Find The Center of mass of the region bounded above by The Plane Z = Y, below by The xy-Plane and Laterally by The cylinder x² + y² = 4

Q: Q2/ The region bounded by the curve y = x² and the line y = 3x, in the first quadrant is revolved…

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Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: (a) Consider the given graph, Eulerian Graph theorem: it states that an Eulerian trail exists in a…

Q: -3 2 1 5 6 -21 51 9 5 -7X2 -3 4 2 X3 -1 -7 4 3 B. Solve for the unknown values using Iterative…

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Q: 1. Consider the curve F(x, y) = 0. Show that if F has continuous second derivatives, then a formula…

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Q: Q2: Find the value of the following integration, using : 1- Two-points Gaussian integration method.…

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Q: Solve the following complex numbers 1. sin[ln(8 + j5)] 2.   sinh[ln(8 + j0)] + cosh(8ej0.785)

A: We need to solve the following complex numbers. Note: We will be using the trigonometric and…

Q: If Sue eats 1/8 of a large cake, and Bill eats 2/4 of a small cake, who eats more cake?

A: Let large cake = 1 pound       Small cake = 1/2 pound Sue eats 1/8 of large cake. Bill eats 2/4 of a…

Q: @) Fs [ f ² (x) ² = √ = Pf∞o) - P² Fs {f(x)} proof: How.

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Q: Use Laplace transform to solve the partial differential equation: d'y dy = -+xt where y(x,0) = 0,…

A: Solution

Q: Hi the equation for the cone is z^2= x^2 + y^2, and not z=x^2 + y^2, could you please do this…

A: Here we will use Cylindrical co ordinate system  x= r cosθ , y = r sinθ , z=zx2+y2=r cosθ2 + r…

Q: Let f=z" + an-12¹-1 + ... + a₁ € C[z] be a polynomial of degree n ≥ 1. Which of the factorisations…

A: Solution:-

Q: For a data set of size 10, the highest order of a polynomial that could be fitted using Least…

A: Last option is correct i.e. 9

Q: -3 5 -51x1 1 6 -7X2 2 -2 9 [X3] C. Solve for the unknown values using Decomposition Methods = 4 -8…

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Q: Can the graph G be orientable? G:

A: Yes the graph is orientable.

Q: Minimize ƒ = x² + x² +60x, subject to the constraints 8₁x₁-8020 8₂x₁+x₂-120≥0 using Kuhn-Tucker…

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Q: 8. Find f(4) if f(0) >0 and [f(x)]² = [(f(t))² + (f'(t))²]dt + 4.

A: We do this using Lebniz rule for differentiation under integral sign. The detailed solution is…

Q: 48) Mark, a part-time service crew at a restaurant, earned P2,375.75 in working for 53.75 hours in…

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

Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: Introduction: An Euler path is one that uses each graph edge exactly once. An Euler circuit is one…

Q: Sketch the curve r = 8+8cos € in polar coordinates.

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Q: False Position Method and Secant Method ( f(x) = 3x² - 2x - 4

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Q: 9) Evaluate the double integral of the function f(x, y) = 12x²y + 8x³ over the rectangle 0≤x≤ 2 and…

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Q: O is the center of a circle whose circumference passes through the vertices of an equilateral…

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Q: Use Laplace transform to solve the partial differential equation: d²u du du(x,0) t> 0, 0<x<1, u(x,0)…

A: Solution

Q: 4. The Riemann zeta function is defined as ((x) = = n² (a) For which real numbers x is ((x) defined?…

A: ζ(x)=∑n=1∞1nx a) By using the integral test,  we can find its convergence…

Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: A connected graph G is said to be Eulerian if the graph G has a Euler circuit. A graph has an Euler…

Q: Cessna P-210G needs to be modified so it will carry 100 gallons more fuel than a standard P-210G.…

A: Let , the wing is w inch wide.  convert the given gallon into cubic inch and equate it with volume…

Q: 2. A vehicle starts from rest and its velocity is 8.0 measured every seconds for 8 seconds, with…

A: In this question, the concept of the Simpson Rule is applied. Simpson Rule ∫abfxdx≈h3∑j=1n2…

Q: 1.) Let G₁ = £1₁ 1₁ i -i) be group of 4 Complex numbers under mutiplication. a) is £1, i} a subgroup…

A: Given group under multiplicationG = 1, -1,  i , -i  A subset H of G will be subgroup of G if H…

Q: Let A be an n x n matrix. Let n- c(z) := det(zIn − A) = 2" - Σckzk k=0 be the characteristic…

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Q: L (7² +9) (2²+4)² x कर

A: Follow the steps.

Q: Minimize C=3L-4K subject to 120=3K⁰.7L0.3. Find L*, K*, A*, C*. Now, Use Bordered Hessian to verify.

A: z =xy subject to x + 2y = 2lagrange function:L =U(x,y) +λ (M-p1x-p2y)

Q: Q4) Solve the boundary value problem y - 3y + 2y = 0 with y'(1) = 1, y(3) = 2e¹-e² h = 0.5

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Q: f(x) = 3.1.³ et 1. Using the laws of Calculus, provide the expression for f'(x)- which will be our…

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Q: 5. y=-tan- tan-¹tan x] ab

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

Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

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Q: Find the image of |z + pi + 2p| = 4 under the mapping w = p√² (e¹²) z. about

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Q: Show that Consider the Fibonacci numbers {F} defined by F₁ = 1, F₂=1, and Fn+2= Fn+1 + Fn. Fn =…

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Q: ide a detailed solution. Us

A: Given,       f(x)=xe-x-sin2x

Q: Give an example of a non-planar graph that is not contractible to K5or K3,3.

A: Solution :-

Q: So whats the final answer, whats the final unknown value?

A: Solution

Q: Show that the Bernoulli number B₁ satisfies B₁ = (-1)" ( 2 + 2d²+1) Σ (mod 1) for any positive…

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Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: Q3/ Solve the following differential equation dy = = (2-x)(2-y) dx By 1- Taylor expansion series…

A: Formula for Taylor series for function f(x) centered about x=0 is…

Q: A nature reserve has one bird of an uncommon species which frequents the large expanse of reed beds…

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Q: Use Laplace transform to solve the partial differential equation: d²u du = t> 0, 0<x<1, u(x,0) = sin…

A: Solution :-

Q: Learning Task 3: Read each item carefully. St.cw all secessar, Jutions in solv. ing 1. Find the…

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Q: If you borrow $2,400 for 4 years at an annual interest rate of 6%, how much will you pay altogether?…

A: When the interest is simple, then the formula used is A=P(1+rt), where, A is the final amount, P is…

Q: 10. Prove that T/2 75/2. sin e cos (cos a cosec 0) de 10 T 2 (1-cos a).

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Q: 7. Evaluate sizda by r (a) manipulating the integrand. (b) making a substitution. 88

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Q: Find a natural cubic spline interpolating the data (-1, 13), (0,7), (1,9)

A: Writing data in table format x -1 0 1 y 13 7 9 Formula for natural cubic spline is:…