Prove that; It pis prime 0217. - 2 (류) (1) 8 1 ; PE+Imed B ; p= ± 3 mod

Q: Prove that the set {a + b√2 | a, b ∈Q} is countable.

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Q: Q16. Consider a game in which a fair die is rolled. If the die comes up 1, the player wins $4. If…

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Q: 8. For x < 1, Σx² = 1/(1-x). (a) Find Σnx” for |x| < 1.

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Q: Solve X x (t) = y(t) = - 17 ²7] [7] (0) - x (0) = 4, y(0) = 19

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Q: Q14. A red and a blue die are thrown. Both dice are fair. The events A and B are defined as follows:…

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Q: Find the matrix A of the quadratic form associated with the equation. 9x² - 6xy +9y2 + 24z²22 = 0 A…

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Q: For the following polynomial, one zero is given. Find the remaining zeros. P(x)=x+27x²-324, 6i is a…

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Q: Given the rectangular prism shown below, how many square inches of wood are needed to build it?…

A: To build the rectangular prism wood is needed for all six surface for all surfaces. So we have to…

Q: Suppose A and B are two finite sets such that |B| = |A| - 1 and the number of relations on A is 512.…

A: We have to find the cardinality of the set B and number of relations from B to A.

Q: af Əx Recall that a differential equation of the form M(x, y) dx + N(x, y) dy = 0 is exact if there…

A: We have to write the differential equation in the form Mdx+Ndy=0, and have to find M, N.

Q: Q16. Consider a game in which a fair die is rolled. If the die comes up 1, the player wins $5. If…

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Q: Find a formula for each of the functions graphed below. AA 17.

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: A store charges 6.5% sales tax. If you buy a product for $27.31, how much will your total bill cost?…

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Q: Indicate the partition of the set A={ x integer: 2 ≤ x ≤ 12 } resulting from the equivalence…

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Q: alculate the surface integral ff F. NdS, where F = S (u, v) = (uv, v, u) where 0 ≤ u ≤ 4, 0 ≤ v ≤ 3.…

A: The given function is, F=3xy i^ -3yzj^-4xz k^. Parametric representation of the surface S is,…

Q: State the equation of f(x) if D = {x = R | x*} and the y-intercept is (0, 2). a) f(x)= x-1 3x - 2 O…

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Q: Over what interval is the graph of the rational function positive but decreasing? 8 y 4 Gl 4 0 -2…

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Q: Exercise 2. Solve the equation [x² = x + 2y + e², y'=x-y-e².

A: Given system of equation  x'=x+2y+ety'=x-y-et

Q: - √ ² (² (x - t)u(t)dt 0 12. u(x) = 1 - - 54

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Q: Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper…

A: Given matrix is symmetric . So it can be diagonlized orthogonally.

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

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Q: You borrow 150000 DHS from your dad and promise to pay back 176550 DHS in thirty-six (36) months.…

A: We use the following:

Q: Hey solve in paper clearly. I didn't understand anything.

A: We have to find the area of the given region.

Q: Evaluate the line integral of f(x, y) = 6xy¹, where C is the right side of the circle x² + y² = 9.…

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Q: You borrow 25500 DHS from your brother and promise to pay back 30000 DHS in twelve (12) months. What…

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Q: 2π tan@ elo

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Q: Does the equation 10m= 50n have any non-zero integer solutions? Justify your answer.

A: Given: Equation is  10m= 50n

Q: solve the following Volterra integral equations by using the Ado- mian decomposition method: 11.…

A: According to guidelines we have to solve only one question for another question please repost it.

Q: Consider the parametric equations (t) = cos(t) +2 and y(t) = 4 sin² (t), for 0 ≤ t ≤ 1. x A.…

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Q: 4. How many edges does a graph have if its degree sequence is 5, 2, 2, 2, 2, 1? Draw such a graph.…

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Q: Question 4 Solve the following formula for Q. P-Q C W G

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Q: Write each system in matrix form- = Ax. dx dt Determine the eigenvalues of A. State whether the…

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Q: Select all pairs in the reflexive closure of the relation R, defined on the set A = { a, b, c, d }…

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Q: A survey of 108 people found that 46 carried a cell phone, 70 carried a tablet computer, and 30…

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

Q: Let S be the set of all strings of length 4 of letters in the set A = { a, b, c, d, e, f }…

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Q: Suppose that f(x) and g(x) are given by the power series f(x) = 7+ 4x + 3x² + 3x³ +... and g(x) =…

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Q: A bag used to apply icing to a cake is in the shape of a cone with a radius of 3 inches and a height…

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Q: 2. Evaluate the surface integral ff(x-2y+z)dS, S: z = 2, x² + y² ≤ 1. S

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Q: population has the following characteristics. (a) A total of 25% of the population survives the…

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Q: Use the simplex method to solve the linear programming problem. Minimize C = -x - 3y + 2z subject to…

A: Introduction: The simplex method is a widely used linear programming methodology for addressing…

Q: Definition of the logrithmic function: y = logb(x) if and only if by = x, where x > 0, b>0, b# 1.…

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Q: Question 1 Find the value of Z when x = 2.1 and y = 3.2 using the formula below. If necessary, round…

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = (1 + x) 5 00 f(x) = F…

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Q: Calculate ffs f(x, y, z) dS For Js f(x, y, z) ds = y=5-2², 0≤x, z ≤ 5; f(x, y, z) = z

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Q: [4] Use Gaussian elimination with back substitution to solve the linear system of equations x2 + x3…

A: First use Gauss Elimination Method.

Q: Which function has an x-intercept of - O a) f(x) = 3x + 2 5x-1

A: Introduction: The value of the x-coordinate at the point where the graph intersects the x-axis, or…

Q: 6.) Give a proper coloring for the two graphs below. Then determine the chromatic number of each.…

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Q: A biased coin is flipped 7 times. In a single flip of the coin, the probability of heads is 1/3 and…

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Q: Given the function​ below, complete parts​ (a) through​ (c).   q=D(x)=k/xn​, where k is a positive…

A: Given: The demand function is given by:          q=Dx=kxn where, x=price k=positive constant n=an…

Q: Copy of Following section 9.5.2, let's calculate the equation of a plane passing through: P1 = (1,…

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