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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 solution to 7over8b-1 equals -15over16b plus 4?

If you mean: 7/8b - 1 = -15/16b + 4

Then the value of b works out as 0.3625

Solve this equation 9h plus 2 - 79?

That's not an equation, and there's no solution required.

An equation has an 'equals' sign ( " = " ) somewhere in it.

That expression is just 9h - 77. Its numerical value depends on what 'h' is. Every time

'h' changes, the value of that expression changes. That's all there is to say about it.

15x - 5 equals 7 plus 12x?

Subtract 12x from each side: 3x - 5 = 7

Add 5 to each side: 3x = 12

Divide each side by 3: x = 4

Find its nth derivative e to the power x sq By 2 multiply cosx?

I suggest you calculate the first 2 or 3 derivatives, and see whether you can find a pattern.

What is the anti derivative of ax plus b whole raised to the power 2?

First expand the equation to get the following:

(ax+b)2 = (ax+b)*(ax+b) = a2x2+2abx+b2

Now do the integral, remember a&b are just coefficients, so:

∫a2x2 + 2abx + b2 dx

So this integral becomes the following after integrating each term:

(a2/3)x3 + abx2 + b2x + C

You can always take the derivative of the answer to check & see if it is correct.

What is the value of x in x plus 15?

The information given places no restriction at all on the value that x can have. It can be any number - integer, rational, irrational or complex - of any magnitude.

What is A equation for -2x plus 8 equals 7x-10?

-2x + 8 = 7x - 10 is technically an equation, in and of itself.

How do you solve this problem 7x - 3 - 2x equals 17?

7x - 3 - 2x = 17

-2 -2

7x - 3 - x = 15

-7 -7

x - 3 - x = 8

+3 +3

x - x = 11

+x +x

x=11x

-x -x

(x=) 11

does that look familiar from class? You can do it different ways...

* * * * *

Yes, you can do it the correct way, instead!

7x - 3 - 2x = 17

Combine the like terms (7x and -2x) on the left side: 5x - 3 = 17

Add 3 to both sides: 5x = 20

Divide both sides by 5: x = 4

Check:

7*4 - 3 - 2*4 = 28 - 3 - 8 = 28 - 11 = 17

Does not work with x = 11!

What is the integral of x divided by a 7?

First just "factor" out the constant: (1/7)

∫ x/7 dx = 1/7

∫x dx


The integral of xn is xn+1/ (n+1)
In this case, our n=1 so:
x(1+1)/(1+1) = x2/2


Don't forget about the 1/7 we factored out:
(1/7)(1/2)(x2) = x2/14


Therefore the answer is (don't forget your C):

∫

x/7 dx =

x

2/14 + C

What is the inverse function of y equals -x-5?

This was on my test yesterday . . .it's really easy, just put a one over the -x-5.

How do you find value of y x-y equals 5 and x equals 3y equals 21 also another is 9y over 3 equals 3 - 6?

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. Also use ^ to indicate powers (eg x-squared = x^2).

It would appear that some symbols are missing: for example, between y and x-y. Second, the equations, such as there are, are not mutually consistent.

When writing an algebraic expression do you write the coefficients with the highest value first example 7x plus 3y or is 3y plus 7x also correct?

It is correct to write it any way you like.

However, when dealing with equations it is usual to give the dependent variable (usually y) first; if it is unknown which variable is the dependent one (or for any general expression), they are usually written in alphabetical order.

How do you solve 22-7x equals 0?

22 - 7x = 0 /+7x

22 = 7x /divide by 7

x = 22/7 = 3 1/7

22/7 is your more formal answer, that's pertaining what's asked for the question, is it to answered as a mixed fraction, or improper fraction.

How is being good at mathematics going to help you with physics chemistry and engineering?

Because the majority of economics, physics and engineering and general chemistry requires you to be able to calculate, not just learning concepts.