Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of the numbers is as large as possible

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Q: Find two positive real numbers such that they add to 40 and their product is as large as possible.

A: Our Aim is to find two positive real numbers a and b such that they add to 40 and their product is…

Q: 1. Find all possible pairs of integers whose sum is 30 and product is greater than 216. 2. Find…

A: I have solved first two ,for all parts solution repost again

Q: x can be any real number between -6 and 3 or any real number greater than or equal to 25.

A: Given x can be any real number between -6 and 3 or any real number greater than or equal to 25.…

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Q: Determine whether each of these statements is true or false. Explain why. 0 ∈ ∅ ∅ ∈ {0} {0} ⊂ ∅ ∅ ⊂…

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Q: Find two positive real numbers such that they add to 40 and their product is as large as possible.

A: Suppose that the numbers are x and y then given that

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A: given functionf(x)=4x2-8x+7   into interval [-1,3]f'(x)=ddx(4x2-8x+7)f'(x)=8x-8Here, f(x) and f'(x)…

Q: Find 2 positive real numbers x and y such that their sum is 40 and their product is as large as…

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Q: CU. TOLUL. points cucit) Prove that the product xy of two real numbers x and y is nonnegative if and…

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Q: Determine whether the statement is true or false. Justify your answer with a proof or…

A: Yes, the product of  even integer and any integer equal to even

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A: Solution is given below:

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Q: Use calculus to find the dimensions of the rectangle of largest area that can be inscribed in the…

A: Let the base= x So the height = y= 1-x  So the area=A= xy= x(1-x)

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Q: Find an integer such that its square is 81 less than 18 times the integer

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Q: (a) Express in ascending powers of x as far as the term in x' (2+x)' (b) Express in ascending powers…

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Q: (a) Prove that the equation –1 = x – x² has a solution in (1, 2). (Do not x +1 attempt to find the…

A: GIVEN11+x-1=x-x2we need to prove the equation

Q: The three digit number is given . The sum of all different three digit numbers with the same digits…

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Q: How many distinct triples (x1,x2, X3) of positive integers satisfy the equation Xị + x2 + x3 2021

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Among all pairs of numbers whose sum is 16, find a pair whose product is as large as possible. What…

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Q: prove that the sum of three odd integers is odd using indirect method. show your solution and…

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Q: Prove showing all arguments Given a quadrangle, one diagonal divides the quadrangle into two…

A: In the question we have to prove the property.

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Q: If the domain of f is all real numbers in the interval [ 0, 7],and the domain of g is all real…

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Q: 1. Choose one of the forms of the FAC (the fundamental approximation of calculus) and an application…

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Q: of all positive integers Find the sum less than 200

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Q: a) Show that the least upper bound of a set of negative numbers cannot be positive. b) Show that the…

A: Given:-           a) Show that the least upper bound of a set of negative numbers cannot be…

Q: Find a positive number a such that the sum of 36x and is as small as possible. Does this problem…

A: The sum of the number of 36x and 1x

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A: Prove "A real number is said to be algebraic if is the root of a polynomial with integer…

Q: 1) Three consecutive integers have the property that the difference of the squares of the middle…

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Q: 5. (10 points) Prove that for all positive real numbers r and y, one has the inequality > 2 (u+ 112…

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Q: Find all the values of x such that inequality ( 2 - a)x3  + (1 - 2a)x2  -  6x + 5 + 4a - a2  <  0…

A: Concept: Inequalities: Both the equations and inequalities are mathematical formulations made up of…

Q: Find the number in {x E R:-2<x<2} such that the sum of that number and its square is a maximum.…

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