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Calculus

The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.

25,068 Questions

What is the derivative of tan x0 its x to the power 0?

Regardless of what 'x' is, (x)0 = 1 .

tan(1 radian) = 1.55741 (rounded)

tan(1 degree) = 0.01745 (rounded)

We can't remember the derivative of the tangent right now, but it doesn't matter.

This particular tangent is a constant, so its derivative is zero.

What is the function of solution 2 in plasmid isolation?

This solution contains the detergent sodium dodecyl sulfate (SDS)

which dissolves the cell membrane and denatures proteins. The solution is very alkaline (pH > 12) due to the presence of sodium hydroxide. The high pH aids in denaturing proteins and causes the cleavage

of the phosphate bonds in RNA. This eliminates interference from high

molecular weight RNA during the plasmid purification. Under highly

alkaline conditions, the two strands in non-supercoiled DNA (linear

fragments of chromosomal DNA, relaxed and nicked circular DNA)

separate and are partially removed from solution. However, this does

not occur with supercoiled forms of plasmid DNA because the two

strands are intertwined and entangled in a way that prevents them

from coming apart. Therefore, supercoiled plasmid remains free in

solution.

Is motion of swing an example of simple harmonic motion?

A body undergoes simple harmonic motion if the acceleration of the particle is proportional to the displacement of the particle from the mean position and the acceleration is always directed towards that mean.

Provided the amplitude is small, a swing is an example of simple harmonic motion.

What is the answer for -2x equals 20?

To find x

-2x = 20 divide both sides by negative 2

-2x/-2 = 20/ -2

x = -10

How do you get the answer for a linear equation if the equation is in y equals mx plus b?

Well, you take y=mx+b and you fill in the numbers

M= slope

y= y-coordinate

x= x-coordinate

What is the solution of the following system of eauations 3y equals 5x and y equals x plus 2?

There are two equations for which we must determine both variables, x and y.

3y = 5x

y = x + 2

We are going to use the substitution method to isolate one of the variables in one of the equations. The second equation defines "y" for us in terms of "x", so we will simply substitute that value into the first equation

3y = 5x

3(x + 2) = 5x

3x + 6 = 5x

6 = 2x

x = 3

Now that we have a value for "x", we will substitute that back into the second equation to get a numerical value for "y".

y = x + 2

y = 3 + 2

y = 5

Then, do not forget to check your work by putting both values into both equations to make sure you have the correct answer.

3y = 5x

3(5) = 5(3)

15 = 15

Check!

y = x + 2

5 = 3 + 2

5 = 5

Check!

Why does wrapping function not one is to one?

No, because for the unit "circle", any two points separated by a distance of 2*pi will map to the same location.

Can x and y axes be numbered differently?

Of course. If you have a function that climbs very steeply and you want to show its shape, you can number the Y axis in increments of 1000 and the X in increments of 1. This will, of course, make the curve appear 1000 times flatter visually.

Also, the two axes may not necessarily even measure the same thing. On any newspaper financial page, you will find a graph with the X axis numbered to represent time and the Y to represent a stock index price.

How do you solve 5 x plus 3 equals 25?

5x+3=25

5x = 22 (subtract 3 from each side)

x = 22/5 (divide both sides by 5)

How many kL makes milliliter?

One millionth (1/1000000) of kL makes 1 mL

1 kL = 1000 L = 1000000 ml

What is the use of hyperbolic functions?

Hyperbolic functions can be used to describe the position that heavy cable assumes when strung between two supports.

4x-6 equals x plus 9?

4x - 6 = x + 9

Add 6 to each side:

4x = x + 15

Subtract x from each side:

3x = 15

Divide each side by 3:

x = 5