Let a, b and m be integers. Prove that if 2a + 3b ≥ 12m + 1, then a ≥ 3m + 1 or b ≥ 3m + 1.

Q: What. Is 36×987+6,×8

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Q: З and an - - 3ап-1 + an-2 for integers n>2. Evaluate and d4: Let a, = 2, a2

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A: For some real numbers m and n, the list 3n2 ,  m2  , 2(n + 1)2  consists of three consecutive…

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Q: let a,b,c,d,e and f be different positive integers so that a² - b² = c² - d² = e² - f² = 63. Value a…

A: Given:- a,b,c,d,e and f are different positive integers.  also a2-b2=c2-d2=e2-f2=63. To find :- the…

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A: ANSWER :

Q: Determine the value of 7A+7M if 2x4 + 3x3 + + 8x2 + 9x + 3 A За + М + (1+x²)² х — 3 x(1+x²)² 1+x² ||

A: Given: 2x4+3x3+8x2+9x+3x1+x22=Ax-x-31+x2+3x+M1+x22

Q: FactoR. 649² x + 892xy - 24bx-3 by

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Q: Determine the Fourier Series of the function f(x)= |x|, -3 ≤ x ≤ 3, f(x) = f(x+6).

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Q: Find a possible formula for the graph. y = 13, 4 1

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Q: If product of two consecutive odd integers is 63, then the integers are: 7, 9 9, 11 7, 11 7, 13

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Q: True or false: If a is any integer, then (5a + 2,7a + 3) =1. Justify your answer.

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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: 4x +4 C) Evaluate x++2x +1

A: To solve the following problem by using the rule of integration.

Q: a) Find the sum of x+2x-5 x2+12x+35 and a+7* b) State the domain.

A: We have to find the sum and domain

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Q: Show that if 9 | a3 + b3 + c3 then 3 divides at least one of the integers a, b, or c.

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Q: both negative integers

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Q: In P2, find all real numbers a such that x - ax +1-a? is in the span of x -2x+1, x-1,and3x -2x-1. Oa…

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Q: For all integers a, b and c, if a divides b and a divides c, then a divides (4b - 3c). True False

A: Answer is TRUE

Q: Find all positive integers of x in the equation x⁵+2x-5 > 19.

A: The solution for the given inequality is determined as shown below.