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Q: Find the volume of the solid generated when the plane region bounded by: y=e^(-x^2 )  and the…

A: The given problem is to find the volume of the solid generated when the given plane region in…

Q: Kora uses the following ingredients to make 1 s'more. Ingredient Amount Graham crackers 2 Chocolate…

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: Q3: Solve the following differential equation by using Variable Separable Method: (y² +1) ecosx y²…

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Q: show that the following function @f(z)=3z²+57-6 are analytic

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Q: he complete solution of the ordinar ifferential equation ²y x² + p + qy = 0 is dy dx - 3x = C₁e¯¤ +…

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Q: PC costs the store owner $1000 and a laptop costs him $1500. Each PC is sold for a profit of $ M…

A: We have given conditions..by comparing these conditions we get first three questions answers... And…

Q: The control lever is subjected to a clockwise couple of 78 N-m exerted by its shaft at A and is…

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Q: gral and determine whether it is convergent or not.

A: Introduction: The formula of gamma function as integration is given by, Γx=∫0∞e-xtx-1dt

Q: a) f(t) = (26² + BE-1) H (6-3)

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Q: Find the inverse, if it exists, of the following matrix using row of operations. First, find the…

A: oiWe find Inverse of matrix by guass Jordan elimination method.  Steps for Gauss-Jordan Elimination…

Q: Let X be co or lº, 1 ≤ p ≤ ∞o. Consider the operator Prove that U is not compact but U² is compact.…

A: Please find the answer in next step

Q: Find the general solution of the DE

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Q: In commutative ring with identity each proper ideal is contained in prime ideal. O T OF

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Q: 1. There are 5 teenagers and 8 adults available for a 5-p. teenager and one adult, how many possible…

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Q: Prove that S. 8 dx √π 2

A: This question is related to integration using gamma function.

Q: The conjugate harmonic function v(x, y) of u = In (x² + y²) is

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Q: newton's method -Use the function f(x) = cos²x - sin x for this problem. a. find the approximation…

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Q: The Z inverse of 3z/(z-2) is: * O3/2An 2/n^3 O 2/3An 3/n^2 Non of these The Z inverse of 9z/(z-1)^2…

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Q: Determine the Fourier series defined by 1−x, -J<x<0 f(x) = = ₁ + x₂ 0<x< π 1 which is periodic of…

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Q: + ax ax²y + bxy² + 2y³ be (x, y) its harmonic conj en la + b + v(1, 1) is ec

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Q: (1) If Z is integers ring, th each non zero element in proper ideal of Z is........ (i) invertible O…

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Q: 17. A manufacturer can sell a certain health supplement for P1,100 per unit. Its total cost consists…

A: Introduction: The amount obtained when a good or service is sold for a price is referred to as…

Q: 1. Consider the following first-order ordinary differential equation 2,2 2x²y cos x dy + (2xy² cos x…

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Q: .Condense the logarithmic expres 3 log5 3x + 2log5 (x - 2)

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Q: Q2) Find and sketch the trigonometric Fourier series corresponding to the saw tooth signal as shown…

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Q: (5) In commutative ring with identity each proper ideal is contained in prime ideal. От OF

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Q: Question 2.10c. Consider the following system x + y + z + w = 1; x - y - z W = : 1; x + z = 1. Find…

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Q: The particular integral of the difference equation Yn+3 - 6yn+2 + 12Yn+18Yn = 3n is

A: We have to find Particular Solution of given difference equation yn+3 - 6yn+2  +12yn+1 - 8yn  = 3n.

Q: Surface of a sphere is a two-dimensional Riemannian space. Compute the Chrtstoffel symbols.

A: Given: Euclidean space To find: Statement

Q: change the cartesian integral in an equvalant polor integral then evalute 2x-x² 1 the polor integral…

A: To change cartesian equation into polar, we use following substitutions x=r cosθy=r sinθdydx=r dr dθ

Q: 4. Find ez dz fa-1+31-8 (3² + 1)(= + 9) |z-1+j|=/

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Q: I'm thinking of a graph which has degree sequence (5, 5, 4, 4, 4, 4, 4). How many edges must my…

A: Sum of the degrees is  5+5+4+4+4+4+4=30

Q: [[F. F. ds for the given vector field F and the oriented surface S. In other words, find the flux of…

A: To find- Evaluate the surface integral ∬SF·dS for the given vector field F and the oriented surface…

Q: Find the directions in which the function f(x,y) = x²y + e* sin(y) Increase and decrease most…

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Q: Let K be integer ring module 12 and let I=([4]) and J-([6]) be ideals of K. Then ([0])

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Q: rection: Illustrate the need for an axiomatic structure of a mathematical system in Geometry by…

A: Given a figure and some statements. To provide a conclusion for each statement. The given figure is

Q: 4. Consider a3(x)y"" + a2(x)y" + a₁(x)y' = 0 (a) What's one trivial solution? (b) Suppose the…

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Q: the an ¹x y is differential ec

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Q: Q5/ Estimate the root of the following function using Newton-Raphson method, employing an initial…

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Q: sin x cos x) (2 -

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Q: Q5: Find the divergence of the vector field y F(x, y, z) = x² √yi + =j+zk At the point (2,4,1).

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Q: Find the local maxima, local minima, and saddle points of the function, f(x,y) = x³ + 3xy + y³

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Q: Consider the graph G : B D E F Which of the graphs below is isomorphic to G? H V V H X Y OA N X OB N…

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Q: 4/(A)Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction. дz əz (B)If Z…

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Q: The graph G₁ has 6 vertices, all of degree 3. How many edges does G₁ have? The graph G₂ has 8…

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Q: (a) (i) For the finite arithmetic sequence 5, 8, 11,..., 44. write down the first term a, the…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Let T: R² → R² be the counterclockwise rotation through the angle Then the standard matrix of T is:…

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Q: Here are two new definitions about graphs. The distance between two vertices in a graph is the…

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Q: d) Give a formula for the coefficient of ak in the expansion of where k E Z. 100

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Q: A firm has commissioned an IE to design a trash can with a capacity of 30 gallons. The can is in the…

A: Given: 30 gallons To find: Solution