Let m be the number of these remainders which exceed p/2. Then ( #) = (-1)m.

Q: a d What is the neighborhood of A = {a, e} in this graph. b C

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Q: Find the length of a shortest path between a and zin the given weighted graph. b 5 5 4 3 2 C 3 6 5 2…

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Q: How many edges does a tree with 10,000 vertices have? Multiple Choice O 10,002 9998 10,001

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Q: For the conservative vector à = (z², z², 2z(x + y)), find the integral I = fa.dr - along any line…

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Q: (p-1)(q-1) 4 = (−1)|

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Q: (6403 #2 p. 312) Let R denote the region bounded by the curve y = √√9-x² and the x-axis. Find the…

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

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Q: Volterra integral equations: :- t)u(t)dt it

A: In first step , Take Laplace transformation throughout the equation and use some formulas of Laplace…

Q: Show that Ris not standard tupology but s Cufnite to pulogy, compact for the Compact for the

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Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: Given, The function, f(x) = x+1x2+1   at x = 0, 3   We have to find the integral of the function…

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A: San Antonio to Houston 188 mi=3 in  So, distance from Dallas to Houston is 188*3.75/3 = 235 mi.

Q: Calculate using polar coordinates: 1-x² x. y. √ x²+y² dy dx So So

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Q: Find the matrix A of the quadratic form associated with the equation. 4x2 - 6xy4y2 + 6 = 0 A = 4 -3…

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Q: find y as a function of x if y''' - 9y'' + 14y' = 12e^(x) y(0) = 15, y'(0) = 26, y''(0) = 26 y(x)…

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Q: 4.4.29. For each of the following matrices A, (i) find a basis for each of the four fundamental…

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Q: Given the function​ below, complete parts​ (a) through​ (c).   q=D(x)=k/xn​, where k is a positive…

A: Given: The demand function is given by:          q=Dx=kxn where, x=price k=positive constant n=an…

Q: dx dt 3 B -1 - 9 -3 X, x(0) = 2 4

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Q: A curve in polar coordinates is given by: r = 9+ 4 cos 0. Point P is at 0 = a.) Find polar…

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Q: point) The velocity of a car is f(t) = 7t meters/second. Use a graph of f(t) to find the exact…

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Q: 2. F(x, y, z) = (2x³, 2y³, 3z²), S is a surface bounded by the cylinder x² + y² = 4, z = 0 and z =…

A: Answer

Q: Differentiate implicitly to find d2y/dx2.   3y2−xy+5x2=5

A: Differentiate implicitly to find d2y/dx2.  3y^2−xy+5x^2=5

Q: Let W be the set of words in the English language. Define a relation R on W by W₁ R W₂W₁ and we have…

A: We are given that,      w1 R w2  <=> w1 and w2 have a letter in common.  Now, it is obvious…

Q: Problem 1: Determine whether graphs G and H are planar or not. To show planarity, give a planar…

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Q: se the disk method to find the volume of the solid formed by revolving the region bounded by the…

A: We have to find the volume of given region about y-axis.

Q: 6.) Give a proper coloring for the two graphs below. Then determine the chromatic number of each.…

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Q: Given ABC. ABC is rotated 270° clockwise around point R. What are the coordinates of A', the vertex…

A: Given:- A triangle ABC is given. △ABC is rotated 270° clockwise around the point R. The coordinates…

Q: Find the volume of the solid that lies within the sphere x² + y² + z² = 16, above the xy plane, and…

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Q: Answer the following questions about the function whose derivative is given below. a. What are the…

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Q: For what interval is the graph of the rational function decreasing? 8 8 4 c) -0 4 -8 a) for no…

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Q: Multiple Choice O This graph can have no Hamilton circuit because of the cut edge {d, f. This graph…

A: Given is graph with 6 vertices "a" to "f".   Identify the correct statement from the following:   1.…

Q: Suppose you have a deck of 52 cards. a. How many different 5-card hands can be chosen from this…

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Q: Suppose that f(x) and g(x) are given by the power series f(x) = 7+ 4x + 3x² + 3x³ +... and g(x) =…

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Q: Solve X x (t) = y(t) = - 17 ²7] [7] (0) - x (0) = 4, y(0) = 19

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Q: Find the equation of the line that best fits the given points in the least squares sense. (0,0)…

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Q: in E use Leibnitz rule to convert the first kind to a second kind and solve the resulting equation:…

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Q: Consider the parametric equations (t) = cos(t) +2 and y(t) = 4 sin² (t), for 0 ≤ t ≤ 1. x A.…

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Q: Find a 3 x 3 matrix • The vectors V₁ = satisfying the following properties: • A has two eigenvalues:…

A: The given problem is to find the matrix A for which the given eigenvalues and corresponding…

Q: Find all solutions to the following congruencies A.) 2x+3=7 (mod 9) B.) 2x+3=7 (mod 10)

A: Congruence: For some positive integer n, two integers a and b are said to be congruent modulo n if…

Q: Evaluate the line integral by the two following methods. fxy dx + 2 dx + x²y³ dy C is…

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Q: State the equation of f(x) if D = {x = R | x*} and the y-intercept is (0, 2). a) f(x)= x-1 3x - 2 O…

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Q: Use the Divergence Theorem to evaluate the surface integral £ſ¸F · ds . F = (4x + y, z, 8z − x), S…

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Q: Wind engineers have found that wind speed u (in meters per second) at a given location follows a…

A: 1st we will find value of integral to find probability of v  and then apply limit to find…

Q: The relation ⊆ is a partial order on the set T = {{1, 3}, {1, 2, 3}, {1, 2, 3, 5 }, {1, 2, 3, 4, 5…

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Q: How many vertices and how many edges does Kn have? Multiple Choice O It has n vertices and n(n-1)/2…

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Q: 00 -1 0 0 3 Find v where Av = Av for some value X. Let A - -5 0 0 Av = = Av for v= and A = In file…

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Q: Let R1 and R2 be two different relations on the same set A. If R1 ∩ R2 is symmetric then R1 and R2…

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Q: Does the equation 10m= 50n have any non-zero integer solutions? Justify your answer.

A: Given: Equation is  10m= 50n

Q: Find the work done by F over the curve in the direction of F = 2xyi + 2yj-yzk r(t) = ti+t²j+ tk,…

A: Formula for work done is  W=∫abF.r'dt Where F=F(r(t))  We have  F=2xyi+2yj-yzkr(t)=ti+t2j+tk, 0≤t≤1…

Q: A 40-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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