Civethe Prime factorization of the number 34417 @ 1853

Q: Suppose you are using a Leslie population growth model to study a species split into three age…

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Q: 1. Find the Fourier series of the given function f(x), which is assumed to have the period 2. a.…

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Q: Use the linear programming diagram below to answer the question that follow. y B (c,d) Feasible set…

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Q: Using the generalised triangle inequality, show that |d(x, y) − d(z, w)| ≤ d(x, z) + d(y, w).

A: Introduction: The metric space is the base of general topology. Metric space is a mapping d. The…

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Q: Evaluate the following integrals, ₁-1²₂2²² I 12- de 6 (2² dr (r²-5r+6) 8(x-3), dr 6 (x²-3x+2) ²

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Q: By Manual Solution, Find the positive root of the equation x-cosx using Regula Falsi method and…

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Q: X= R² and T = { $₁,x} V {₂\x>0} where U₁ = {(x, y) | x² + y ² < 2² } Prove (XT) is Topology

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Q: ) y'= 4y-3x 2x-y

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Q: Definition: An independent set in a graph G = (V, E) is a set of vertices ICV such that there is no…

A: Given: G=V,E To find: a)  Empty graph on n vertices b) Subgraph induced c)  Relationship between…

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Q: Question 6 transformation induced by B = 2 [}}] and S a linear 1 Find matrix of SoT and find (S0T)…

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Q: [[(2x + y²) da + 2xy dy], where C is the line segment from (-1,0) to (1, 2) Evaluate in two…

A: The line integral ∫CMdx+Ndy involves the integration over a specific path. In this case, the line…

Q: Q1. (a) If Aį = {-i,−(i − 1), . . .−3,−2,-1, 0, 1, 2 }, for i = 1, 2, 3,. . . find (i) U₁ A6 and…

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Q: In the quadratic equation Ax²+BX+C =0' describe the roots when B2-4AC is positive. O The roots are…

A: Roots of quadratic equation

Q: Complex Sets 1. Sketch the following sets and determine which are domains: (a) |z2+i| ≤ 1; (b) |2z+…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: dx = -.5x + 2y dt dy = .4x - 4y dt Solve for x(t) and y(t) given the initial conditions stated…

A: given equations dxdt=-0.5x+0.2ydydt=0.4x-0.4y with initial condition x0=50y0=70

Q: For any two vectors u, v E E such that u v and ||u|| = 12 21 a 17

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Q: Let (E,p) be a pre-Hilbert space with ass E, we have the Cauchy-Schwarz inequality |y(u, v)| ≤…

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A: To determine the angle swept in radians and the number of kilometers that Wendy skied.

Q: 3) L¹{e 2. ₂2}

A: We have to find the inverse Laplace transform of the function F(s)=e-2s·1s-2 i.e. ℒ-1e-2s·1s-2

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A: I'm writing a python  function in next step

Q: Consider f(t) = 3t, g(t) = 4t². Proceed as in this example and find the convolution f g of the given…

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Q: 2. Given that a10 = 78 and a25 = 198 are terms of an arithmetic sequence, find an. 3. 6, 10, 16,…

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Q: Given a Hermitian space E, for any linear map f: E→ E, if f is skew- self-adjoint, then f has…

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A: We check that if a function is real and continuous in the region from a to b and f ( a ) and f ( b )…

Q: Find the solution of the sequence of Fibonacci numbers satisfy the relation fn=fn-fn-2 with initial…

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Q: st n terms of this geometric progre

A: A sequence of the form a, ar, ar2,..., arn-1,..., where r≠0 is defined as the common ratio and a≠0…

Q: I. Find the sum of the following convergent series. Σ [tan ² (2n-1) - tan ²¹ (2n + 3)] n=0

A: The sum of an infinite series is a value which the sum approaches if we add more and more terms.…

Q: No. of isomorphic subgroup of group of integers under addition is: -

A: As we know group of integers under addition is (Z, +)

Q: The auxiliary equation of the differential equation -5y""+y' + 2y = 0 is -5m³ + m² +2m = 0. O False…

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Q: (Show your solution using Excel) Find the positive root of the equation 3x+sinx-ex using Regula…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: answer each question by true or false and expla 1) L{t * e³t} = L{te³t} 2) L-¹{L{t * et}} = t * e³t

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Q: For each of the following decide whether the vector field could be a gradient vector field. Be sure…

A: Since you have posted multiparts question and we can answer three subparts. So, answered the first…

Q: Let f(x) = x³ + 3x² - 24x + 1 and g(x) = x³ + 6x² − 36x + 1. Fo have critical points?

A: Given,            f(x)=x3+3x2-24x+1    and     g(x)=x3+6x2-36x+1

Q: 7. Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace…

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Q: Let (G1, +) and (G2, +) be two subgroups of (R, +) so that Z+ ⊆ G1 ∩ G2. If φ : G1 → G2 is a group…

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Q: use the Laplace transform to solve the differential equation y"(t) + 4y(t) = h(t) with y(0) = 2 and…

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Q: 3. Given a prime number k, we define Q(√k) = {a+b√k : a, b ≤ Q} ≤ R. This set becomes a field when…

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Q: 9 The two complex numbers V and W represent two reactances connected in series. Calculate the total…

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Q: 3. Proof by construction: (a) Prove that there are integers such that a² | b³ but a fb. (b) Show…

A: (a) Let a =8 and b=4Then a2 = 64 abd b3 = 64   a2b3     → but  a|b.Hence the result is true.   (b)…

Q: Using Fixed Point Iteration Method manually, Given: f(x) = x^3 + 3x^2 - 1 and its new function as…

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Q: The origin is the only critical point of the nonlinear second-order differential equation x" + (x)²…

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Q: Given a Euclidean space E, if f: E→E is any self fanguidodge door of pas food of go

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Q: Graph the equation 9x² - 24xy + 16y² - 80x60y + 100 = 0 relative to the 'y system (with rotated…

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Q: Question 4 (Show your solution using Microsoft Excel) Find the positive root of the equation xex-3…

A: Explanation: f(1) = -0.281718171f(2) = 11.7781122Therefore, root lies between 1 and 2a = 1; f(a) =…

Q: 15) lim cos (2x)

A: Let fx=cos2x

Q: Determine the truth value of the statement (~r^ p) Aq using the following conditions. a) p is false,…

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Q: Problem 1. Find all subgroups of the group Zand draw the lattice diagram for the sub- groups.

A: Since you have posted a multiple question according to guildlines I will solve first question(Q1)…