Show that if n is an integer and n^3+5 is odd, then n is even

Q: Find the limit e(-y)³-1 lim (x,y)-(3,3) (x - y)²

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Q: 5. 3" 4″ 6. lim n! 2"

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Q: A system of two 3000 L holding tanks is set up with a pipe bringing water to the first tank, another…

A: As per the question, there are two L holding tanks with water flow and salt dissolution.Our…

Q: Use the Theorem of Pappus to find the volume of the given solid. the solid obtained by rotating the…

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Q: Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace W-spand W = span{ a.…

A: We need to find two elements X and Y.

Q: 15. Derive the Newton's method for finding the qth root of a positive number N, N¹/9, where N > 0,…

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Q: Solve (y - 3)² = -54 for y y=3± √6i y = 3±3i y=3±3√6i y = 3+ 6i

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Q: Problem #8: Let R4 have the Euclidean inner product. Find a unit vector with a positive first…

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Q: (7) Let m≥ 1 and let R= {0, 1, 2,...,m - 1}. (a) Prove that if r1, T2 € R and r₁ r2 (mod m), then r₁…

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Q: Find the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for…

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Q: For the given values of n and r, evaluate (a) n! (n-r)! and (b) - n! (a) When n = 13 and r = 6, -0.…

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Q: Set up a double integral to find the volume of the solid enclosed by the coordinate planes and the…

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Q: Consider the following indefinite integral. The integrand decomposes into the form: Compute the…

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Q: 3. Complete the square and state the vertex, for the following equation=-0.1x² – 0.6x – 0.4.

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Q: 14. Derive the Newton's method for finding 1/N, where N > 0. Hence, find 1/17, using the initial…

A: We need to derive the Newton's method for finding , where .Using this, we need to find , using…

Q: Use the function pictured to estimate (a) The real values of x for which f(x) = 0. (b) The value of…

A: We will use the graph for find the answer.

Q: Laplace transform of t² sin2t. [12s²-16] [2323 .(s²+4)². 35²-4 [(s²+4)³. [12s²-16 .(s²+4)6 O [12…

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Q: The fission reactor of a nuclear plant explodes at t = 0. The following function d represents the…

A: (a)This method is useful for obtaining an approximate response, but it cannot provide an absolute…

Q: 7. Determine the values of k for which the following quadratic equations x²+kx+9=0 with have: a. One…

A: Given quadratic equation: We have to determine the values of  for which the given quadratic equation…

Q: Consider the following tableau for a particular Linear Program (LP) being solved using the M-Method:…

A: Given Information:Tabuleau for particular LPP using big M method is given as…

Q: (a) f: ZZ given by f(n) = 3n. (b) f: R → R given by f(x) = x³.

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Q: Prove the validity of the following argument using a direct proof.  Please validate each step with…

A: To validate the argument using a direct proof, we need to start with the premises and apply…

Q: 9. A ball is thrown upward from the roof of a 25 m tall building. The ball reaches a maximum height…

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Q: 2. Formulate the logical constraint for the following statements. (Where A, B, C, and D are all…

A: A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra,…

Q: 1. A car travels at a constant speed and burns g(x) liters of gas per kilometer, where x is the…

A: 1. Given that a car travels at a constant speed and burns g(x) liters of gas per kilometer,…

Q: 40 -40 y²2√6400 – 4y²dy

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Q: 81 70.88 60.75 50.63 Answer 49/5 30/38 20.25 10.13 -10-9-8-7 -6 -5 -4 -3 2-1 -10.12 -20.25 -30.37…

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Q: 1. Find all solutions of the congruence 5x+3x²+x+3 = 0 mod 30. You should do this by factoring the…

A: The congruence .To Find:Solution of the above congruence.

Q: Consider the following block matrix: [1] If I is 3 x 3 and B is 4 x 2, what are the dimensions of A?…

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Q: Let S = {a, b, c}. Then R = {(a, b)} is a relation on S. Which of the properties reflexive,…

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Q: Find the area of the region that lies inside both curves. r = 4 + 3 sin(0), r = 4 + 3 cos(0)

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Q: For the given values of n and r, evaluate (a) n! (n-r)! and (b) = n! r!(n-r)! n! (a) When n = 13 and…

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Q: Matrix A has 3 rows and 2 columns. Matrix B has 2 rows and 3 columns. Matrix C has 2 rows and 2…

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Q: Let A || 9 3 -13 -4 0 0 -5 (a) Find the characteristic polynomial of A. (b) Find the two eigenvalues…

A: In this question, we will find the eigen values and eigen vector.

Q: C . Use the angle sum relationship to show sin 30 = 3 sin 0-4 sin³0. ● B D Suppose AB is the arc of…

A: According to guidelines we can do only first three sub parts thank youUse the angle sum relationship…

Q: Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for…

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Q: Set up the double integral both ways : (integral)(integral) y^2 dA where R is the triangular region…

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Q: Given u (x,y) se cosy, show that 4 (X,Y) is an harmonic function and find the function V(x,y) that…

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Q: 4. Solve the following initial value problems using the Laplace transform: a) y' + 3y = 0, y(0) =…

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Q: Which set of values for x should be tested to determine the possible zeros of 2x³ - 3x² + 3x - 10? O…

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Q: Which of the following is the fully factored form of x3 + 3x² - x - 3? O a) (x+3)(x² - 1) b) x²(x +…

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Q: 20.2 Solve the following linear congruences: (i) 341x = 15 mod 912; (ii) 341x = 15 mod 913; (iii)…

A: To solve the linear congruence , you can use the extended Euclidean algorithm to find the modular…

Q: all = [au 0 0 a22. A =

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Q: Determine the completely factored form of Ax)-x³ +5x²-x-5. O a) (x+5)(x² + 1) b) (x+5)(x+1)(x-1) c)…

A: Determine the completely factored form of f(x) = x^(3) + 5 x^(2) - x -5

Q: You wrote that a sequence is contractive if: |Xn+2 - Xn| <= |Xn - Xn-1|........ But I thought it…

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Q: Construct a tree diagram showing all possible results when three fair coins are tossed. Then list…

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Q: Find the maximum value of f(x,y) = 31-x² - y² on the line x + 5y = 26.

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Q: Solve the following Non-Exact Differential equations and find its integrating factor. 1. xy² dx +…

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Q: Use the budgetary equation to express the functional U[b] in terms of b and b', then calculate the…

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Q: Construct a truth table for the following compound propositions. b) (p ^~q) →q 2. a) (~pv q) → (p@q)

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