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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.
What else can I help you with?
What number most exceeds its square?
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 is the maximum amount of pressure in pounds per square inch (psi) that steel can withstand?
Steel can withstand a maximum pressure of around 30,000 pounds per square inch (psi).
What type of number has an odd amount of factors?
A square number.
What do you call a number that has an odd amount of factors?
A square number
If you have a circle and a square what is the maximum number of points of intersection that the shapes can share?
If the circle is inside the square, four.
Which country covers more than 6.5 million square miles?
Russia just barely exceeds that number, and it's the only one.
What number most exceeds its square?
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.
What do you call a number with a odd amount of factors?
A perfect square
What is the maximum number of points of intersection between a circle and a square that lie in the same plane?
8
How many number of factors do square roots have?
There's no set amount.
What is a number that is the rsult of a number multiplied by itself that also has an odd amount of factors?
A perfect square
What is the maximum amount of pressure that steel can withstand?
The maximum amount of pressure that steel can withstand varies depending on the type of steel and its specific properties. In general, steel can withstand pressures ranging from 30,000 to 300,000 pounds per square inch (psi).
