U = {1, 2, 3, 4, 5, 6, 7, 8, 9} A= {2, 3, 5, 8} B = {1, 3, 5, 7, 9} C = {3, 5} D is a set containing 2 elements and D ⊂ A' and D ∩ B = Ø. (n) List the elements of D.

Q: K be a field extension of a fi is algebric over F if and only of 5 that [56)

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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: - - * x - م - و : (of : (x) } cu

A: This is a question from the series and sequence.

Q: Exercise 4. Show that the function f is not differentiable at (0,0) f(x, y) = x³ + y³

A: We have given that ,  fx , y = x3 + y33 Here , ∂f∂x = 3x23x3 + y323 ∂f∂x = x2x3 + y323 At , x , y =…

Q: Tomas and Emilio have a budget of $200 to plan their party at a movie theater. The party room at the…

A: Consider the given inequality, 17f+2+45.99≤200 where f represent the number of friends. here we need…

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: Convert + [²√¹²5² √²¹²²²³²²³² (x² + y² + 2² )dzdxdy into an (x² + y² + ²)dzdxdy √18-1²-² coordinate…

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Q: Check the linearity, casualty, stability and the time variance of the following: 1. y(n) = 4 x(n-2)…

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Q: first 4 terms of the Taylor series for : f(x)=sin лx near a=0.5

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Q: find the fourier series for f(x) = -#-X -π<Xco- EXT period=2TT

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

Q: Question 20 Evaluate ·S= A B C D 3x5 3x4+6x3-3x2 - 6x x+In[ + In -dx. using method of partial…

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Q: 1. Use Gauss-Seidel method to solve the following linear system 10x₁3x₂ + 6x3 = 24 x₁ + 8x₂ - 2x3 =…

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Q: 1. Verify that y = e²x + 3xe²x is a solution of the ODE y" - 4y + 4y = 0. (Show all work when…

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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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Q: A space vehicle flies into a gravitational force field F(x, y, z)=-y(b²2² + a²y²)i + (b²r² + a²y)j…

A: The work done by a force field is equal to the dot product of the force field and the displacement…

Q: Suppose we want to choose 6 colors, without replacement, from 13 distinct colors. (a) If the order…

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Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx - B) + C? A) 1 B) 3 C) 0 D) 2

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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: The following data define the sea-level concentration of dissolved oxygen for fresh water as a…

A: We can solve this using given information

Q: 5. Solve the DE dy d²y xdx² dx - 4x = 0, 1<x<2 with y(1) = y(2) = 0. a) Using weak form and Galerkin…

A: Let us start solving the problem step by step    For the given DE we will start solving by the…

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: Salary Table Level 1 2 3 Salary $48,000 $53,000 $72,000 s promoted to salary level 3, receives a 2%…

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Q: Example 10.22. Using Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx =…

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Q: Evaluate the following definite Integrals by using Gamma or Beta Functions: x² So (1+x6) ³ dx

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Q: Find a non-zero vector 7 perpendicular to the vector u 12 [3]. -6

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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: Find the center of curvature of xy = 4 at (2, 2).

A: Solution

Q: Use the method of cylindrical shells to find the volume generated by rotating the region nded by the…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

A: Solution:-

Q: Let F be a field and let f(x) be an irreducible polynomial in F[x]. Then f (x) has a multiple root…

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Q: an ellipse from t

A: In the graph we have graphed an ellipse  x252+y232=1

Q: 1. Compute the volume of the torus given in the figure below using the change of variables x =…

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

A: Divides the region in two parts .

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

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Q: properties to evaluate : 8 (In x)3 dx

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Q: 2. Determining whether odd or even function, state the period. a.) b.) .

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Q: Exercises To Solve [NO.5] dx 05² 3dx (2) x²+2x+5 9x²6x+5 D

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Q: 9.M.3 A 2 × 2 matrix A is symmetric, and has eigenvalues 3 and -2. A 3-eigenvector is [3]. 5 Find A.…

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Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? (A) 1/2…

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Q: Prove that the following graph does not contain a Hamilton cycle. a b с d h g e m k

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Q: Let p and q be the propositions: p: The election is decided q: The votes have been counted Express…

A: P: the election is decided q: The votes have been counted p↔q represents if and only if

Q: Example 11.10. Solve the boundary value problem u, u under the conditions u(0, t) = u(1, t) = 0 and…

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Q: Complete the following table to evaluate the limit lim Step lim x+√x Step 1 Step 2 Step 3 Step 4…

A: The answers for each step are as follows.

Q: 3x 2x13x2x3 = 0

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Q: Example 10.2. Find the value of y for x = 0.1 by Picard's method, given dy y-x dx (P.T. y + x³y(0) =…

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Q: A tank with square base and volume 1125 cubic unit. If colouring of base and side cost $5 and top…

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Q: ould you write it out on paper or write each step clearly

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Q: Example 35. Using th d²y satisfying the differential equation v(1) = 2. + y = x, subject to the…

A: Here we need to use finite difference mthod.

Q: There are three numbers in geometric progression whose sum is 26. If the first is increased by 2,…

A: The arithmetic and geometric progressions are two important rule that terms of a sequence follow to…

Q: A vector is said to be conservative when it's: curl equal to zero Laplacian equal to zero divergence…

A: We know that ,  A conservative vector field , is a vector field  F  whose line integral  ∫C F·ds…