Imagine that there are 700 people that take a train. What is the largest integer k such that you can guarantee at least k people on the train share a birthday month?

Q: Question 97 What does the notion of y(0*) mean in the realm of signals and systems? Choose your…

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Q: (a) J₁ J5 4 2 1 6 3 2 3 A3 7 6 5 8 A4 | 9 6 5 7 As 8 3 5 7 4 A₁ ܠ ܠ ܠ ܠ ܠ A2 125 J1 J2 J3 3 1 +3∞47…

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Q: Consider the following function. f(x) = x¹/3, a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate f by a…

A: The given function is .(a) Find the Taylor series  as follows.Put , then .Differentiate the function…

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Q: 26-6 Consider the matrix A = 0 5 -2 004 Find its eigenvalues. Is it possible to find the eigenvalues…

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Q: Prove that the graphs G₁ and G₂ are isomorphic. G₁ b с 1 2 G₂ 5

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Q: Draw the graph represented by the following adjacency matrix. a b c d e f EDC F a b с d e f 0 0 1 0…

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Q: T T T F 35. If x.y is even, then x is even and y is even. F 36. The negation of an implication is…

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Q: A table of values for f (x) = sin (6x) is given below. X f(x) Use the table to estimate the value of…

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Q: For each of the following subspaces, find a basis, and state the dimension. { (2) a + 3b (i) The…

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Q: Prove that if b and c are odd, then a bc = a a ()) b C

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Q: Let S denote the surface of the ellipsoid 4x² +9y² + z² = 12, oriented i F. ds, so that the top of 5…

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Q: Consider the matrix A Compute A" for any integer n. 26 -6 05-2 4 O

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Q: g? Consider the matrix A = [26 05-2 00 Is this matrix diagonalizable? Can you find it out without…

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Q: write fdA as an iterated integral in polar coordinates. -4

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Q: Show that the correspondence theorem preserves indices. More precisely, if a: G→G' is a surjective…

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Q: Consider the initial value problem y' = y√t over the interval [0, 0.3] with initial condition y(0) =…

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Q: Let a: V → V be a projection, where V a 3-dimensional vector space over C, and suppose that the…

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Q: Three coins are tossed. Find the probability of tossing each of the following events: 1. Three…

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Q: F(x) = F(x) = √5 + sec (31)dt | Hint: F(x)=√5 + sec (38)dt = -- √5 + sec (31) dt) -

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Q: Show that the following graph is planar by redrawing it so that no edges cross. b Ø P с

A: We have to show that the following graph is planar by redrawing it so that no edge cross.

Q: du д-и k Ət Əx² u(x,0) = f (x) = du əx (0,t)=0 ди Əx (L,t) = 0

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Q: Sketch the vector field F. F(x, y) = − ¹-i + (y − x)j 6

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: The set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for…

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Q: Solve i, ii, and iii only

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Q: Let R be the region between the graphs y x³ and y = 4x in the first quadrant. Let f(x, y) be a…

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Q: Verify the Divergence Theorem for the vector field F = (-2, 3, z³) on the sphere x² + y² +2²2² = 4…

A: For the vector functionto verify the divergence theorem over the sphere

Q: SUBJECT: OPERATION RESEARCH Bevco manufactures an orange flavored soft drink called Oranj by…

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Q: V = Span For W = Span ({]-[]}) ({}) and x = find Projw (x).

A: The inner product of two vectors  and  is the dot product of  and . We write the innerproduct of…

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Q: (i) First suppose that Re(zo) 0, we have π/2 0}, so U is the upper half-plane. With 00 as in the…

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Q: [1= So So 4-x-2ykxyz?dzdydx

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Q: 1 2 1 2 X dy dx

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Q: Exercise 11.2.4 Consider R3 as an inner product space with the usual dot product. For each of the…

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