Calculate the points of intersection of the curves x² = 4y and bn=) = y 29vaus at newed biloa gris 1 y²/4 = x and determine the position of the centroid of the area enclosed by them.

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Q: d the solution. - 2y'-2y = 0 31 A y = c₁₂e √³1 + B) y = cell-√3)+c_xe (1+/3), -cell-cel+5 Dyce -…

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Q: 5. There are 2 players who have to decide how to split one dollar. The bargaining process works as…

A: Solution : Let player 1 demands a share of x , Than best response for player 2, to demand 1-x, And…

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A: Note: according to our guidelines we can answer only first three subparts

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Q: In Exercises 1 through 8, find all conjugates in C of the given number over the given field. 1. √2…

A: Solution : Conjugate of a real number is, a number which multiply to , The number and it give…

Q: a. Find the Fourier transform of the given function. 2A f(t) == t + A, 75150 2A f(t) = osts/ f(t) =…

A: This is a problem of Fourier expansion.

Q: 4. (-) Prove that a graph G is k-connected if and only -connected

A: We have to prove that graph G is k-connected graph if and only if  G∨Kr is k+r connected.

Q: Numerical Integration: c2 1 S Jo √x 1. =dx

A: We will first solve the given integral directly and then apply numerical integration. Consider:…

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A: The numerical solution of the differential equation is the value of the function that satisfies the…

Q: For the function f(x, y) = 4x³ + x² − 7, find the solution of the differential equation from x = 0…

A: To solve: The initial value problem dydx=4x3+53x2-7, y(0)=3, Analytically.

Q: 4-x²-y² 1 Evaluate ²4-y² So coordinates. x²+y²+z² dzdxdy by using spherical or cylindrical

A: Here we can use spherical coordinates to find the value of the integral. In spherical coordinates…

Q: Q1/A/ Solve the following. Choose five only In(x+2) 1. f dx 2x+4 2. f x² ex dx 3. f tan³x dx 12 4. S…

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Q: (a) Find the Fourier transform of the function g: RR defined by Ste-kt, for t > 0, g(t) = otherwise.…

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

Q: Linda is trying to formulate a mixed integer programming model and figure out the best order…

A: (1). Errors :(a) 0≤x1≤30   (Order quantity is less then 30)(b) 30≤x1≤50  (Order quantity is between…

Q: 6. Two point charged particles are 4.41 cm apart. They are moved and placed in a new position. The…

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Q: Find the roots of the equation using Bisection Method and False position Method. f(x) = e-2x -4 if…

A: We can solve this using Bisection Method and False position Method.

Q: y Classify the DE: X- +xy= dy dx X (A) Linear but not Separable (B) Separable but not Linear…

A: Solution

Q: 5 2 d. L−¹³+; 3s-5 5s-4 e. L- L-¹1- 2s²-3¹ 1 f. L-11 s2-8s+25' 7s

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Q: Consider the following optimisation problem max f(x, y) = t√x y, subject to tx2 + y ≤ 5 x ≥ 0, y ≥…

A: a) when t=1 , max f(x,y) = xy  subject to x2 + y≤5 , x≥0 , y≥0.   x2 + y≤5  ⇒y≤5-x2 ⇒ f(x,y)≤…

Q: The general solution of the equation (D4+D²)y= -12 is Ay=c₁ + C₂X + c3cOSX + Casinx -3x² B y=C₁ +…

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Q: (x+2) 2x+4 ex dx in³ x dx 3 12 dx +9x² x-2 dx dr

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Q: Which of the following is homogenous of smallest degree? x² + y² A X x-y B C D x-y In x - In y √√x+y

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Q: ansform of the follow 1

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Q: جس دن ہی جا U 0 0 0 1 0 0 1 0 0 +2000 0 0 0 0 0 -1 0 +1000 0 0 0 0 0 0 -1 c. Solve the system of…

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Q: Using Rodrigues' formula for Pn(x), (T) (i) Pn(-x) = (-1)" P₂(x) cl

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Q: block of ice in the shape of a right circular cone is melting in su both its height h and its radius…

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Q: Evaluate the Riemann sum for f(x) = x3 + x2 − 6x + 2, taking the sample points to be right endpoints…

A: I have used formula for Riemann Sum

Q: x + 2 Determine the case of the following proper rational function after simplification: (x² – 4)(x³…

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Q: What should be the base number “N” to make the equation 5N/44N = (0.121212…)N true? A. 17 B. 15 C.…

A: The decimal number system uses 10 as the base. In the decimal number system, the place value of each…

Q: Consider P2 (R) together with inner product: Find an orthogonal basis for P2 (R). (p(z),9(2) = Г'р…

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Q: If f(x) = x³ + x is a periodic function with period 2π, then the Fourier series will have the…

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Q: Find the volume of the solid bounded above by the parabolic cylinder z= 2 - x^2 and below by the…

A: Here we can use polar coordinates to find the volume. Using polar coordinates volume is given by…

Q: 2. Consider the function f : R²R such that f(x, y) = x²y-2xy² +6xy-3y² +18y. (a) Show that f has…

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Q: Using Fixed-Point Iteration with an initial value of 1, find a value of x that will make the…

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Q: cosec²x + 2cosec²x + 3cosec²x + ... + n° +ncosec²x)sin²x

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Q: HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D2 – 4D + 4)y = 0 ; when x = 0, y = 1, Dy = – 1.

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Q: Diagonalize A = 12 0 2 1 0 00 - 3 and compute A2019

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Q: What is the general solution of xy(xy5 −1)dx + x²(1 + xy5) dy=0 ? A 2x³y³-3x²= Cx² B 2x³y5-3x²=Cy²…

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Q: 1. [4(cos 12° + i sin 12°)]³. 3. [√3 (cos 25° + i sin 25°)].

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Q: Consider the equation y" + y - xy = 0. (i) Find the power series solutions y₁ (x) and y2(x) such…

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Q: Use at least 6 decimal places of accuracy 1. C sin (z² + 2) dx using n = 6 2. √ √² +6dz √² +6 dz…

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Q: 12 Question If the percentage rate of growth of time series data is stable, then time series has: 1.…

A: Solution:- If the percentage rate of growth of time series data is stable, then time series has-:…

Q: (a) Find the eigenvalues of the following matrix, Z: 1 Z = M -1 01 2 1 1-2 1 NJ For this question,…

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Q: We can apply General Power Formula of Integration on which of the following integrals? A / coshu…

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Q: For the function f(x, y) = −xy2, find the solution from x = 0 to x = 1 with an increment of 0.2 by…

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Q: C042Exp2 Well Given that f is continuous on [4, 6] and differentiable on the interval (4, 6), with…

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Q: Let g be a differentiable function, and let the range of g be an interval 7. Suppose that f is a…

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Q: 10 Re(1 + i)¹⁰ Select one: O a. 0 O b. 1/2 O c. 3/4 O d. 5/6

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Q: Prove that the sequence {f(1/n)} has a limit if |f'(x)| < 1 for all r € (0, 1]. I

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