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Q: 2. Let A = {1,2, 3, 4}. (a) Find a function f : A → P(A) so that 1 e f(1). (b) How many functions f:...

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Q: Let G be a finite group and H1, H2, ., Hk be subgroups of G. (a) Show that k H1n H2n. n Hk < G. Hi %...

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Q: Find a remainder when dividing 23490 with 7.

A: We have to find the remainder when dividing 23456 with 7. Fermat theorem:- If p is prime then ap−1=1...

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Q: Obtain the general solution valid near the origin: x(x − 2)y" + 2(x − 1)y' − 2y = 0

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Q: HW3: Using the variables separation method, find the solution for the = 0 regarding the initial cond...

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Q: Find the area under the standard normal curve. 1. To the right of z = 0.29 and to the left of z = -...

A: We have to find the area under the standard normal curve to the right of z=0.29 and to the left of z...

Q: Determine whether each of the functions below is positive definite or not. a). V (x1, x2) = xỉ + x b...

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Q: What is the range of the function shown in the graph below? 12 11 10 8 7 6. 4 3 2 1 -12-11-10 -9 -8 ...

A: According to graph, we can see graph takes all values of y-axis. So, the range of the graph is the s...

Q: Use layman's term to discuss Broyden's method for solving nonlinear equations.

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Q: A rectangular tank with a square base, an open top, and a volume of 27,436 ft° is to be constructed ...

A: Let the dimension of the tank be x ft×x ft×y ft. Given, volume=27,436 ft3. ⇒x2y=27,436⇒y=27,436x2 He...

Q: - Part 1 Find the maximum value of the objective function 8y — 2х subject to the constraints 9х — 10...

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Q: (a) Find the solution to dy: dt dyz Y1 + 3y2 3y1 – V2 dt with the initial condition y1 (0) = 3, y2(0...

A: Solution a: Given system of differential equation is dy1dt=3y1-y2dy2dt=y1+3y2 with initial condition...

Q: Lauren is self-conscioas about her cooking abilities and fears her new boyfriend will judge her hars...

A: Solution

Q: cos (z)–2 cos(z)–3 cos²(z)–1 Determine the asymptotes of f (x) on the interval 0sxs 27. %3D a) There...

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Q: Find the volume of the solid with the base is an elliptical region with boundary curve 9x? + 4y2 = 3...

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Q: Let A = 1.8 -6 : J.c = , ].- [1 2 l4 5 6] [1 0 lo 1 [0] ol.C = 6 , and V = |1|. What is the sum of t...

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Q: Let v={(x,y,z,u) ∈ R^4 : y + z + u = 0}, w={(x,y,z,u) ∈ R^4 : x + y = 0, z=2u be two subspaces of R^...

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Q: II. Use Gaussian elimination in matrix form to solve the system. ( z+ 2y – 4z = 5 2x + y – 6z = 8 4x...

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Q: [1 Which of the following values of a will make 2 Lo 2 non-invertible? a. А) 5 B) 4 1

A: Option B is correct

Q: x +3, (x + 3)2 + 22 1+- 32

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Q: 2. Determine if the series 3n 1 n=1 converges or diverges.

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Q: 20. Solve the difference equation y, +Yn-1 = Un +÷Un-1, where un is unit step sequence.

A: Given difference is  yn+14yn-1=un+13un-1 where un is the unit step sequence and is defined as  un=1,...

Q: For the function h (x) = (2x + 1)° find two functions, f and g, such that h (x) = f (g (x)). O a) f ...

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Q: Rate will be given. No long explantion needed. Choose the correct answer. a. [19   -12   11] b. [ ...

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Q: Find a general solution to the differential equation using the method of variation of parameters. y"...

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Q: In how many ways can 5 people arrange themselves in a row for picture taking?

A: Given that there are 5 people in a group.

Q: Assignment #6: Use Newton- Raphson Method to estimate the root of f (x) = ln(x) + 1 employing initia...

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Q: Ten runners join a race. In how many possible ways can they be arranged as first, second, and third ...

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Q: A lamina (flat plate) bounded by y = Vx , y = 0, and x = 27 with uniform density p = 8. b) Find the ...

A: given function y=x3  , y=0  , x=27 with uniform density ρ=8 find the exact y-coordinate of the centr...

Q: 5. Find the complement of XY' + X'Y

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Q: If Jun has 12 T-shirts, 6 pairs of pants, and 4 pairs of shoes, how many possibilities can he dress ...

A: Jun has 12 T - shirts , 6 pairs of pants and 4 pairs of shoes. We know that combination corresponds ...

Q: The area enclosed by the curve x2 +y² = 25 is revolved about the line x -10=0. Find the volume gener...

A: Given curve is  x2+y2 =25 This is equation of a circle of radius 5 and center at (0, 0). Line x = 10...

Q: 6 -2 Use Gauss-Jordan Method to find the inverse of -4 1 1 1.

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Q: Definition We say that a sequence {fn(x)} of functions converges pointwise to a function fo(x) on an...

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Q: Let o be a fixed odd permutation in Sn. Show that every odd permutation in Sn can be written as a pr...

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Q: -2 -1 2 01 4 5 3 21 3. Which of the following 5] 1 -31 , B = B. and C = Let A = -1 6. 2 4 is the thi...

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Q: The ciphertext letter for T when the congruence is C =( P + 10 ) mod 26 is

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Q: Theorem Let A a o – algebra. Let P:A (0, 1] so that P(2) = 1 and it is additive. Then it is equivale...

A: Given that A be a σ-algebra. Let P:A→0,1 so that PΩ=1 and it is additive. To prove that given parts ...

Q: 5. Determine the interval of convergence of the following series: x + 3. (x + 3)² 1+ 22 + .. 32 Show...

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Q: (t²,0 2 7. in terms of unit step function, hence obtain LT. %3D

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Q: [1 0 Which of the following values of a will make 2 0 Lo 2 a non-invertible? -al 2.

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Q: The determinant below is equal to ... 1 -2 5 2 0 0 3 0 2 -6 -7 S 4 4 -6 -3

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Q: diffrentfal Equatton 2c05(5t+ 1•0472) UL4) %3D %3D where ultl Unut stop funchion finell the compleme...

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Q: Obtain a numerical solution of the differentia I dy equation: - +2y=1 using the Runge Kutta method i...

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Q: 9. -2 1 1 -4 1 -1 1 1

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Q: A rectangle initially with dimensions of 16 cm long by 10 cm wide undergoes a change of 5% in its le...

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Q: What value for the function f (x) = change of 0? 2 cos (x) +1 gives an instantaneous rate of %3D a) ...

A: Given f(x) = 2cos(x) + 1

Q: if an investment of P750,000 that matures in 15 years but with certain specification that P 500000 w...

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Q: find the range, rank, ker and nullity of the following linear transformation T:R^4 -> R^3 such that ...

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