Let 4 -2 1 -2 -2 2 6 12 11 2 9 20 10 10 15 28 14 5 4 2 3 A = 6 -4 -6 -3

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A: Here we use complementary approach. First we find total ways of seating of ten leaders and then cons...

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Q: Evaluate the unoriented line integral (2æ² + y² + z²) ds along the parametric curve a : [0, 1] → R³ ...

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A: This is a problem of counting.

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A: let x be the number of fraudulent transactions be the probability that the transaction is fraudulent...

Q: 1. Prove that cos²z + sin²z = 1 eiz + e-iz eiz – e-iz Note: cos z = and sin z = ; let z = x + iy 2i

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Q: fourier series solve -x^2+5 [-2,2]

A: The given problem is to find the Fourier series expansion of the given periodic function with period...

Q: Simplify: i29 + i²1 + i2050 in form a + bi.

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Q: Compute the Laplace transform of the following: f(t) = t2e 3t

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Q: V f(x = - (x – 8) (x – 15) V g(x) = -x + (10,15) 15 V Label: (10, 15), (14,9) V Label: 10 (14, 9). P...

A: To find the area of region enclosed by functions f and g

Q: (a) The equation of a surface is given as f(a,y) = e"(x* -ay + y*). 1 (x2 (i) Calculate all first an...

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Q: f(x, y, z) = z(x² + y² + z²)-3/2 over the part of the ball x² + y² + z² 2.5

A: Here we will use cylindrical co ordinate system to find value of integral  By using above figure .r...

Q: y Ct) = 5e - 2t Cos 67 fCt) = 3c 4t C1- 3t + 2t 2) -4t (1- 3t + 2t²)

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Q: 6. Let f: A R be a continuous function. Show that if A is compact then sup f(A) e f(A).

A: Sup(A) under the continuous function

Q: Solve the following matrix equation for a, b, c, and d. а - b b+c 16 1 3d + c 2a – 4d 12 14 a = i i ...

A: Given a-bb+c3d+c2a-4d = 1611214

Q: 2. An automobile travelingat the rate of 20m/s is approaching an intersection Whenthe automobile is ...

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Q: If z^5=1-2i

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Q: Homework. Find Sup, Inf, Max, Min of the following subsets of R: 2) S2 = {x ER: 3x2 – 10x + 3 <0}. S...

A: We have to min, max, sup and inf of given set.

Q: 1. If 1+ A is nonsingular, show that (I+ A)"' and I– A commute and (I + A) +(I+ A')"=1, where I is t...

A: Given I+A is nonsingular and we have to show that I+A-1 and I-A commute and  I+A-1+I+A-1-1=I

Q: Calculate the total amount earned at the end Principle -10 000 Rate -12% Number of years-36 months

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Q: 2. Give the state table for the finite-state machines with the following state diagrams. 0,0 Start S...

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Q: Obtain an asymptotic expansion for I(z) = S e-zy*/2 cos y² dy, as z → 00 along [0, 0).

A: Here, we need to find an asymptotic expansions for I(z)=∫-∞∞e-zy22cos y2dy, as z→∞ along [0, ∞). We ...

Q: Determine which graph satisfies the following properties. (-2) 0 げ(-2) > 0 "(-2) < 0 Graph A Graph B...

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Q: Consider the following initial value problem. y" + 7y' + 12y = 0, y(0) = 2, y'(0) = B, where 3 > 0 D...

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Q: 3. у %3D С1 е2х sin3x cos3x + c2 e²x

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Q: tain the principle root of JZ rectangular form 3-j4

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Q: Find three (3) distinct roots of the cuberoot of 8 and express the root in rectangular form.

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Q: 1. Using the table of values, estimate the slope of a tangent line tangent to the curve f(x) = x³ – ...

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Q: prove that it is not possible to find four distinct prime numbers p, q, r, s such that ps − qr = 0.

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Q: Solve the following differential equation using determination of integrating factors: 2y (x2 - y + ...

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Q: 13.10 Find the minimum of the following function using simulated annealing: f (X) = 6x – 6x1x2+ 2x3 ...

A: f(x)=6x12-6x1x2+2x22-x1-2x2  fx1=12x1-6x2-1  fx2=-6x1+4x2-2

Q: A Box with a Square base and an open Top must have a volume of 500 cm'. Find the dimensions of the B...

A: A box with a square base and an open top must have a volume of 500 cm. To find: The dimensions of th...

Q: 3. In (sec L-10-1ki ])

A: For the detailed solution follow the next steps.

Q: In the year 1970, the median price for a house in Idaho was $54,200. By the year 2000, the median ho...

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Q: Choose the correct answer to the question below: * Which of the followingis logicallyequivalent to -...

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Q: Prove that the the following statement is true: if S = {⃗v1, ⃗v2,..., ⃗vn} is a basis for a vector s...

A: Given that S=v1,v2,....,vn is the basis of vector space V. Now let α∈V be any element of V and we wr...

Q: Numbers to Use 1 2 3 4 + 24 + 24 > 24 24 24 24 24 24 24 24

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Q: H.w/ Findthe forthes tand closest paints.ah the sphere x+y+2'=36 from p(l2,2).

A: I used Lagrange Multiplier to solve this. 

Q: (b) Prove that if N 4 H, (N is normal subgroup of H) then o'(N)<G (ø'(N) is normal subgroup of G).

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Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: d/dx (xnJn(x))=xnJn-1(x)

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Q: y" + y = e=t ; y(0) = y'(0) = 0

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Q: 7. Solve the recurrence relation A, = 4 An2- 3-A-1 subject to the initial conditions A, = 5 and A, =...

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Q: Compute the Laplace transform of the following: f(t) = t?e-3t

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Q: 1. Solve the initial-value problem: y' + 4y = e4", y(0) = e -4t (a) Using Laplace transforms. (b) Us...

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Q: Exercise Find ker f and Im f for f: (S3,0)→(Z2, +) such that so if x is evev permutation f(x) =} 1 i...

A: Ker(f ) is the set of all those elements of S3 which map to identity element of Z2  i.e ker (f) = { ...

Q: 4.6-14. Consider the following problem. Maximize Z = -x, + 2x2 + X3, subject to 3x2 + X3 s 120 X - X...

A: The problem is converted to canonical form by adding slack, surplus and artificial variables as appr...

Q: 10. S elog2 csc e* dx V1+tan²ex

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Q: 1 1 1| 1 1 If A =|1 1 1], then A2018 = A?

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Q: A carpenter's enterprise produces tables and chairs. For the construction of a table, 30 meters of w...

A: Given A carpenter's enterprise produces tables and chairs. For the construction of a table, 30 meter...