Construct the multiplication table for Z5 Using this table, or otherwise, determine the following x in Z5 (i) x × [3] = [4] (ii) [3] × x = [2]

Q: 3.21 Pointwise maximum and supremum. Show that the following functions f: R" → R are convex. (a) f(x...

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Q: dx (x+5)+9

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Q: Find the volume of the solid shown here. 10. Round to the nearest hundredths place and/or leave in t...

A: The volume of a triangular pyramid is calculated using the formula: V=13×A×h, where A is the area of...

Q: Use the substitution x = e' to transform the given Cauchy-Euler equation to a differential equation ...

A: Given differential equation is x2y''-3xy'+13y=4+7x and also given that  x=et ⇒t=lnx ⇒dtdx=1x Now, dy...

Q: List the first 10 terms of the sequence whose nth term is 3 raise to n − 2 raise to n.

A: Given  Sn=3n-2n  

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. xy' = y ex/y) – x

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Q: 5. Use the Gaussian Elimanation (a) to write the following agumented matrix in the reduced row echol...

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Q: 1) Find the number of terms in the geometric progression 6,12,24, ..., 1536 2) Find the 10th term o...

A: to find 1)  the number of terms in the geometric progression 6,12,24, ..., 1536 2)  the 10th term of...

Q: Use periodicity to first rewrite each expression as the same trigonometric function of an angle in [...

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Q: Which matrix represents the number of walks of length 2 and how many walks of length 2 are in the gr...

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Q: Let u(x, y) = 2x + 3x²y - y³. |(i) Show that u is a harmonic function. i) Find a harmonic conjugate ...

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Q: Agriculture The number of farms in Iowa (in thousands) can be modeled by N(t) = 119(0.987)', where t...

A: Using the properties of the logarithmic functions, it can be written that: lnab=ln a+ln bln ab=blna

Q: C. Identify the proper term for each of the following: 5. WUY 6. ZVDY 7. ZVUY

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Q: 2 4 1 find A- by the cofactor method. 0 1 0 0 2. If A = 4 - 3 such websites.

A: We need to find the inverse of the given matrix using the cofactor method. First we will find the de...

Q: Solve using method of undetermined coefficients (D²- 2D+2)Y 24 e* sın 3x

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Q: 3. Ca For all sels A. Band C. A-CRIC) = CA-B)NCA-C)

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Q: Solve. Enter the coefficient (number before the variable) into the space provided. ENTER ONLY THE NU...

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Q: Find the Fourier coefficient c and the projection cw of v along w for each of the following. (а) у —...

A: Solution :-

Q: Q4: using scalar prodect to find the angle between A= 2i+3j+1k B= -4i+2j-1k

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Q: Which adjacency matrix represents graph G? b d e G No answer provided го 1 1 0 01 10 1 1 0 |1 1 0 1 ...

A: Adjacency matrix representation

Q: As an industrial designer you are designing a plastic bottle to contain a new soft drink product. As...

A: Given: Consider the varying radius of the bottle is given by xy=0.0018y3-0.067y2+0.5y+4.5 a) Volume ...

Q: 0 > 0 soɔ 19. ta 0 = -3, sin 0 0> 2 3 13. cos 0 =

A: Part (13):-  Given that cosθ = - 63,     π2<θ<π  

Q: 10. Without solving for the particular solution, what would be the correct form of the particular so...

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

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Q: 10. Let - 2 1 0 A=| 0 4 3 1 (a) Find elementary matrices E3 E,E,A = I3 (6) Express A as a product of...

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Q: (-1)"n For positive integer n, let a, = 3n (a) Determine whether the sequence {an} is convergent. 00...

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Q: Which adjacency matrix represents graph G? b d e G го 1 0 1 1 0 0 0 1 a 1 1 1 1 1 1 0- ro 1 0 01 1 1...

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Q: Let f(2) = |z+ 21? Part (a) Using Cauchy-Riemann equations, show that f(2)is not differentiable ever...

A: Cauchy - Riemann equation is used

Q: Consider the below data set: x 75 80 93 65 87 71 98 68 84 77 y 82 78 86 72 91 80 95 72 89 74 (a)...

A: we have given the data x 75 80 93 65 87 71 98 68 84 77 y 82 78 86 72 91 80 95 72 89 74 To sh...

Q: Evaluate the permutation. P(n,1) P(n,1)=(Simplify your answer.)

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Q: Evaluate the combination. C(44,22)= …

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Q: 2. Write an equation of a line that is parallel to y = 3x - 4 %3D

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Q: Lateral: A = %3D m2 Your answer #4 * Total: A = m2

A: Concept: Lateral surface area is given by: Here we may obswerve that there are six triangles in the ...

Q: maximise x1 + 2x2 subject to -x1 + 2x2 < 6, x1 + 3x2 < 12, X1, X2 20

A: Linear programming, graphical method

Q: 17. 1 + COS n n e n = 1

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Q: Problem 6. Let A be an mxn matrix. Show that if AA" = Omxm, then A = Omxn:

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Q: Use Kruskal's algorithm to find the minimum spanning tree of graph G. V 7 5 m 8 4 b 2 3 6. 10 G e

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Q: Let the function f (x) = x² . 5k (a) Find " f(x)dx by completing the following table using Romberg a...

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Q: If f(x) = x2 – 5x + 7, what are the co – ordinates of the minimum of y = f(x – 2)?

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Q: Answer T if the argument below is valid; F if it is invalid. All teachers occasionally make mistakes...

A: False because all teachers make occasionally mistakes not every time that means if normal situation ...

Q: (1) Let G be a group of order 94 = 2 x 47. Let Z(G), as usual, denote the center of G. (a) For each ...

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Q: 9. Suppose that three industries are interrelated so that their outputs are used as inputs by themse...

A: We can solve this by using AP= P

Q: 1. Express the following as a single log 3log xy-log x +log y a) 6log x b) 3log x c) 6log y d) 3log ...

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Q: 5x+16y+10z = 45 3x+2y+7z =17 5x+y+3z=9

A: The given equations are 5x+16y+10z=453x+2y+7z=17  5x+y+3z=9 Here, we have to find the third iteratio...

Q: Find the area of the region bounded by e21.2.png f(x) = = a/4 + 3x – x² and the x -axis using Left R...

A: Left riemann sum  ∫ab  f(x)dx≈Δxf(x0)+f(x1)++f(x2)+....+f(xn-1)+f(xn)

Q: A hole is drilled through the center of a sphere x²+y² +z? = R,², leaving a ring-shape solid. If the...

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Q: You are going to visit all of the cities. You live in city A. Use the nearest neighbor method to det...

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Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x € R: 1/x e A}. 1...

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Q: Problem 8. Determine all 2x2 matrices A with the property that AB = BA, for every 2x2 ma- trix B.

A: We have to find type of matrix A which will satisfy AB=BA 

Q: Q 2: Halley's iterative method for solving a nonlinear equation f(x) = 0 can be written as 2f(xn)f'(...

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