Linear Algebra

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A derivative is the rate of change of a function with respect to an independent variable (usually time or just x). For example, the derivative of a position-versus-time graph (with the independent variable being time) is the rate of change of position as time passes. This is the velocity-versus-time graph. Similarly, the derivative of the velocity-versus-time graph is the acceleration-versus-time graph.

Here's another way to think about the derivative of a function. If you were to record the slopes of the tangent lines to each point on a graph, then put those values on a different graph, you would create a graph of the derivative of the original function. In other words, you would have found every instantaneous rate of change of the original function and graphed it in their own function.

Put in function form.

5X - 2Y = 20

- 2Y = - 5X + 20

Y = 5/2X - 10

-------------------------zero out the Y

5/2X - 10 = 0

5/2X = 10

X = 20/5

X = 4

---------------or, just zero out the Y in original equation

5X - 2(0) = 20

5X = 20

X = 4

-----------either way if only X intercept is wanted.

The associative property is sometimes called the associative law. It refers to the principle that the way in which numbers are grouped in an operation does not affect the final result, specifically in addition and multiplication. For example, in addition, (a + b) + c is the same as a + (b + c).

its an equation used to calculate gfr in adults.

The formula for the Cockcroft-Gault equation: Estimated creatinine clearance, or GFR =

[(140-Age) * Mass (in kg)] \ [72 * Serum creatinine (in mg/dL)] If the patient is female, multiply the above by 0.85

The steps, for clarity, are as follows:

1) Subtract the patient's age from 140 2) Multiply by the mass of the patient in kg 3) Multiply the patient's serum creatinine (in mg/dL) by 72 4) Divide the total from 2) by the total from 3) 5) If the patient is female, take the total from 4) and multiply by 0.85

c + n

-30

No. The origin must be a solution for any direct variation.

It is: y = -8/7x+3/7 in slope intercept form

It depends on your level of expertise. The simplest method is to invert the matrix of coefficients.

The man has 13 dimes and 7 quarters, which equate to $3.05

$1.30 + $1.75

If he had 13 quarters and 7 dimes he would have $3.95

$3.25 + 70c

The method used to work this out was dividing 90c by the difference between the value of a dime and a quarter- i.e. 15c . 90 / 15 = 6, so of 20 coins, 6 more were dimes than quarters. Subtract 6 from 20, then halve the result = 7 the lower number is 7, the higher number is 7+6, = 13.

Please also note that 'Quarters' is spelled with 2 'r's

None, since there can be no conversion. A metre is a measure of length in 1-dimensional space while a year is a measure of time. The two measure different characteristics and, according to the most basic principles of dimensional analysis, any attempt at comparisons or conversions between the two are fundamentally flawed.

how does ahp use eigen values and eigen vectors

If it is joined by an "and" it does. If it is joined by an "or" it does not.

Whereas the procedure for a linear equality is the same, the inequality defines all of the plane on one side (or the other) of the corresponding line.

The slope of a graph.

There is a great series of videos on YouTube about quantum mechanics (which is one place where such concepts are used a lot). For the "why", the author says: "Because it works". In other words, it has been found that doing the calculations a certain way provides results that make sense, and that are consistent with observations.

Of course - as the same author points out - it took a genius to figure this out.

Time is plotted on the HORIZONTAL axis. That may or may not be the x-axis. If I choose to call the distance X, then X will be plotted on the vertical axis!

At constant speed, the distance/time graph is a straight line,

whose slope is equal to the speed.

just make the matrices upper triangular by making the values below the digonal zero,and then find how many minors can be calcuted.......

Of course, Gaussian Elimination!

You integrate each element of the matrix.

346153.8462

Yes, they can.

The answer for one inequality will NOT anwer the other. For example, you can not be younger and oilder than your brother at the same time.