how that the union of a finite. number of bounded sets is bounded

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Find the Inverse Laplace Transform of 10. F (s) 2s+3 s²+4s+13

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Q: 3. Solve the linear programming problem. Minimize z = 10x₁ + 16x₂ + 20x3, subject to 3x₁ + x₂ + 6x3…

A: Min Z =   10 x1 + 16 x2 + 20 x3 subject to…

Q: Consider the following. B = {(0, -1, -2), (4, 1, 2), (12, 3, 7)}, B' = {(−3, −2, −6), (2, 1, 3), (2,…

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Q: Example 10.11. Using modified Euler's method, find y(0.2) and y(0.4) given y = y + e*, y(0) = 0.

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Q: Let B B-{B·[3]} and B-{[4]-8} B' Suppose that [32] A = 4 is the matrix representation of a linear…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)^2 = 2y,…

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Q: Prove that the intersection line of the planes P₁: 2x -y - 2z = 0 and P₂:x-2y+z = 0 is parallel to…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: g(x) 8/(x) Evaluate lim . W W W W . f(x) g(x) X . .

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Q: Example 10.13. Using Euler's modified method, obtain a solution of the equation dyldx = x + √√y, e…

A: Here we need to use Euler's Modified Method.

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

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Q: s+10 (s²-s-2) B:1: Solve 1. L{t²cosat} 2.L-¹ { {}

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Q: Find the 4-point discrete Fourier transform (DFT) of the sequence x(n) = {1, 5, 3, 1}.

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Q: The simultaneous linear equations mx + 7y= 12 and 7x+my = m have a unique solution only for A. m = 7…

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Q: Example 10.19. Apply Milne's method, to find a solution of the differential equation y=x-y² in the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs. Thank…

Q: Use Polya’s Four Steps to solve the following problems. Susie’s age this year is a multiple of 5.…

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

Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

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Q: Example 9.6. The integers 0, 1, 1, 2, 3, 5, 8, 13, 21, sequence. Form the Fibonacci difference…

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Q: Example 9.1. Form the difference equation corresponding to the family of curves Y = ax + hr²

A: Please find step by step answer below:

Q: Determine why dx converges or diverges.

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Q: Solve the following system of nonlinear equations 2x₁x₂2=0 x₁² - 4x₂ -4 = 0 Using the fixed-point…

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Q: 5 6. (s+3)² 7. 3 s2-32 8. L{f(t)}: 3s²-1 s²+8+1

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Q: c) Set up the objective function. d) Suppose that in the optimal solution for this problem, a…

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Q: 0,−1), (2,1,0), (3,1,-1), (1,1,1)} spans. {(c²,0,1), (0, c, 0), (1,2,1)} is a linearly R³. y, z) €…

A: Let us consider the set S=1,0,-1,(2,1,0),(3,1,-1),(1,1,1) To check R3=span S that is to check,…

Q: Example 12.14. Find an optimal solution to the following L.P.P. be computing all basic solutions and…

A: The problem belongs to the concept of L.L.P.

Q: Example 10.16. Using Runge-Kutta method of fourth order, solve y(0) = 1 at x = 0.2, 0.4. y² + x²…

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Q: If H₁ and H₂ be two subgroups of group (G,*), and if H₂ is normal in (G,*) then H₂H₂ is normal in…

A: When a non-empty subset of a group follows all the group axioms under the same binary operation, the…

Q: ve y=-x³. 16 Find the area bounded by the curve O 8 square units O 16 square units AA sauare unite 2…

A: The area bounded by the curves f(x) and g(x) is given by ∫abf(x)-g(x)dx y=116x3-34x2+3xy=x equating…

Q: The temperature, 7 °C, in an office is controlled. For a particular weekday, the temperature at time…

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Q: 8. Let F be a field and let f(x) be an irreducible polynomial in F[x] Then if the characteristic of…

A: Let f(x) be an irreducible polynomial in Fx. The characteristic of F is zero. To show: f(x) has no…

Q: 2 1. det C = 2 4 5 123 14 6 81 det F = 47 15 5 21

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Q: 10 0 01 det D = 64 2 4 15 5 21 03 01 det E-46 60 7 5 21

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Q: Example 10.15. Apply Runge-Kutta fourth order method to find an approximate value of y when x = 0.2…

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Q: 10. An irreducible polynomial f(x) over a field of characteristic p> SECA ELM

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Q: Which of the following refers to backward - difference formula? Why? You can give your own example…

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Q: QUESTION 2 A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)² = 2y, the…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Graph several level curves for z=2x-y

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Let K be an extension of be an algebric element o 2 F Show that a ² is algebr

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Q: 1) Identify whether the given set is a well-defined or not. a. Factors of 50 b. Even number c. Happy…

A: Set: A well-defined collection of objects or elements is called a set. We can represent a set in…

Q: Solve the following differential equations: 1. () + (x −2x*)y'+xx=0

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Q: Determine the value of angle in the following equations. cos 0 0.4917 sin = 0.0859 8 = tan ¹8.031 e…

A: Solution : 1) cos(θ)=0.4917 ⇒θ=cos-10.4917 ⇒θ=±60.55°+360°k Where k∈ℤ 2) θ=tan-18.031 ⇒θ=82.9°+180°k…

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: We will use integral to find force on trough . 1st will find force on a horizontal slice of trough…

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: Example 10.4. Find by Taylor's series method, the values of y at x = 0.1 and x = 0.2 to five places…

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Q: Example 11.1. Classify the following equations : au a²u d²u du (i) +4 0x2 +4 Əxdy 2 ông Ôx ди +2- =…

A: Given the second order partial derivatives; ∂2u∂x2+4∂2u∂x∂y+4∂2u∂y2-∂u∂x+2∂u∂y=0…

Q: f(t) = 4t³ sin t

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Q: 2 Example 10.8. Using Euler's method, find an approximate value of y corresponding to x= 1, given…

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Q: | Example 11.4. Solve the Laplace equation ux + y = 0 given that xx 0 11.1 17 19.7 18.6 0 21.9 0 21…

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