Calculus

plot 4y then 3x

A rectangle

The well-written proof can be found in the Wikipedia article, which can be located in a link below.

There are 10 millimetres in one centimetre. Therefore, 400 centimetres is equal to 400 x 10 = 4000 millimetres.

No. There is insufficient information.

There are 10 mm in 1 cm so 550 cm is 5500 mm.

They are, when appropriate.

factorises as (2x + 1)(x + 1) so x = -0.5 or -1

Yes. This follows from the fact that pi is transcendental. That implies that it can't be written as a root.

Assuming the question actually means "How many cubic centimeters are in a cubic meter?", the answer would be 100x100x100= 1 million

x2 + 13x + 12

= (x + 1)(x + 12)

Add 12 to each side: a = 36 + 12 = 48

84 * 2.2 / 14 = 13.2

This answer was calculated according to the order of operations.

Rule 1: First perform any calculations inside parentheses.

Rule 2: Next, from left to right, do all multiplications and divisions.

Rule 3: Last, from left to right, do all additions and subtractions.

144

'3x' means 'three times', and '4x' means 'four times'. '4x' is obviously rather greater than '3x', but neither will bring an object ten miles away into your back garden.

Depends what the food source is. Many products can be steam sterilized using a safesteril process. Google safsteril

254,560,000

This question does not make sense. An object with different measurements for length , breadth and height cannot be a cube. And if the measurements are not l, b and h but something else then there is no way of calculating the size of the object.

I am thinking you must mean x^2-4x+3 otherwise it would be x^2-1 which would factor as (x+1)(x-1).
In any case, it factors as (x-3)(x-1). Just look at the last number, 3 and note it has factors 3 and 1. Now need those factors to add up to -4 and their product to be positive. We must pick -1 and -3.

x - 13 = 5

x = 18

(x^2 - y^2)

If: 2x2-3x+1 = 0

Then: x = 1 or x = 1/2

If we start with x2 + 4 = 0, the next conclusion is that x2 = -4. All real numbers have a positive result when multiplied by themselves, so therefore we are dealing with an imaginary number. The square root of minus four is 2i.

One must be careful when using infinity in math. Infinity is a concept - not a value. Sometimes, we may be tempted to try treating infinity as a value or a variable. Whenever we want to use infinity in math, we generally do so through the concept of limits.

For example, instead of saying:

1/∞ = 0

We instead say:

lim 1/x = 0

x→∞

The use of limits allows us to use infinity without falling into the trap of attempting to do arithmetic with infinity, which is not defined. In calculus, we use limits and L'Hopital's rule to get around this, and allows us to evaluate functions which simplify to an indeterminate form (0/0, ∞/∞, 0*∞, 0^0, ∞^0 and ∞ - ∞).

Sometimes we seemingly treat infinity as a value when describing asymptotes or end behavior of a function, for example:

lim 1/x = ∞

x→0+

It is important to realize that we are not saying that 1/0 = ∞, but we are ACTUALLY saying:

"As x approaches 0 from the right, 1 / x approaches infinity."