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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

-15 1 5x?

Te equation -15 = 1/5x can be solved to find the value of X which is -75.

What is x in logx25 equals 2?

Base to the answer ( 2 ) = 25

X2 = 25

X = 5

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So, the base was 5.

-24 plus X equals 40 SOLVE FOR X?

Just add 24 to both sides It cancels on the left, isolating x, then your left with 64 -24+x=40 X=64

8x plus 14 equals -10 what is x?

Though i passed my GCSE Maths in 2008, i think i know the answer. See my method below:

8x+ 14= -10

Add 10 to both sides to get rid of the -10. This leaves you with;

8x+ 28= 0

You can guess that x needs to be a negative number that you can multiply by 8 to get -28.

7x8= 28, so -7x8=-28

Therefore;

x=-7

Interesting but unfortunately wrong, 8x-7 =-56 (maybe I'm wrong though I did my A-levels over 20 years ago)

8x + 14 = -10

8x = -10 - 14

8x = -24

x = -24/8

x = -3

How to Solve the system using substitution 3x plus 2y equals 7 y equals negative 3x plus 11?

Where is y in the first equation, you put its equivalent (=) -3x + 11

The first equation is then transformed into: 3x + 2*(-3x + 11) = 7.

Then you get: 3x + (-6x) + 2*11 = 7 <=> -3x + 22 = 7 <=> 22 - 7 = 3x <=> 3x = 15 <=> x = 15/3 <=> x = 5. Then you substitute the x in the second equation by its equivalent so,

(x = 5)

y = -3*x + 11 <=> y = -3*5 + 11 <=> y = -15 + 11 <=> y = -4.

x = 5. y = -4.

How so you simplify the equation -4-3 plus 6?

[(-4)(-3)]=-4•-3=-12 but since they're both negative the answer is positive so it's +12 + 6= 18

Let f r to r be an elementary function let p and q be two distinct points on the graph of f what is slope of the line determined by these two points?

Let P and Q have coordinates (Px, Py) and (Qx, Qy), respectively (here x and y are intended as subscripts)

Note that Py = f(Px) and Qy = f(Qx)

Slope m = (vertical difference) / (horizontal difference)

m = (Qy-Py) / (Qx-Px)

Which type of solution in equation 3x plus 4y equals 12 is this unique solution?

No. The equation describes a straight line and the coordinates of any one of the infinitely many points on the line is a solution.

How do you graph x plus y equals 9?

its easier solve for y an plot the corresponding points

you,ll get Y=-x+9 an then you find your coordinate points

-2,11

-1,10

0,9

1,8

2,7

3,6

etc

and then plot those points

What is the derivative of x-2 cos x?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. And using ^ to indicate powers (eg x-squared = x^2).

How do you solve 4y equals 2x plus 2?

The equation 4y = 2x + 2 cannot just be solved. If you are trying to solve a system, you need as many equations as you have variables (x and y in this case). Since you have two variables, you need two equations.

For example, if you had:

4y = 2x + 2 AND 2y = 4x + 4, then it would be possible to solve like so....

first solve for one of the variables in one of the equations. Let's go for y in the second equation.

2y = 4x + 4 ----> 2y/2 = 4x/2 + 4/2 ----> y = 2x + 2.

now use this value of y and place it into the first equation and then you can solve for x.

4(2x + 2) = 2x + 2 ----> 8x + 8 = 2x + 2 ----> 6x = -6 ----> x = -1

now you can replace the -1 into either equation and solve for y

4y = 2(-1) + 2 ----> 4y = -2 + 2 ----> 4y = 0 ----> y = 0

So, if there is another equation for you to solve with, you can easily use this method to solve for both variables.

What advantages do parametric equations have instead of numeric values?

Parametric equations not only give a more general solution to a problem, but they also display the relationship between the parameters, thus providing a better understanding of the what the solution suggests.

What education is needed to become a botanist?

To earn the title of "botanist" some might say that you must obtain a degree in botany. However, many doctors and biological researchers are working with plants, though they never obtained such a degree. If you know what you're doing and working with plants for a living, you are a botanist (since botany translates to "of plants").

The volume of 2000 cubic centimeters in cubic meters is what?

The volume of 2000 cubic centimeters in cubic meters is what? Ans: 1 cu.cm = 1 / 1000000 cu.m So 2000 cu.cm = 2 / 1000 or 0.002 cu.m

What is the use of a differential?

Differentials can be used to approximate a nonlinear function as a linear function.

They can be used as a "factory" to quickly find partial derivatives.

They can be used to test if a function is smooth.

What is X plus x plus 28 equals 152?

the equation can also be written 2x+28=152, subtract 28 from each side :2x=124, divide each side by 2 and you get x=62

What is the limit of 2x divided by tanx plus sinx as it approaches zero from the right?

This answer will assume you understand basic concepts of limits. This is what I am interpreting your problem as:

lim x->0+ [(2x)/(tan(x) + sin(x))]

It is easy to see that simple substitution of 0 in for x will yield an indeterminate form 0/0. So, L'Hopital's rule will be applied to solve this limit. This rule states that an indeterminate form in a limit can still be solved for by deriving the top and bottom of the divided function and resolving for the limit. The "top" of this expression is 2x, and the "bottom" is tan(x) + sin(x). Deriving both top and bottom yields a new expression:

2/(sec2(x)+cos(x))

Substitution of 0 into this expression yields a determinate form, because sec2(0)=1/cos2(0)=1/1=1 and cos(0)=1, so the new "bottom" is 1+1=2. The general limit of this new expression is equal to the general limit of the original expression, so:

lim x->0 [2/(sec2(x) + cos(x))] = 2/2 = 1 = lim x->0 [(2x)/(tan(x) + sin(x))]

Since this is a general limit, the limit as x approaches zero from the left and right are equal, so they are both 1.

The answer is 1.

What is supragingival calculus?

That describes the crusty deposition on your teeth above the gum line. Your dentist uses the pick to scrape it off if you don't brush and floss like you should.

How many days would it take you to count to 1 million in 1s?

If you mean, count one number a second, why not divide a million by 86400? That's the number of seconds in a day. If you ever forget this number, it is obtained by multiplying 24 x 60 x 60.