Find the sum of the series: n=0 1-2 (-1)" (1) " 2n + 1

Q: Find y(0.2) for y"=xz²-y², xo=0,yo-1,20-0, with step length 0.2 using Runge-Kutta 2 method (2nd…

A: To find- Find y0.2 for y'' = xz2 - y2, x0 = 0, y0 = 1, z0 = 0, with step length 0.2 using…

Q: Use Stokes' Theorem to find the line integral [((x² + x + 2y²)i + (y + z³)j + (z + 2x²)k) · dr where…

A: To Evaluate: The integral ∫C(x+2y2)i+(y+z2)j+(z+2x2)k·dr. where C is the boundary of the triangle T…

Q: If C is given by x = 2t, y = −2t, z = t, 0 ≤ t ≤ 2, evaluate Z C (x − y + z) ds

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Q: Given that the matrix A has the Singular Value Decomposition A = UVT, where: U= 3 Σ = 6000 0400 0000…

A: The singular value decomposition of A is given as, A=UΣVT, where, U=2312-26130223-231226 ,…

Q: Use the parameter variation method to solve this problem. Write the solution in y=f(x) form. x²y"+…

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Q: How long will it take borrower to diminiy₱198,480 if a lender charges 15.65% monthly and monthly…

A: loan amortization formula A=Pr(1+r)n(1+r)n-1 where A is periodic payment P is loan amount r is…

Q: 7 4 3 find Jordan form -2 12 -2 9 -4 9

A: We have to find the Jordan canonical form of the given Matrix.

Q: Evaluate the given integral along the indicated contour. Jo (9z² – 6z) dz, where C is z(t) = t +…

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Q: If F= 26i- zj+ xk , eviulate F×dr along the carv x=cost , y=Sint ,z=2cost for t=0 to t=1

A: The given problem is to evaluate the given line integral of the vector field over the given curve.…

Q: H.W: show that the equations are homogeneous and solve: 1. (x + y)dy + (x - y)dx=0 2. x²dy + (y² -…

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Q: (a) Prove that any subgroup of Sn contain either even permutations only or equal number of even and…

A: As per guidelines we are allowed to solved one question at a time so i am solving first one please…

Q: The intervals on which f(x) = x² In x is increasing and decreasing, and the intervals of concavity…

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Q: Find a possible formula for the trigonometric function whose values are in the following table. x…

A: Given the table x 0 3 6 9 12 15 18 y 2 -2 2 6 2 -2 2

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: Evaluate the given integral along the indicated contour. y = 1 / ₁ 1<t<4 Izl² dz, where C is x = t²,…

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Q: Use the Fundamental Theorem for Contour Integrals to evaluate the given integral. Write the answer…

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Q: Q5: Find the solution of the following D.Es: 1-x+ 5y=x7 at x = 2.y = 1 2- y" + 4y + 2y = 13e³x

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Q: H.W: replace the following polar equations by equivalent Cartesianny equation, then describe or…

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Q: How long will it take for an initial investment of $ 133000 to reach a balance of \$1,000,000 ,…

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Q: find the amount of a principal of ₱25,000 if the given periodic rate i=0.1025/12 and total…

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Q: The first five rectangular numbers are shown: 2 a. Make a sketch to represent the eleventh…

A: Introduction: When a certain number is arranged in a rectangular manner, the number is referred to…

Q: The first five rectangular numbers are shown: 2 3 5 a. Make a sketch to represent the eleventh…

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Q: Pedro d. Magulabtang wants to have an amount of ₱750,000 at the end of 5 years and 9 months for now.…

A: Future value of ordinary annuity FV=R1+in-1i where R is regular deposit i is periodic interest rate…

Q: Q1: The Hamiltonian is represented by the matrix H = 0 Where is positive real number. (a) Find the…

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The Hamiltonian…

Q: The first five rectangular numbers are shown: 2 3 5 a. Make a sketch to represent the eleventh…

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Q: On the grids below, show all the ways exactly two squares can be shaded so that the grid has…

A: Total number of ways in which two squares can be shaded so that the grid (4*4 square) has symmetry…

Q: Solve the linear programming problem using the simplex method. Maximize subject to ⒸA. The maximum…

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Q: 8) Let a, 32" +45 for n-0, 1, 2, 3,... If we write a as a recursive relation, it is Hint: calculate…

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Q: 8) Let a, 3-2 +45 for n-0, 1, 2, 3, ... If we write an as a recursive relation, it is Hint:…

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Q: Use the Fundamental Theorem for Contour Integrals to evaluate the given integral. Write the answer…

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Q: 3x-1 1. Let z(x) = √x+(4+K) . Answer the following: (K+7)x 2 a. State whether z(x), m(x) and n(x)…

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Q: a) Write The Green's Theorem in the plane relating double integrals and line integrals. (Please,…

A: As per the question we have to first write The Green's Theorem in the plane relating double…

Q: Grace and Hannah are both driving along the same highway in two different cars to a stadium in a…

A: Grace and Hannah are both driving toward a stadium with speeds of 40 miles/hr. and 54 miles/hr.…

Q: In Problems 10-8, decide whether or not the method of undetermined coefficients can be applied to…

A: We only apply method of undermined coefficient on sine ,cosine, exponential  and polynomials ...…

Q: Assume that Aliza has a winning lottery ticket and she are the given the option of accepting the…

A: Given,  Assume that Aliza has a winning lottery ticket and she are the given the option of accepting…

Q: 4 0 -7 075 5 1 2

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: Question 3. For each of the following PDEs determine if the PDE is hyperbolic, parabolic or…

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Q: Convert the integral from the CARTESIAN COORDINATE SYSTEM to the SPHERICAL COORDINATE SYSTEM. S-s √…

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Q: A die is thrown randomly 450 times. The frequencies of outcomes 1, 2, 3, 4, 5, and 6 ar shown in the…

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Q: 11-x 1 S S S dydzdx 00 x+Z 2.

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Q: Question [ a) L b) [1 ¹: Evaluate If Show all your work. then find f(x) [(x+3)√x-3dx…

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Q: Solve the linear programming problem using the simplex method. Maximize subject to ⒸA. The maximum…

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Q: 2. Find the area of the region inside the cardioids r = a(1+cos), a>0

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Q: Solve using Gauss-Jordan elimination. = 14 = 12 2x13x25x3 x₁ - 4x₂ Write the system of equations as…

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Q: f(t) Answer the following (5 only): k c/2 0 T c/2 -C y(t) k 0 с с g(t) k/2 The function f(t) graphed…

A: The given Fourier series as    ft=k2+2kπcos t-cos3t+cos5t-.... To find: the answer of the following…

Q: Consider the pendulum x' Y, y' = -vy - sinx, - where 0 is a friction parameter and (x, y) E S¹ x R…

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Q: 5. Prove that the set of points at which sequence ef measurable real-valued functions converges (to…

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Q: An appliance store sells three brands of TV sets, brands A, B, and C. The profit per set is $30 TOP…

A: Let there are x1 sets of Brand A , x2 sets of brand B and x3 sets of brand C The objective is to…