1. Use the Euler, improved Euler and Runge-kutta methoods to solve the following ODES: d. ý =(1+ )y, ye) = e ,h=o•2 %3D

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Q: Perform the following equation using PEMDAS shown in the image. Write your answer together with its ...

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Q: sec 90

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Q: The solution of (xy – ) = y³e-x² dx

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A: It is given that ;                     fx = x4x-13   ................(I) (a) We have to find the cri...

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

Q: Determine whether the following series is convergent or divergent: Σ (4n)²n evnn2n n=1

A: Series convergence  or divergence

Q: Determine the values of m so that the roots of 2a? ma – 8 = 0 differ by m -1. O 9 and 3 O -10/3 and ...

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Q: Determine the rank and nullity of the matrix. 2 -1 0 1 5 2 1 -4 -1 -4 -1 6 -8 -5 -2 9 The rank of th...

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Q: 1. Consi der the power series (2r+3)" Σ V2n2 n=1 1 (a) Determine the interval and radius of converge...

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Q: In Exercises given information. 2. The pivotal column t, hen the eta matrix E from the is tp 12 and ...

A: Given: The pivotal column tp=1234-130512 and the departing variable labels the second row that is., ...

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Q: 1 To find the number of toys a company should manufacture per day to optimally use their injection-m...

A: Given : 0.33330.16670.66670.16670.66670.33331.05-10x1x2x3=75612600  

Q: 3. * - (, ) ×+ () 4. * - (; 1)x•(;) %3D

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Q: Find the area inside the graph of r = +8 cosθ and to the right of the y-axis.

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A: The given problem is to find the derivative of the given definite integral function. We have to use ...

Q: 1. Find the value of ø(0) for a solution ø(x) to the initial value problem: 6y" + y' – 2y = 0; y(1) ...

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Q: Find all the critical points of each of the nonlinera system given. Then determine the type (or natu...

A: We Check others points (-1, -1), (1,-1)  If (-1, -1) , it is not satisfy x=-y and if (1, -1) it is n...

Q: 1 Let f (z) %3D z - 7 Part (a) Integrate the function f (z)along the curve C in the complex plane gi...

A: Solution:-

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Q: . Compute the line integral of E from B(0,0,0) to A(2,1,3) if E = -4xya, – (4y + 2x2)a, + 8zaz. Use ...

A: The line integral of vector field E→ along curve C is ∫C   E→.dr=∫abE→(r→(t).r→'(t)dt  where r(t)→  ...

Q: c. If f and g are both surjective, show that so is gof. d. Suppose that gof is surjective. Are f and...

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Q: Cmplet 3- following table: 1.5 1,75 2.71828 5.75460

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Q: QUESTION 1- 3 1 1 A = 1 matrisi için: 3 -5 -2 -2 1 a) Find the eigenvalues and the algebraic and geo...

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Q: 2. Let P3(R) be the vector space of all polynomials of degree 3 or less (and the zero polynomial). D...

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Q: -5-0 using Iterative fixed-point method by 2. Find one root of f(x) x+ choosing initial value as -2 ...

A: Given that fx=x3+4x2-5=0 To use iterative fixed point method to find one of the root of the above fu...

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Q: Sin 5

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Q: 1. Evaluate the following integrals: g) . dx sin-1 x V1 – x2 h) . cos(sec¬1 x) dx 2/V3 xVx² – 1

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Q: Problem 2. Let z = a+ bi be a Gaussian prime and a, b > 0 positive integers. Show that its norm N(2)...

A: N(z) = a2 + b2. Now if possible, let N(z) be not prime.  Then, there is an integer, say r such that ...

Q: Activity 2: Let students to answer this activity in order to connect the next topic. Solve the first...

A: Properties of the derivative ddx(uv)=udvdx+vdudxddxxn=nxn-1ddxf(g(x))=f'(g(x)) ddxg(x)ddxsinx=cosxdd...

Q: Find SL (xy) dl Lis Jquare 1x|+ lyl= 1 where.

A: The integrals in the form ∫Lf(x,y)dl involve the integration over the specific path L. In this case,...

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Q: If we roll a 12-sided die (numbered 1 through 12), calculate the probability of rolling a number sma...

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Q: Let A,B,C,D be four distinct points on a line, in that order. The circles with diameters AC and BD i...

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Q: . Show that a complete integral of the equation f(ôu / ôx, ôu / ôy,ðu 1 az) = 0 is u = ax + by + 0(a...

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Q: [X - y1 Let T: R3 → R3 be a linear operator defined by. T| -z 2z a) Show that T is a linear transfor...

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Q: Representing Compound Statements in Logical Notations Let p: 3 + 4 = 5; q: 12 0. General Instructio...

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Q: Ex. 1. A shot of mass m, is fired from a gun of mass m2 with velocity v relative to the gun; show th...

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Q: Find the determinant by row reduction to echelon form. 1 -1 9 6 0 1 -7 3 - 1 0 - 8 4 4 -4 30 0 Use r...

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Q: Consider two perfectly negatively correlated risky securities A and B (the correlation = –1). A has ...

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Q: Find the augmented matrix of the system of equation. 2x – 14y + 9z = 47 -3x + 24y = - 52 2x -13z = 2...

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Q: Find the sum of the series S.

A: Given,         3-3ln(2)+3(ln(2))22!-3(ln(2))33!+ . . .

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Q: dy dx take 2. Solve xy +1 with ycu) = 1 for finding yo.075) %3D h=0-025

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