Which of the following situation illustrates permutation? choosing to literature books to buy in a bookstore O forming a committee of councilors assigning rooms to conference participants selecting 10 questions to answer out of 15 questions in a test

Q: N-1 N, k-r = mN, m an integer | Se-i(27/N)(k-r)n n=0 0, otherwise

A: To prove: ∑n=0N-1e-j2πNk-rn=N,k-r=mN, m is an integer0,otherwise

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: Introduction: Let f(x) be a continuous and nonnegative function. R is defined as the region bounded…

Q: Solve the Following linear systems using Causs Elimination X +3y-7%= 2 2X –4y +62 =5 (2 7X +5y +9Z=…

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Q: Maximize z = x + 3y 3x +7y > 63 54 at

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Q: Calculate the cross product assuming that u X w = (-2, -3, -2) (2u + 4w) × w = {

A: Given u × w = -2, -3, -2

Q: Let X = R2 - (0, 0) and ~ be defined over X by setting X~y + y = tx for some non-zero t €R.

A: The given set is X=ℝ2-0,0 and ~ be defined over X by setting  x~y⇔y=tx or some non zero t∈ℝ. (a). To…

Q: Question 8 (a) Use the pigeonhole principle to show that if you randomly arrange the numbers 1–12…

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Q: Find a vector ī that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4, –2),…

A: We find a vector v that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4,…

Q: Give a power series representation for the following function and determine its radius and interval…

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Q: 3. Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. (a) Find all point(s) of…

A: It is given that r1=3cosθ and r2=1+cosθ. We have to find the points of intersection of the curves r1…

Q: hw.2 Evatuate the fotawing cartesian integrats by changing theminte equivalent Pala integrals: dy dx

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Q: 2 Evaluate the feltowing cartesia

A: Given,        ∫04∫325-x2dydx=

Q: 5. Find the inverse Laplace transform of the function as + b H(s) = .а — 9, b — 10, а — 4, В — 3. (s…

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Q: Fined all eigen values and eigen vectors of the matrix and check that P'ẠP is diagonal matrix 8 - 8…

A: Solve A-λI=0 to find the Eigen values.

Q: Let -5 -8 18 28 14 B = 19 12 10 24 17 (a) Find the reduced row echelon form of the matrix B. rref(B)…

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Q: (b) The affine cipher E is given by E(x) = 17x - 3 (mod 26). The conversion table for letters and…

A: Given that The affine cipher E is given that Ex≡17x-3 mod26 (1) consider…

Q: Which of the following expressions represents the number of distinguishable permutations of the…

A: We want to find total number of permutations of word CONCLUSIONS

Q: Jesaki Furniture Company has two plants that produce lumber used in manufacturing tables and chairs.…

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Q: Your answers must be well-justified. Show all your steps! (a) f(x) = (1 – 2x)³/4 (b) g(x) = x³e2r

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Q: f(x) g(x) -2 1 1 1. -1 4 2 1 9 3 16 2.

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Q: please send handwritten solution Q15 complete solution part b

A: Maclaurain Series for the function

Q: Q9. Find the equation of the tangent plane to f(x, y) = x ln(y) +x²y+3 at the point (x, y) = (2, 1).…

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Q: 130=c² e coordinates of R so th a parallelogram. Prove a parallelogram.

A: INTRODUCTION: If both pairs of opposite sides of a quadrilateral are congruent, then the…

Q: Let S' = {x € R² : ||x|| = 1} C X. and endow S' with the same equivalence (b) relation - as above.…

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Q: (x – 2)² – In x = 0, [1,2]

A: Suppose the root of the function fx lies in the interval xn-1,xn. To determine the solution of the…

Q: .) Find its domain and range b.) Draw a contour map with the following k values, k=-1,0,1,2,3 c.)…

A: Given function is: fx,y=4x2+y2

Q: Use Laplace transform and its inverse to solve the initial-value problem. y' = 2et; y(0) = -1 %3D…

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Q: Find the sum A+B+C of the constants A,B and Cappearing in the Taylor series expansion given below:…

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Q: Evaluate the surface integral. JI (12 + y2 + 2) ds S is the part of the cylinder x2 + y2 = 9 that…

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Q: According to a recent study, 1 in every 7 women has been a victim of domestic abuse at some point in…

A: Introduction: The binomial distribution is a discrete probability distribution. It is a finite case…

Q: Problem 1. For this problem, let A := |0 1 0 2 1 2 O WeightedOrderAlg.java - Notepad File Edit…

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Q: if it was X-fask and Y-PSm t it 2.

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Q: Q1. Let R be the region enclosed by the curve y = 3x+et and the lines x = 1, x = 2, and y = 0 Let S…

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Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find | () dr.

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Q: Let A3 x 3 is a real symmetric matrix and d1 and 12 are the eigen values of the matrix. The 2 1…

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Q: Assume that  dx1/dt= x1(2-x1)-x1x2 dx2/dt= x1x2-x2 a) Graph the zero isoclines. b) Show that (1,…

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Q: A company has 30,000 employees in three cities as shown in the table below. It wishes to give…

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Q: The probability that​ brown-eyed parents, both with the recessive gene for​ blue, will have a child…

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Q: In questions 2, 3, and 4, consider the following biobjective linear pro- gram (BOLP): – x2, f2(x) =…

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Q: 5. Find the inverse Laplace transform of the function as + b H(s) : (8 – a)2 + B2"

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Q: Sketch the trace of f in the xz-plane. Find the directional derivative of f in the direction of the…

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Q: Example: Find Lt sint ? Solution:

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Q: (a) / 6y drdy = fip (b) 6z' y dydr dr /-

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Q: Solve the IVP. Find and verify the condition num- ber. y' = -ty; 0<t < 5, y(0) = 2, 2.5.

A: The solution is

Q: (a) (i) Use Euclid's algorithm to find a multiplicative inverse of 23 modulo 75, and hence solve the…

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Q: 2 V4-x? xy dyd. + y? а. x² 0 0 V

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Q: in boards a Ferris wheel at the 3-0'clock and rides the Ferris wheel for one full rotation (as shown…

A: In this question, the concept of a trigonometric function is applied. Trigonometric Function The…

Q: [3 Compute the mnatrix exponential et for the diagonal matrix A = %3D

A: We have to find the exponential matrix of given diagonal matrix

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(2t), y(0) = 9,…

A: Solve INTIAL VALUE problem, using Laplace transferoms

Q: = (9,4, 5) w = (10, 10, 10) Find the cosine of the angle between v and w. cos 0 =

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