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If we were to graph the number it would be:
y = x
If we were to graph the square it would be:
y = x²
The difference would be:
f(x) = x - x²
You want to maximize this difference, so take the derivative:
f'(x) = 1 - 2x
Then set it to zero:
0 = 1 - 2x
Add 2x to both sides:
2x = 1
Divide both sides by 2:
x = ½
Answer: ½ is the number that most exceeds its square.
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What number exceeds its square by the maximum amount?
If we were to graph the number it would be: y = x If we were to graph the square it would be: y = x² The difference would be: f(x) = x - x² You want to maximize this difference, so take the derivative: f'(x) = 1 - 2x Then set it to zero: 0 = 1 - 2x Add 2x to both sides: 2x = 1 Divide both sides by 2: x = ½ Answer: ½ is the number that most exceeds its square.
Three times the square of a certain positive number exceeds six times the number by nine Find the number?
The problem can be written as3x2 = 6x + 9x is the number we want to findSolution:x2 = 2x + 3x2 - 2x - 3 = 0(x-3)(x+1) = 0x = -1, 3
How do you figure out a number is a square number?
If the square root is an integer, it's a square number.
Is the square root of a positive number an irrational number?
Sometimes the square root of a positive number can be irrational, as in the square root of 2 (which is a non-perfect square number), but sometimes it is a rational number, as in the square root of 25 (which is a perfect square number).
The square of 9 more than a number is equal to 9 more than the square of the number?
The square of 9 more than a number is equal to nine more than the square of a number. What is the number?
What is the first prime number whose square exceeds 1000?
31 squared = 961. 32 squared = 1,024. The first prime number that is greater than 32 is 37. Therefore, 37 is the first prime number whose square exceeds 1,000.
What number exceeds its square by the maximum amount?
If we were to graph the number it would be: y = x If we were to graph the square it would be: y = x² The difference would be: f(x) = x - x² You want to maximize this difference, so take the derivative: f'(x) = 1 - 2x Then set it to zero: 0 = 1 - 2x Add 2x to both sides: 2x = 1 Divide both sides by 2: x = ½ Answer: ½ is the number that most exceeds its square.
Which country covers more than 6.5 million square miles?
Russia just barely exceeds that number, and it's the only one.
What is the symbol for exceeds?
The symbol for exceeds is ">" which means "greater than".
A number exceeds its square root by 56.what is number?
"7" is the number because its square root is "49" & 49+7=56
What number exceeds 36 by 10?
46
What number exceeds 84 by 21?
105
If 564 exceeds 7 times a number by 81 what is the number?
69
What square number has the most factors?
There can be no such number. Since if x is such a number then 4x is a square number with more factors. and if 4x is the number then 16x has more, etc.
The base of rectangle exceeds three times its altitude by 4if the length of the side of the square is 8centimeter find the dimension of the rectangle?
the base of the rectangle exceeds three times its altitudes by 4. if the length of the side of the square is 8centimeter find the dimension of the rectangle.
What is above Graham's number?
There is no generally agreed-upon concept or number that is considered to be "above" Graham's number. Graham's number is so large that it exceeds what can be effectively comprehended or meaningfully compared to other numbers in most contexts.
What number exceeds 4125 by 598?
It is: 4125+598 = 4723
