1. DE (initial conditions) 2. Existence and unique theorem 3. Determine if a given function is solution of DE

Q: The sum of twice a number and 5 is at most 15. What are the possible values for the number?

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Q: The product of the squares of a number and two more than a number is 225. Find all possible values…

A: Let the number be n According to the question, n2(n+2)2=225 ⇒n(n+2)=±225⇒n(n+2)=±15 Case 1 : When…

Q: The sum of three numbers is 55. The second number is 5 more than the first. The third number is 2…

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Q: I think of a number, If I subtract 9 from it and multiply this difference by 4, the result is 128.…

A: Solution : We have given a number if we subtract 9 from the number and multiply this difference by…

Q: suppose cX) is valued function on such that f?E R Faib] Does it fallows bounded real taib] that…

A: In the given question given that f(x) is a bounded real valued function on [a,b] then we have to…

Q: Six more than twice a number is greater than negative fourteen. Find all numbers that make this…

A: Let the numbers required to make the statement true be x. We need to obtain the inequation and then…

Q: Jake found four consecutive odd integers such that 5 times the sum of the first and third is 22…

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Q: kpression for "12 times x."

A: Times means multiplication. Sometimes it is denoted by dot.

Q: The sum of six different integers is -70. If the smallest of these integers is - 15 what is the…

A: To Determine: what is the largest possible value of one of the other five integers ? Given: The sum…

Q: Jasmine can run 42 miles in of an hour. How many miles can she run in 1 hour?

A: Given, Jasmine can run 4 (5/6) miles in 2/3 hours.

Q: How do you determine if a number is a solution of an equation?

A: Lets consider f(x) = 0 is any equation. And x = a is any number. If we substitute x = a in equation…

Q: Four more than a number equals the sum of Seven and 12.

A: Given that, four more than a number equals the sum of seven and 12. Let the number be x.…

Q: The sum of five consecutive integers is 12 more than 4 times the fourth integer. What are the…

A: Let the first intergers be a. Then other integers are a+1, a+2, a+3 and a+4. Given that sum of these…

Q: The total of eight and twice a number

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Q: numbers have a sum of 205. If one number is n, represent the other number as an expression of n?

A: Given query is to find the expression for the number in terms of n.