Find the Fourier series representation of sin 2x, -n

Q: The Wronskian of the vector functions X= e2 and X3= Select the correct answer. 45e -55e 45e -45e-6 O…

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Q: If a line is parallel to the vector 6i + 7j+ 2k and passes through the point P= (5, 1,7), then the…

A: Given that a line is parallel to the vector 6i+7j+2k and passes through the point P=5, 1, 7. We know…

Q: 1 (1 +sint) oz/gal flows into the A tank contains 420 gallons of water and 50 oz of salt. Water…

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Q: in a graph What is a bond ? And give an example

A: To define bond in a graph.

Q: dy y cos x+sin y+y-0 Solve the followin 1. dx 0. differntail equati %D sin x+x cos y+x

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Q: Solve the differential equation y"ty=tan'x

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Q: 2 + Vn2 00 1+ Vna n=1 is convergent if and only if: Select one: 144 а. а > b. a 4 d. 35 a < 4 e.…

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Q: Select all the real numbers M among the choices below such that the two planes given by r: -2 = 2 -2…

A: We have to select all the real numbers M among the choices given.

Q: 2 What is the length of the missing leg? 15 m 9 m a = meters

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Q: 3. (a) Use triple integral in spherical polar coordinates to find the volume of a unit sphere. (b)…

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Q: Carbon Dioxide Emissions Carbon emissions contribute to climate change, which has serious…

A: Given: The amount of CO2 emitted per year A (in tons) for a vehicle that averages x miles per gallon…

Q: Use the power series 00 1 1 + x 2(-1)^x^, \x| < 1 n = 0 to find a power series for the function,…

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Q: Consider the differential equation (E): x'y"- xy' +y 0. Given that y, = x is a solution of (E), then…

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Q: 4. Which of the following is definitely not eligible for like- kind exchange treatment under I.R.C.…

A: Solution

Q: b). Solve the following ODES using any appropriate technique y = (2y* + 2x) y'

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Q: Consider the following three matrices 1 1 0 0 1 1 A = B =| 0 C = | 0 1 0 1 2 1 1 0 0 1 0 1 1 Matrix…

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Q: Given the solid E that lies between the cone z? =x2 +y? and the Question 1! sphere x2 + y2 + (z -…

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Q: # of Vertices # of Edges # of Faces faces at each vertex sides on each face Tetrahedron 4 6. 4. 3.…

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Q: Q1: Determine the coordinates of point N (zero, ?, ?) located on the line AB where: A(-4,5,6) B…

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Q: When a fluid flows over a surface, the shear stress T (N/m²) at the surface is given by du T = H- dy…

A: Given : the shear stress τ N/m2 at the surface when a fluid flows over a surface is given by…

Q: |5πx 106 (4π10-7) [1+ j]J 4

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Q: what is the edge - connectivity in a graph ? And give an example

A: Edge - Connectivity in a graph : Let ‘G’ be a given connected graph.Then the minimum number of edges…

Q: Qs: Solve the fallow ing differential equations 2.

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Q: The series 32n-54-1-2n is n=1 Select one: а. is a divergent geometric series. b. is convergent but…

A: Geometric series, find the series of converges

Q: 1. The point P on the unit circle has coordinates (1,0). For each angle of rotation, state the…

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Q: Chickens have the greatest population among the species of birds because they are used as poultry.…

A: Since we know the exponential growth model is P(t)=P0ert where P0 is the initial population and P(t)…

Q: from a deck of 52. A number card is one with value 2, 3, 4, 5, 6,7,8,9 or 10 so there are 36 number…

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Q: (zx" xy') dx -3xy dy 2-

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Q: Fundamental Theory

A: Follow the steps.

Q: Find the expansion of (2x-3)6 using Binomial Theorem.

A: Here we use combination to find the coefficients in the expansion of given polynomial and use…

Q: lve the following first order differential equations (

A: Given,          (x-2y)dy+ydx=0

Q: Work Problem .. Question 1 2-. a) ]: Show your work. <]: Determine whether the series 1 Σ n=1…

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Q: 2. Find the Fourier series expansion of: So. sin zr, 0<r<1 f(z) = and then use it to find the values…

A: Solution :-

Q: Q3: Construct a 3rd order Lagrange polynomial of the function f(x) = Inx.cosx where x e [1, 4]. Then…

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Q: Which of the following series is absolutely convergent? 4 n 7 n=1 21 n 8. n=1 None of them. (-1)" n…

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Q: 1. Consider arbitrary real-valued functions f and g. Mark each of the following as true or false.…

A: 1 a)  False f(x) = O(g(x)) means that there exist two positive constants, x1 and c, such that 0 ≤…

Q: Let F= (y,x,z) and C be parameterized by r(t) = (cost, sin t,-5), for 0 sts2x. Evaluate F-dr by parE…

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Q: Which of the following statement is false? Ta) The ring (Q, +, .} is an integral domain. (b) The…

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Q: 3. (.J 6) For two vectors u = [1,0,0]" and v = [1,1, 1]", find a third vector with unit length such…

A: Given: Lt us consider the given, u→=1,0,0v→=1,1,1

Q: Find the surface area of the plane ( 15x- ? 5z+20y=D35) if it is in the first octant

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Q: Prove that f(x) = (x - 1) + (x+1) is an even function. A function k(x) is an even function if…

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Q: The center of a windmill is (0, 0) and it has 5 blades, each 1 meter in length. A point P is at the…

A: We will find relation between θ and position of point P . Then find values from graph

Q: Q4) Q2) t" ( by definition) find Laplace transformation

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Q: Q8. Determine u(0.4), using the fourth order Runge-Kutta method, given that u' =, u(0) = 1. Compare…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Given plane is 15x−5z+20y=35. We have to find the surface area of the given plane if it is in the…

Q: Using 7 consonants and 5 vowels, how many words consisting of 4 consonants and 3 vowels can be…

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Q: Suppose z is a function of x and y. Solve for ∂z/∂y if tan √(y^2 + x^2 + z) = z^(x)e^(6y).

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Q: find Inverse Loplace transformfor:- (3+3)*

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Q: 3. Identify the relative maximum/minimum points and points of inflection of f, if any.

A: This is an application of Differential Calculus.

Q: 6. Let {fn} be a sequence of measurable functions on E = (0, 1] satisfying %3D Prove that the…

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