The sum of two numbers is 8. The product of the first number and the square of the second number is to be a maximum. Find the smallest number.

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: Two positive numbers have a sum of 87. What is the maximum product of one number times the square of…

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Q: Each of Exercises 81–84 shows the graphs of the first and secon derivatives of a function y = f(x).…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find a number for which of 13 less than the number is the same as 13 more than the number.

A: Find a number for which of 13 less than the number is the same as 13 more than the number.

Q: A large table for a conference room is to be constructed in the shape of a rectangle with two semi…

A: Solution :-A large table is constructedin the shape of rectangle with two semicircles at the endsThe…

Q: The length of a rectangle is 5 cm less than twice the width. Express as an integer the maximum width…

A: here, objective is to find the maximum width of the rectangle for which perimeter is less than 84c.m

Q: The product of a number and 8 is smaller than 7 less than a number

A: Let the number be x. Product of number and 8= 8x

Q: Find two numbers whose sum is 9 and their difference is 60.   Smaller- Large number-

A: We have given the - sum of two numbers = 9. difference of two numbers = 60. we have to find the…

Q: The product of two consecutive odd integers is 255. Find the integers

A: In question, We'll find two consecutive odd integers whose product is 255. The solution is below,

Q: 3. The perimeter of a rectangle is 80m, its length is three times its width, find the length and…

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Q: The product of a number and 4 less than the number is 60 . Find the number.

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Q: The square of a number equals nine times that number. Find the number.

A: Assume number be x

Q: The sum of a number and its square is 56. Find the number.

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