A number leaves remainder 6 when divided by 10. What is the remainder when the number is divied by 5? Justify your reasoning.

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A: Note: As per our Guidelines we can solve first question. Please repost remaining questions.

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Q: Let I be the set of irrational numbers with the usual topology (that is, the topology it inherits as…

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Q: 4 (a) For the matrix B = find an orthogonal matrix P such that PT BP is a diagonal matrix. (b) Write…

A: Eigen values of B:

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Q: Find all the solutions 2 The congruence x² = 58 mod 77

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A: We will use Excel to solve this. Writing in tabular form:

Q: Wie the ouatratic formula to sol -2y=3y^(2)-1

A: Given, Quadratic equation is  -2y = 3y2 - 1

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A: The curve is a parabola Symmetrix to x=-1 and the vertex of the parabola is  -1,4      Thus…

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Q: Let f(x, y, z) Let C be the cone bounded by (x²+y² +2²)√√1²+y² 2² = x² + y² and z = 1. Show that ff…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y = sin tu(t - 2π), y(0) =…

A: The given problem is to find the solution for the given initial value problem by using Laplace…

Q: 4.33 Does every subspace have a complement?

A: To Check: Every subspace have a complement.

Q: Use a Venn diagram to answer. If n(A) = 6, n(B) = 7 and n(An B) = 4, what is n(AUB)? n(AUB) = ...

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Q: Find the curl of the vector field F= curl F- ܐ ܀ 3. Question Help: Video Submit Question Jump to…

A: F⇀=<3zcosx,4zsinx,2z>To find the Curl of F⇀.

Q: A population of beetles with four age groups is described by the matrix 4 3 27 0 0 0 0.4 0 0 0 0.1 0…

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Q: In order to accumulate enough money for a down payment on a house, a couple deposits $296 per month…

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Q: *2.2.18 Find the present value at time 0 of an n-year continuous annuity based on force of interest…

A: We have find the present value at time 0 and n year continuosly

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Q: Bank One offered a 17-year certificate of deposit (CD) at 4.72% interest compounded quarterly. On…

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Q: Use the bisection method to find the approximation to the root of the equation f(x) = x3 - 2x - 1…

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Q: 8.7 Show the following sequences do not converge. (a) cos(T) 3 (c) sin() (b) Sn = (-1)" n -

A: A series is said to be convergent if it exist at limit infinity.

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Q: Which statement is true? O Prescriptive analytics uses historical data to provide regular reports on…

A: Explanation: Descriptive analytics uses historical data to provide regular reports on events that…

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Q: Find the general solution of the differential equation below by using the method of undetermined…

A: Here we have to find the general solution by using method of undetermined coefficients.…

Q: (a) A X For each of the following, factor the matrix A into a product XDX-¹ where D is diagonal. 1…

A: Since you have added more than two questions, so find the solution of the first question.

Q: ✓ 3.11 Find M+. 292 (a) M = { (c) M = { (e) M = { { (₁) |x=0} () (f) M={y|-x+3y+z=0} (g) M={y | x =…

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Q: 5. Evaluate Lu(t-4)-(t-4)²} b. 2e-4s/s3 a. 2/s³ c. e-4s/s³ d. 2e4s/s³

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Q: 3. Find the work done by the vector field F(x, y, z) = (y + e², x + 1, xe²) on a particle travelling…

A: Given vector field is  Fx,y,z = y+ez, x+1, xez              Let  ϕx,y,z be the…

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Q: Match the closed curve with its area.…

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