## What does maximum word count mean?

The purpose of a word limit is to give all students, across the University, a clear indication of the maximum length of a piece of assessed written work, the amount of work expected and therefore how much detail they should go into and how they should allocate time to one piece of assessed work in relation to others.

## How do you know if its a maximum or minimum?

Vertical parabolas give an important piece of information: When the parabola opens up, the vertex is the lowest point on the graph — called the minimum, or min. When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max.

## What does maximum 500 words mean?

A 500-word essay usually means a 500-word essay. Whatever word count your essay is restricted to, it’s only an indication of roughly how long your essay should be. In other words, if you’re asked to write 500 words, your essay could be a little under or a little over; I like so stay within the range of 450–550 words.

## Why would you use completing the square?

Completing the Square is a technique which can be used to find maximum or minimum values of quadratic functions. We can also use this technique to change or simplify the form of algebraic expressions. We can use it for solving quadratic equations.

## What is absolute maximum and minimum?

An absolute maximum point is a point where the function obtains its greatest possible value. Similarly, an absolute minimum point is a point where the function obtains its least possible value.

## What’s the meaning of least?

least(a)(adverb) the superlative of `little’ that can be used with mass nouns and is usually preceded by `the’; a quantifier meaning smallest in amount or extent or degree. “didn’t care the least bit”; “he has the least talent of anyone” least, to the lowest degree(adverb)

## Why is it called completing the square?

It is called completing the square because once you have to “complete” a perfect square to solve it, as in all of the steps are for you to end up with a perfect square to apply a square root on it.

## What is the maximum value?

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph. If your quadratic equation has a negative a term, it will also have a maximum value. If you have the graph, or can draw the graph, the maximum is just the y value at the vertex of the graph.

## What does equal roots mean in maths?

A quadratic equation has equal roots iff its discriminant is zero. A quadratic equation has equal roots iff these roots are both equal to the root of the derivative.

## What is the minimum in math?

Minimum, in mathematics, point at which the value of a function is less than or equal to the value at any nearby point (local minimum) or at any point (absolute minimum); see extremum. …

## What maximum means?

the greatest quantity or amount possible, assignable, allowable, etc. the highest amount, value, or degree attained or recorded. an upper limit allowed or allowable by law or regulation. Mathematics. Also called relative maximum, local maximum.

## What is meaning of maximum and minimum?

Minimum means the least you can do of something. For example, if the minimum amount of dollars you must pay for something is seven, then you cannot pay six dollars or less (you must pay at least seven). You can do more than the minimum, but no less. Maximum means the most you can have of something.

## For which values of k are the roots real?

This is positive for all values of k and greater than 0 for all values of k. For example if k=0 then Δ=8, if k=−1 then Δ=9 and if k=1 then Δ=9. So the roots are real and unequal.

## What are 2 equal roots?

If the discriminant b2 – 4ac equals zero, the radical in the quadratic formula becomes zero. In this case the roots are equal; such roots are sometimes called double roots. Therefore, the roots are equal. The equality of the roots is thus verified.

## How do you find the maximum and minimum of completing the square?

Minimum or maximum One application of completing the square is finding the maximum or minimum value of the function, and when it occurs. From above x2 + 6x + 7 = (x + 3)2 – 2 As (x + 3)2 ≥ 0, (x + 3)2 – 2 ≥ –2,so the minimum value of x2 + 6x + 7 is –2 This occurs when (x + 3)2 = 0, that is when x = –3.