i. An (BUC) = (An B) U (ANC)

Q: How many derangements has the set. S? How many derangements of S have 9 in the 2nd position and 1 in…

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Q: Suppose that at each birth, having a girl is not as likely as having a boy. The probability…

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Q: Is there any value of k that will make the planes kx + 2y-2kz + 3 = 0 and x-2ky + 5z = 0…

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Q: Ⓒ 22 it M = {1, 2, 3, 4, 5, 6,7,8} and of is given in the Table: 1 2 3 4 5 6 7 8 I 2 6 1 3 8 457 1)…

A: Given: The set, M=1,2,3,4,5,6,7,8 and the permutation, M  1  2  3  4  5  6  7  8F   2  6  1  3  8  4…

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32) sin(t)dt

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Q: Let {f} is sequence of measurable functions Let there exists F = { x: limf, (x) E } 1-00 Show that…

A: see my solution

Q: 5. The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

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Q: 1. Solve the difference x²-2x-8 < 0.

A: Solution of the difference equation

Q: Which of the following sets is linearly independent? -ex-y-5=x+C OM= {(1,3),(3,9),(-1,-3)) M=…

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Q: Assuming that all matrices are n x n and invertible, solve for D. BCAT DCBTA = BCT. OD = C-¹A BA-¹…

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Q: Find the equation of the tangent line to the graph of F(x) = c2x²+2x+1 sech a ev dy at x = 0.

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Q: Your parents helped you buy a car. You were supposed to pay then back $2000 sixty days ago and $1800…

A: Solution:-

Q: -8 Consider f(x)= 24x² + 10x + 2 & 9x=1/ Define it fog(x) = gof (x)

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Q: H.W: Solve the differential equation y'-(1+x)(1+ y²) = 0

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Q: b) The coefficients of the following system are taken from GF(2). Solve it using Gaus- sian…

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Q: Evaluate the double integral that will find the volume of a solid bounded by = = 1-2y²-3r² and the…

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Q: (a) (i) Rationalize the denominator of (iii) Hence, or otherwise, simplify -4 +(12-√32) 3+2√2 (b)…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: To what values does the Fourier sine series converge at z = =0, x= π/2, x = π, x = 3π/2, and z = 2π?

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Q: X[k] =a* [u[k] - u[k − N]]

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Q: In each of Problems 13 through 20, verify that each given function is a solution of the differential…

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Q: 4. A firm can produce a quantity q(x, y) ((x + 1)³+y³)¹/3, in kg, of its good when it uses rkg of…

A: Solution:-

Q: Use the Solovay-Strassen Primality Test to determine whether 437 is prime, given the fact that…

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Q: Q2/ Find the slope of the tangent to the curve at x = 8 4 + पड़े + y = 3x5 + 2³√x+2+√5 X-Y 3x²

A: We know that slope (m) of the tangent to the curve y=f(x) is :  m=dydx We have y=3x5+2x3+13x2+5

Q: 5. The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

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Q: ΣΣ8.5 = t=1j=4

A: As per our guidelines we are supposed to answer only one question. Here first question answered.

Q: Evaluate: (2) A5₁ Clearly showing your working

A: We need to evaluate i. The meaning of a5(2) is the present value of an immediate annuity of an…

Q: find solution using direct integral method for the partia differential equation below: J³z = 12 xz +…

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Q: . (D²+1)y= 10e²x When x = 0, y = 0, y' = 0

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32) sin(t)dt

A: The solution of the given problem is below, using tabular integration...

Q: Let X = {6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 z e N₁ x + z = y}, where…

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Q: 3. True and False. Explanations are requied. (a) For a nondiagonalizable 3 * 3 matrix A, the number…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: A mining compariy produces'100 tons of red ore and 80 tons of black ore each week. These can  be…

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: given curves 0≤x≤10≤y≤1-x20≤z≤4-x2+y2 claim- set up the triple integral and draw the solid

Q: A resistance of 10 ohms and inductance of 4 henry is connected in series with a 12 volts battery.…

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Q: 1. In the Taylor series expansion of e* about x = 2, the coefficient of (x - 2)4 is (a) 24 (b) 4! 4!…

A: The Taylor series expansion of a function f(x) about the point x=a is…

Q: ✓(3) Prove Green's theorem for F = Y Z + x²y³j y (1,1) i (1,0)

A: Solution of the given problem is below...

Q: In each of Problems 13 through 20, verify that each given function is a solution of the differ…

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Q: Find the Inverse Laplace of F(s) = S+4 s²+8s+4

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Q: Question 2 Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the…

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Q: 3.4.6 Evaluate the line integral [sin y dx + (x- cos y) dy] taken in the anticlockwise sense, where…

A: Green's Theorem States that  Let C be the positively oriented, smooth, and simple closed curve in a…

Q: (0) = 6, y'(0)

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Q: find solution using direct integral method for the partial differential equation below: 2³ z 1 = 12…

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Q: Graph 2x + 3y

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Q: 7. Set-up the triple integral for the volume of the solid S enclosed by the paraboloid z = 4 + x² +…

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Q: Find the Fourier series for the periodic function giving below: -1, -π < t < -π/2 -π/2 < t < π/2…

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Q: Suppose y=5 cm, Y=0.1 radians, and X=1.4 radians. Determine the following quantities. Tip: Draw your…

A: The problem is solved using the sine rule.

Q: (3) Find the formula for the number of ways for putting n identical balls into k distinct boxes so…

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Q: If A, B are two n x n orthogonal matrices, then AB is also an orthogonal matrix. True False

A: Give:  If A , B are two n×n orthogonal matrices. To check: product of matrices A and B are…

Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…

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Q: What bound of error would you pose for each of the following cases? (consider rules of significant…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…