y = cos x, y = sin 2x, 0

Q: DESIGN ACTIVITY 3 Find the difference approximations of the solution y(x) of the boundary value…

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Q: Use partial fraction to solve the following problems: 2. Inverse laplace of (4s+4)/(s^3+2s^2)

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Q: Find the following, showing all working: (a) The matrix B that represents the linear transformation…

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Q: The ratio of number of male and female teachers in a school is 3: 4. If there are 16 female…

A: Here given that the ratio of number of male and female teachers in a school is 3:4. Also given that…

Q: --3 Find the volume of the pyramid with base in the plane z = and sides formed by the three planes y…

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Q: Find V· (V × F) if F(x,y, z) = 7 sin xi + 9 cos(6x – 7y)j+ 6zk. V·(V × F)

A: The solution is given as

Q: 5. If $782 is divided among three persons A, B and C in the ratio 1/2: 2/3: 3/4, then find the share…

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

Q: d²y dy + 2 dx 12х — е2х || dx²

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Q: 1. What graph in Cn - e for any edge e, is isomorphic to? EXPLAIN

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

Q: Let 03 Solve the initial value problem + 4 = f(1) with the initial conditions /(0) = 0 y(0) = 2. %3!

A: Introduction: Laplace transformation is a tool to solve a higher order initial value problem. The…

Q: Find an orthonormal basis of the plane x1+ 5x2 – x3 = 0. }

A: Introduction: A set of vectors that is orthogonal to each other and spans a plane is the set of…

Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by…

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Q: Determine the Inverse Laplace Transform of the functions by reduction to partial fractions. s2+3 1.…

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Q: Using the algorithm in LU Decomposition to solve the system of equations, identify the values of the…

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Q: expressions shown for the permutations O and M from 1.

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Q: Have a look at the following graphs and write the mathematical notation of the following definite…

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Q: |1 0 2 2 1 0 Find the singular values of the matrix A

A: Given matrix: A=102210To find; Singular values of the matrix A.

Q: Find all integer solutions to x2-12y2=xy+8

A: This is a problem of Number Theory.

Q: Use the Gauss-Seidel method to solve the following system. Compute the errors. [10 |-3 -6 2 -1] [*1…

A: Given data  system is 10   2-1-3 -6  21   1  1x1x2x3=4125105

Q: Solve Ux + X YUy +U=0

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Q: 6. A connected graph with four edges and four vertices has two vertices of degree two. Show that a.…

A: We have given connected graph with four edges and four vertices that has 2 vertices  which having…

Q: (a) Write down 2+ 5i in exponential form. Im 2+ 5i Re An equilateral triangle is to be drawn on the…

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Q: Given the following matrices: 3. 4 A = B = 5 2 9. 3 D -1 E = -1 2. 4 Compute the indicated…

A: The TRANSPOSE() function is used to determine the transpose of a matrix in the excel. The MMULT()…

Q: Find V · (V × F) if F(x, y, z) = sin xi + cos(x – 2y)j + 8zk. | V ·(V × F) :

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Q: Let V be a finit dimensions vector space of at least dim =1, Let T: V-> V be a linear transformation…

A: Given that V be a finite dimensional vector space with dimension ≥1 and T: V→V be a linear…

Q: A lighthouse is on an island 250 meters off shore. The lighthouse beam makes a full turn every 7…

A: Solution

Q: 8. A square matrix P has a property that P2 P. If P # 1,, which of the following is true? (a) P is…

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Q: y" + 4y = 3 csc²(2t)

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Q: transforms of the given s-domai 5)e^-5t + (5/56)e^2t - 127/1000 5)e^5t + (5/56)e^-2t - 127/100C

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Q: Use the Table of Laplace Transform to find the Laplace Transform of the given function. b. cos't c.…

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Q: 1. (D²-5D+6)y = 2e

A: This is a problem of differential equation.

Q: F. dS; that is, calculate the flux of F across S. Js Use the divergence theorem to calculate the…

A: Gauss divergence theorem is used

Q: 1.The five week demand forecasts are given in the following table: Week Demand 1 4 3 360 220 260 140…

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Q: Determine the vector field of F. F(x, y) %3D 6і — 3j

A: Solution :-

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not…

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Q: Exercise 5.1.14. Suppose G is an abelian group. Show {g E G : g² = e} is a subgroup of G. Give an…

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Q: 7. Determine the following integral. Also indicate if the integral converge or diverge. Show the…

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Q: 1. Find the Fourier series expansion up to n = 5 of the given periodic function: f(t) 1 2n 3 3 2.

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Q: Show that the opelator Tilol defined by Y=19;)=Tx.-E] *=(h:)is Linear and bounded

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Q: Problem Solving xe2x dx 1. Manually solve for the general solution of this integral. 2. Manually…

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Q: 4. A Barangay has three clinics; the weekly number of patients seen by a nurse pra in each clinic is…

A: # as per the guidelines we are entitled to solve maximum three subparts at a time, please resubmit…

Q: 1. One specific factory can manufacture two different sizes of mixers. They earn a profit of $102 on…

A: Given is problem on linear programming problem about two mixers and thir cost of production.   To…

Q: Use Stokes' theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above.…

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Q: Compute the determinant of the matrix -1 2) 0 0 3 1 -1 -1 1 and find its inverse if it is…

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Q: Solve the following differential equation Integrating Factor by Inspection: 1. (2y – 3x)dx + xdy = 0

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Q: Given the linear system 2x- y= 5 4x- 2y= t Determine a value of t such that the system is…

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Q: Find an equation of the largest sphere contained in the cube determined by the planes r = 1, x = 7,…

A: We have to find the equation of the largest sphere contained in the cube determined by the planes…

Q: Consider the differential equation (x +y)dx- xdy%3D0 with the initial condition that y=1 when x = 1.…

A: The absolute relative error is calculated using the formula: εr=Approximate Value-Exact ValueExact…

Q: What Mathematics is about, what are the “things” or “object of interest” in the field of…

A: This is a problem of Logic and Philosophy of mathematical language.

Q: II. SYSTEM OF LINEAR EQUATIONS OF TWO VARIABLES A. Describe the graph of the system of linear…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…