, let S be the collection of vectors in R? that satisfy the given property. In each…

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: Let f(n) = n and g(n) = log2 n. Show that g e O(f) but f ¢ O(g).

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Q: Theorem 3.1. Let V be an inner-product space and vectors x, y e V, then | (x, y) |< || x || | ||.…

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Q: Question 7 MO21. A particular brand of diet margarine was analyzed to determine the level of…

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Q: Which of the following is the general solution to the differential equation (3х — у + 6)dx + (6х —…

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Q: Using principle of mathematical induction, prove that 3 + n n(n + 1) 2 1° + 2° + 3° + •....

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Q: 4. UMNIA If the function h: [a, b] → R is bounded, Riemann integrable and satisfies h(x) > 0 for all…

A: Here given h:a, b→ℝ is bounded and Riemann integrable and hx≥0 for all x∈a, b, Then we have to show…

Q: Find the solution: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b

A: We have to find the solution to the given equation.

Q: Question 2 In this question we are considering the vector space P2, which is the collection of all…

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Q: QUESTION 5 Find AxB (Matrix Multiplication). 3 -2 4 -1 -4 1 0 -2 -3 A = F[23-14 1 0 -4 2 3 -1 4 3 2…

A: In order for matrix multiplication to be defined, the number of columns in the first matrix must be…

Q: 9. z + j/2

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Q: Given the matrix below and its corresponding rref(A) and rref(A') 1000 2 -1 -3 (10000 8 0100 3 A = -…

A: Use the given information.

Q: What is the general solution to the differential equation dx dy 3Y = x*yi? -

A: Given differential equation is dydx - 3yx = x4y13

Q: 86s - 78 Find the Inverse Laplace Transform of T+3)(s-4)(5s– 1) 4r A - 3e 5+2e*+e 5 B 4e -3 - e4 – e…

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Q: State whether each of the following series converges absolutely, conditionally, or not at all. n…

A: Given series is ∑n=1∞(-1)n+1nn+3

Q: Determine whether the lines Lj and L2 are parallel. L1: x = 1 – 2t, y = 2 + t, z = 5 – t L2: x = 4 –…

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Q: et P be a projection of a normed linear space

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Q: 4. ".p>-1

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Q: Find the Laplace Transform of (t? +4t + 2)e* 2 (A (s – 3) 3' (s- 3)² 's-3 4 2 B (s – 3) 3 (8 – 3) 2…

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Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

A: Solution :-

Q: 5.43. -- ("*)(*") = ()- in (m+n+: sk=-m r+s+1

A: We have to prove given relation by using counting argument.

Q: There is no clause that, when resolved with itself, yields (after factoring) the clause (¬P∨¬Q).

A: Design a truth table

Q: 2. Suppose that V and W are vector spaces over F. Consider the cartesian product V x W, with vector…

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Q: Consider the following IVP: y" +y' = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) =…

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Q: norn rmed M Y is closed if and only if the

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Q: n! {(-1)" (2n)!,

A: Given sequence is -1nn!2n!

Q: ... .......s ..... ...

A: Let's take first class tickets as x, where x &gt; 25 Coach tickets as y, where y &gt; 40. On each…