prove the parallelogramequlity:

Q: A man has 5 blue and 4 yellow balls in a bag. Without looking in the bag, he takes out a ball,…

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Q: Find the demand function p, given the marginal-revenue function dr/dq below. dr 2 = 207 - 7q-1.2g bp…

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Q: s a Roots of Complex num

A: Let       z=717.925+j126.589

Q: or the following exercises, convert the rectangular equation to polar form and sketch its raph. 58.…

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Q: find the value of the following zero sum game: (; ::). 3 7 6 5 0 6

A: We have use dominance rule to compute value of game.

Q: 4.1.1. Definition. A separating set or vertex cut of a graph G is a set S C V (G) such that G – S…

A: Let K(G) is the vertex connectivity, which is the minimum size of a cut set of G. And δ(G) is the…

Q: The function 1. f(z, y) 4+4z + 4y can be expressed as a Taylor Series about z = 4. y - 5 ie. %3D 1…

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Q: Q4/ Solve the differential equation b) = v1+ sinx(1+ y?) when y(0)=1 dx

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Q: Consider the function f(r) = The value of f'(0) is: (r+1)2 (a) 1 (b) -2 (c) 3 (d) None of the above…

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Q: Question A7 Calculate the flux of the vector field F = (0, z, y) through the surface E: x = 2u?v? E:…

A: Value of the flux depends on the normal direction. So it may be positive or negative .

Q: (-41) (sin(21) – cos(21) )²

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Q: Q4/ Find the centroid of the shaded area shown in figure below. b

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Q: Let Z be a complete graph with n vertices. What will be the domination number of R? Why?

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Q: The table al Number of voters 1st choice 2nd choice 3rd choice 4th choice

A: Count the number of votes for the first choice A:15 B:5 C: 15 D:9 There is a tie between the…

Q: 38. Let 2 = R0, the space of all sequences of the form w = (x1, x2, ...) (**) %3! where x; e R. Let…

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Q: Solve the given ODE using Laplace Transform a. y" – 4y' + 3y = 6t – 8; y(0) = 0, y'(0) = 0 |

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Q: Section 2.4 In Exercises 1 and 2, we consider the system da = 2x + 2y dt dy = x + 3y. dt For the…

A: According to rule of bartleby We can solve only 2nd question if you want answer of other kindly…

Q: 8. Find the indicated term of each harmonic sequence. 26 dai 1 1 1 1 a. 5'8' 11' 14' 10th term ... 1…

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Q: Determine the Laplace transform of the function F(t) = t^l.5 exp{-2t}.

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Q: 48. If a number is selected at random from each of the sets {1,2, 3} and {3, 4, 5}, what is the…

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Q: determine whether multiplication by A is one-to- one by computing the nullity of A and then applying…

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Q: Find solutions of the following equations b 4. 22+ af af 5. у- af = 0 = 0 dt dy

A: We will use method of  characteristics to solve the 1st order given differential equation

Q: 4 Using the Alternating Series Remainder Theorem, determine the number of terms N required to appro…

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Q: -. Consider the equation dy k -y = 0 dt2 for the motion of a simple harmonic oscillator. (a)…

A: Solution :-

Q: 4) Using Newton's Method (must show complete work for all equations and estimates used. a)…

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Q: Let A be an m x n matrix over R. We define NA := {x € R" : Ax = 0}. Na is called the kernel of A and…

A: We can solve this using definition of kernel

Q: Find the roots of the following using the indicated method|f (x)| < 0.0001 2. f (x) = e2 + e – 1,…

A: The Regula Falsi (also known as the false position) method uses the formula:…

Q: For the following exercises, find rectangular coordinates for the given point in polar coordinates.…

A: To conversation from polar to rectangular coordinates is given by : x=rcos(theta) y=rsin(theta)

Q: 1. Let P(r1, y1) be a point on the parabola r? be the angle between the parabola and the line…

A: angle with a curve at a point means angle with tangent line at that point of curve .

Q: 1. A large hotel is selling off its beds, before replacing them with new ones. There are two sizes…

A: Write four inequality in x and y representing the constraints :-

Q: а + 26 +3с- 2d %3 6 За +25-с + 2d - 4 2а -b - 2с-3а%3D2 2а- 3Ь +2с+ а 3D8

A: To solve given system of equations we use the gauss - Jordan elimination method.First of all we…

Q: 3. Consider a set of numbers B = {n E Z|1<n < 900} Answer the following questions. (a) How many…

A: Given a set of numbers B=n∈ℤ|1≤n≤900. a. To find the number of elements in B divisible by 4 or by 9.…

Q: Is it the case that for propositions p, q and r, (p q) ((pV r) (q V r))?

A: To show that for preposition p, q and r , the given case satisfy or not .

Q: 1. Prove rigorously that the following limit does not exist lim arctan x-0

A: limx→af(x)≠L: There exists ε&gt;0 such that for every δ&gt;0, there exists x such that…

Q: a+ 2b+3c-2d =6 3a + 2b -c+2d = 4 2a -b-2c-3d = 2 2a - 3b +2c+d =8

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Q: Determine whether each graph is bipartite. Show your work using two subsets to support your answer.…

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Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

A: Given that the depth (in feet) of water at a dock changes with the rise and fall of tides. The depth…

Q: You are the city planner in charge of running a high-efficiency power line from a power station to a…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: 2. Let C be an open (upper) semicircle of radius R with its center at the origin, and consider J…

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Q: 2. A store has requested a manufacturer to produce pants and sports jackets. For materials, the…

A: We will find common solution region of given in equation  x+1.2y≤6602x+y≤1026x≥0 ,y≥0

Q: At the beginning of the week a forecaster estimated the probability of having rain on Tuesday as 0.5…

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Q: (a) 8) Show that F = (y? - 4r, 2ry - sin(y)) is conservative. (b) Find a potential for F from part…

A: Here we use the partial derivatives to find the potential function and use the fundamental theorem…

Q: Using the Alternating Series Remainder Theorem, determine the number of terms N required to…

A: From the given series  an=1/(n^4) we have to find the approximate error  within 10^(-9).

Q: Let (R, O, O is a ring under two composion e and O as follows ü e i = a + b + 1 and aOb = ab + a + b…

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Q: (s- 2)* S +35 -S-3 (s² +2s +5) Ans. f(t)=e"(cos(2r)- 2t sin(21) 22) F(s) = %3D s-7s' +14s -9 (s – 1)…

A: We can solve this first using partial decomposition and then find out Laplace inverse

Q: Res Show that T is a linear transformation by finding a matrix that implements the mapping Note that…

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Q: 1 -2<x<0 Find the Fourier transform of the function, f(x) = • (-1 0<x<2

A: I have used formula for Fourier transform.

Q: For the cost function below, where C is the cost of producing x units of a product, find the…

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Q: Find the inverse of the matrix by utilizing Gauss-Jordan elimination. |1 2 -2| |1 1 1 1

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Q: How many numbers between 11 and 200 are exactly divisible by 7? Find their sum.

A: The nth term of an arithmetic sequence is calculated using the formula: tn=a+(n-1)d. The sum of the…