Axis of revolution 3 - (1, 3) Р(x) %3D 2 - х h(x) = x³ + x +1 - 1 1 2

Q: Use the modified decomposition method to solve the following Fredholm integ tions: 1. ULF 3. u(x 4.…

A: Given the Fredholm integral equation ux=π-2x+sin-1x+12-sin-1x-12-∫01xutdt. We need to use the…

Q: The function f(t) is defined as follows f(t)=3-2t+t²,0<t<8. Define f (t), an odd periodic extension…

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Q: The characteristic polynomial of the following matrix have been provided. Find the Jordan canonical…

A: Given: charAt=1-t21+t2,  A=-2-1001000-201001-51 To find the Jordan canonical form of A.

Q: Find the envelope of the family of straight lines, which together with the line segments intercepted…

A: To Find: The Envelope of the family of straight lines, which together with the line segments…

Q: Solve the l.p.p. by graphical method. Maximise Z = 3a + 2b S.T. 1a + 1b ≤ 4 1a 1b ≤ 2 and both a and…

A: The given problem is to solve the given linear programming problem by using the graphical method.

Q: et A and B be two matrices of the same order, then state whether the g true or false. A + B + B+ A…

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Q: rove that if p and q are distinct odd p CT (p-1)(q-1) = (-1) 4 uadratic reciprocity law.

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Q: List the elements of the sechgroups the Cosets of $1.-1] of the group of quaternion { 1,-1, i, - i j…

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Q: By showing that any sequence in A ∪ L has the same limit as some sequence in A, prove that A ⊆ A ∪…

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Q: A new weight-loss program is tested on 520 adults in New Jersey and on 389 adults in Pennsylvania.…

A: In a test among 520 adults in New Jersey the average weight loss per person is 57 pounds and among…

Q: can you solve and answer me asap

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Q: eries solution y(x) corresponding to the larger root

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Q: iven a metric space M with metric d, verify that any e-ball is an open set.

A: Answer given below.

Q: Example 6.24. Using Milne's method, solve the differential dy (t + y) dt 2 equation. for y(2), given…

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Q: (a) Let a and b be positive real numbers. If a, A₁, A2, bare in arithmetic progression a, G₁,G₂, b…

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Q: Prove that 2¹ >1+n√2¹-1 ; \n > 2 where n is a positive integer.

A: Since you have posted a multiple questions we will solve first question for you as per our Q&amp;A…

Q: Find the answer and simplify. If possible, write the answer in its rectangular form. Log(3 − 3√3i)

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Q: Estimating the value of a convergent improper integral whose domain is infinite a. Show that | e dx…

A: As per the question we have to : Show that the integral of e-3x from 3 to ∞ is less than 0.000042,…

Q: Find the arc length of the graph of the function over the indicated interval.

A: Given the function fx=2x32+3. To find the arc length of given function on the interval 0, 9. The arc…

Q: Sandeep borrows $20,000 for a new car. The bank offers him an annual interest rate of 9% compounded…

A: Given that the borrows amount PV= $ 20,000 Interest rate  r=9%=9100=0.09compounded monthly…

Q: ест Cramer's rule to save the system of X₁ + x₂ + 2x3 - xy = 1 1 X₁-2x₂-x3 + 2xy = 0 x₁2x2 + x3 + xy…

A: Given system of linear equations can be written as  112-11-2-121-21106-24x1x2x3x4=1020 which is of…

Q: How | let A= 1 -1 2 -3 7 -5 ·3 a O 2) If A is a non singular matrix you say and Is U in Nul (A)? Is…

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Q: 2t x = t(e²t + 4) y=x −x+e*(x+cosx)

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Q: b) The upward velocity of a rocket can be computed by the following formula where In g pupward…

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Q: Evaluate each of the expressions in a -j (if evaluation is not possible, or undefined, write NULL)…

A: note :  Since you have posted multiple questions with multiple sub parts, we will provide the…

Q: Let a and b be positive real numbers. If a, A₁, A₂, b are in arithmetic progression, a, G₁, G₂, b…

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Q: A sequence is defined by the relationship r[n] == Ỹ h{m}h[n + m} = h{n} » h{_n], ma-00 where h[n] is…

A: As per the question we are given a discrete output sequence as : r[n] = (4/3)(1/2)n u[n] + (4/3)2n…

Q: 11) (6 P) Let X= (1,3,4) and Y= (s, t, u, v).Define f: XY by specifying that f(1) = v. f(3) = s.…

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Q: It is given that (²1) = 4, (3) k 2 -(" + ²) Write and expression for = B, (x+1)= = C (where n, k, A,…

A: Use the properties of combination.

Q: Compute y (0.4), y (005) by corrector method where differential eqantra A дам zet 2e t-y milmes…

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Q: Determine the interval of convergence for € (-1)" n! (x-5)" ΑΞΟ 34

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Q: The distance from the star S to the planet X is approximately 149,000,000 kilometers (km). The…

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Q: Show by contrapositive that (3n+2) is even →n is even

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Q: Exercise 6.3.1. Consider the sequence of functions defined by

A: Given: gnx=xnn. To Do: (a) Show that gn converges uniformly on 0, 1 and find g=lim gn. Show that g…

Q: Consider the group GL₂(R). Let A (a) Find all elements of H = (A). (b) What is A|? √2 2 √2 2 NANS √2

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Q: Q2: Find FT for the following signals: a) x(t)= e-2(t-3) u(t-5) b) x(t)=(et sin(t) u(t)

A: Here we have t o find Fourier transform of the given two signals  a)  xt=e-2t-3ut-5b)…

Q: A and B are N×N matrices with eigenvalues αα and β, respectively. Under what condition/s will the…

A: Given Data: Let us consider the given A and B are N×N matrices with eigenvalues αα and β,…

Q: A 오 ·34 B= -5 오 -2 fi

A: Given  A=152734, B=23-125-2  We have to find AB

Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities θ= π/3, -1 ≤…

A: The polar coordinate can be represented by r, θ, where r is the length of the curve and θ is the…

Q: Let A be a nonsingular 2 × 2 matrix with singularvalue decomposition A = USVT and singular valuess1…

A: Given That :  A be a nonsingular 2×2 matrix with singular value decomposition A=USVT and singular…

Q: For numbers 1 to 3: The city of Smallville consists of five subdivisions, Mayor Takeda wants to…

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Q: y = e-³x cos3x

A: The differential equation is defined as an equation that contains a derivative, a dependent…

Q: Exercise H.6.1. Compute the following limits: a) lime. b) lim lne +1 ∞ 3e +5°

A: The given problem is to evaluate the given following limits.

Q: 1. Solve the following differential equation.

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Q: Recall that Pn is the vector space of polynomials p(x) of degree at most n with real coefficients.…

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Q: Example 6.16. Compute y(0.1), using second order Runge- Kutta method where y is given by =t-y, y(0)…

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Q: Consider the expansion y = 2p=0 96px with coefficients given by a6p = (-1) ao/(2p)!. Which function…

A: We will standardize given series and then compare it with standard series of sin , cos and ex Series…

Q: Find the volume swept out by revolving the region bounded by the x-axis and the graph of x = 2t, y =…

A: Given That : x=2t , y=t2-t To Find : Volume swept out by revolving the region bounded by the x-axix…

Q: Question 3. Two biologists make two different estimates of how many fish live in a small lake.…

A: In the experiment done on the fish population of the lake on Monday 20 fishes are caught and tagged…

Q: H.W/ let S= [[3] ; X70, ує a subset of R². IS of 1R² be Subspace J-Jubour

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.