show that the Squa giver by IN A+ 4

Q: 15) n(n*+5) is divisible by for each integer

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Q: Choose the right answer among the italicized choices 1. is (8-9, cube root of -1) = (-1,-1) or…

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Q: Show that An, n > 5 is simple.

A: Sol:- To show that An, the alternating group of even permutations of degree n, is simple for n ≥ 5,…

Q: Find the vertex, focus, and directrix of the parabola. x² = 6y vertex focus directrix (x, y) (x, y)…

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Q: 2- M ke 2.

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Q: c. A = ; ==G 4 4 3 -2 3 2

A: Given A=242131B=-1111-2-1C=242131D=1-1-1-121 Clearly  C=AD=-B

Q: (b) Use rules of variance to obtain an expression for the variance and standard deviation (standard…

A: Variance is the measure of dispersion. It is calculated by taking sum of square difference from the…

Q: Can you please explain why you multiplied by 2! in the denominator in step 2? How does that 2! get…

A: Let A be a set of n elements. To select r objects from a collection of n elements in the set A…

Q: Find all possible values of P in x^2+10x+P=(x-A)(x-B) if P, A and B are all whole numbers

A: To find all possible values of P in x2+10x+P=(x-A)(x-B) if P,A and B are all whole numbers.

Q: Show that x2 + 9 is prime.

A: To show x2 + 9 is prime.

Q: Show the following for [im 11x|lp = 11x11.00 P-0 XER

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Q: . What is the coefficient of ?^4 when (3+4x^2)^3 is expanded?

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Q: Show that 2 + V5 is imational number

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Q: Prove the following using a direct proof.  If a,b, and c are integers such that b is a multiple of…

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Q: 5. y' = 2x?y – 4y %3D

A: 5 Given differential equation is y'=2x2y−4y......1. We have to find the solution of the given…

Q: A2. x-

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Q: Use a direct proof to show that every odd integer is the difference of two squares.

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Q: Suppose that a and b are integers, c b = 3 (mod 19). Find the integer c that a) с%3D 13а (mod 19).…

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Q: k 22. k+1 k31

A: For the part circled in pink, can you show where the k^3 came from in the numerator? (Under square…

Q: Prove that 2^? +3^? is a multiple of 5 for all odd ?∈N.

A: We will solve this problem using principle of mathematical induction.

Q: insinsin = √3 Show, without a calculator, that 8 sin-

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Q: Show that for any positive integer n, gl,(C) can be written as a direct sum of two ideals, one of…

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Q: The operation * is defined over the set of real numbers "R" by a * b = a + b + 1/2ab. What is 6 * (2…

A: Given that the relation defined on real number R as a*b=a+b+12abTo find 6*(2*5)?

Q: by a factor of 5 not 1/5?

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Q: Find the value of c such that the exp k^(2)+13k+c

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Q: Find A if -1 1 6 0] (2₂+4) - [11] A 36 -1 A =

A: In this question, we will find the matrix A.