Enter an example of an equivalence relation R on the set X = {0, 1, 5, 6, 8} such that all of the following are true: (5,0) = R; (8,6) # R; |[1] R = 2. ● ●

Q: Find £f3² ܠ S 349s+5 7

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Q: Consider the initial-value problem y" + 4y = g(x) where y(0) = 1, y'(0) = 2 Jsinr 0 π/2 (a) Find a…

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Q: Use Stokes's Theorem to evaluate [F.dr where F = (z−y)i + (x−z)j + (x−y)k_and the surface S is…

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Q: 4. Let f(x, y) = y²exy. (a) Find the normal vector to the graph of f(x, y) at (0, 1, 1). (b) Find…

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: The figure below is a plot of the equation of the line y = A/x where A = 5.8. a) Determine the…

A: a. The formula for length of a curve is defined as, L=∫x1x21+dydx2dx Here we have given that y=5.8x,…

Q: x(t) = −jle/¹10 mt.e 110 int.e-ㅠ 27/10 m². - fr mt.e x(t)fe 2 -e-j10mt. 6 e _j2π 3 fr 6 -e-¡10nt, e…

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Q: 5. Racing cars are driven by Mr. Lopez and Mr. Magallon are side by side at the start of the race.…

A: first change the unit of velocity to feet sec 1mile per hour=52803600feet per second…

Q: Prove that for Vr > 0, s > 0, √√r + √√5 ± √√r + s r, s

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

Q: Carry out Euclid's algorithm to find d = gcd(116, 22). In the notation of the lecture notes, bo= 116…

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Q: Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of…

A: Given that F→=2xy,4x2−y2 and R is the region bounded by y=x4−x and y=0. a We have to compute the two…

Q: Find the inverse Laplace transform of -3888+48s²-3s5 -81s+s6

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Q: For items 1-10 Mamada has four provinces namely, Aba, Kada, Ega, Haila with population size of…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: b\ Find general solution and paticular solution to the following 2nd order ODE initial value…

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Q: The discrete-Fourier transform (DFT) of a N length sequence x(n) is given by OX(k)= EN=1 x(-2n)…

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Q: Calculate the following triple integrals: 1 S S Sr (z+y+:+1)² dædydz, where T is the region bounded…

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Q: solve by partial fraction method Y(z) = = -1 (z-3-1)

A: Given: yz=-1z-3-1 We have to solve by the partial fraction method.

Q: Use sigma notation to write the sum. 1 1 9 (1) 9(3) 14 i = 1 + 1 9(2) + X ++ 1 9(14)

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Q: Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of…

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Q: Question 11 For the given data: 1; 9; 15; 22; 23; 24; 24; 25; 25; 26; 27; 28; 29; 37; 45; 50…

A: Number of terms, n = 16 Lower quartile, Q1 = [(n+1)/4] th item Q1 = (16+1)/4 = 17/4 = 4.25th term…

Q: 2.) Evaluate (3-4i)(2 + 5i) 10/60 + 20/-45

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Q: X 2a à 2a a y

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Q: d) lim (xe” +1)/* 5/x x →0*

A: I have given the answer in the next step. Hope you understand that

Q: A curve is defined by y = 8 x² + 2 I. Find the turning points of the curve using differentiation.…

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Q: Problem 7. Compute det A, where (a) det A = 0 (b) det A=-12 (c) det A = -24 (d) det A = 24 (e) None…

A: We Know that,  Property A : If all the elements of a row (or column) of Matrix are zero, then the…

Q: Use sigma notation to write the sum. 2-4+8-16 + 32-64 Σ

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Q: QUESTION 5 a) Let F(x, y, z)=xyi + (y² + cosz)j + ek where S is the solid bounded by the cone z =…

A: a) Given F⇀x,y,z=xy i⇀+y2+coszj⇀+exyk⇀ So, div F⇀x,y,z=∂∂xxy+∂∂yy2+cosz+∂∂zexy=y+2y+0=3y By…

Q: Find the formula for bn given by the recurrence bn+1 = 3bn + 2n, bo = 1

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Q: 5² (2²-10x) dx write the integral using the limit and som formula de finitier of the integral in the…

A: Given That : ∫05(x3-10x) dx To Find : integral in the form of the limit of the sum

Q: Find all values of h such that the columns of A are linearly dependent, where -3 27 7 1 13 - h A = 1…

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Q: Problem 12. Let A = = (a) AB - BA= [od] (b) AB-BA = (c) AB - BA = [1 [3 -1 -3 1 [33] 0 3 -63 (e)…

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Q: Q5:al Using the Runge-Kutta method, solve x = 0.2 when h = 0.2. dy = x + y² with the initial…

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

Q: a) Evaluate the surface integral 2x²y dS over the surface y² + z² = 1 between x = -1 and x = 5.

A: Evaluate the surface integral ∫∫δ 2x2y dS over the surface y2+z2=1 between x=-1 and x=5. If ru, v is…

Q: Use dot product to find the interior angles at A, B, and C of the triangle defined by the three…

A: HINT:  To calculate the angle we need the following thing: cos(α) = A.BAB We need to calculate AB…

Q: Obtain al the Sylow p-subgroups of (Z/2Z) X S3

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Q: Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of…

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Q: (6) A loan of $20,000 is to be repaid in uniform monthly payments over 3 years. If the interest is…

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Q: Determine all the roots of the given polynomial function using Bairstow's method. Show the step by…

A: Given: fx=x3-4x2+3x-1 and the initial values are r=0 and s=0

Q: 5. Let f(x, y, z) = -k x²+y²+z² with k a constant. A. Calculate the maximum rate of increase of f(x,…

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Q: Let (z-a)" dz where a € C and the parameterization of the curve is a = {|z| = r}. Apply the…

A: Hint: The statement of fundamental theorem  of complex analysis is: If a continuous function f has…

Q: -3 3 -3 Choice 1 -2 mm 0 1 -1 Choice 3 Choice 5 -2 -1 1 0 1 Choice 2 2 Aha -2 Choice 4 ANA 0 -2 3 X

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Q: SITUATIONAL ANALYSIS: Gardening has always been touted as a relaxing recreational activity that can…

A: Here we have given that Liza take 2 hour to plant 50 eggplants. So, in 1 hour she will plant, 502=25…

Q: Calculate the area between 0 and 7 /2 of the r = 10 + (1 + cos²0) curve, the x and y ordinates of…

A: Given that r=10+1+12cos2θ To find the area between the interval 0,π2 using Simpson's rule where…

Q: 2. For a square with corners labelled [1,2,3,4] consider the following trans- formations: No. (i)…

A: given square  (a) if apply tranformation (iii) to the square in figure above and then apply…

Q: Find the general polynomial output is a linear transformation with T ¹8- T -1 = in terms of a, b, c,…

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Q: 1. Jet skis were sold at miscellaneous discounts: 30% trade; 10% volume; 5% loyalty; 1% out of…

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Q: What is the maximum number of edges of an undirected simple graph with n vertices? Assume it is…

A: To find the maximum number of edges in an un-directed simple graph with n vertices.

Q: 42 The solution of the system X'-(-3); x-(1) 0 Select the correct answer. O a. -2 *x-(( 3² )…

A: Given: X'=42-3θX;  Xθ=1θ We have to find the solution to the given system.

Q: a class, we have discussed classifications (or descriptions) of rings. For example, rings with…

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Q: A) Suppose that Clara runs faster than Kathy throughout a 1500-meter race. Let C'(t) be Clara's…

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