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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

How do you answer addmaths project 2010?

if a kilogram of cake has a 3800cm3,and the height of the cake is to be 7.0cm,calculate the diameter of the baking tray to be used to fit the 5kg cake ordered by your school.

How do I factor 45b2 plus 150bd plus 125d2?

45bb+150bd+125dd

Steps:

1. Factor out common terms

45bb+150bd+125dd

5(9bb+30bd+25dd)

2. Multiply coefficients of first and third terms:

9*25=225

3. Factor product of first and third terms, choose factors whose sum is the second term(30):

225=3*3*5*5

=3*75

=5*45

=15*15

4. Rewrite polynomial:

5(9bb+30bd+25dd)

5(9bb+15bd+15bd+25dd)

5. Factor sets of terms (first and second, third and fourth):

5(9bb+15bd+15bd+25dd)

5(3b(3b+5d)+5d(3b+5d)

6. Combine like terms:

5(3b+5d)(3b+5d)

7. Combine like terms:

5(3b+5d)**2

What is the answer to 2x-3 equals -7?

2X - 3 = - 7

add 3 to each side

2X - 3 + 3 = - 7 + 3

2X = - 4

divide each sides integers by 2

(2/2)X = - 4/2

X = - 2

=========check in original equation

2(- 2) - 3 = - 7

- 4 - 3 = - 7

- 4 (+) - 3 = - 7

- 7 = - 7

=======checks

Is calculus hard if you are excellent in basic algebra?

Not really. Of course, you'll have to learn some new concepts - just as when you learned algebra.

Cubic graph oh - x plus 3 2-x?

There is insufficient information for us to even begin to understand this question. Please edit the question to include more context or relevant information.

What are the values of the variables when 6x squared plus 2x plus k equals 0 has repeated roots?

Equation: 6x^2 +2x +k = 0

Using the discriminant formula: k = 1/6

Using the quadratic equation formula: x = -1/6

Check: 6(-1/6)^2 +2(-1/6) +1/6 = 0

What is the answer to 2X 3 9 X?

Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question. Please edit your question to include words for symbols and any other relevant detail.

When can there be eight zeros in a billion?

One billion is 1000 million which is 1,000,000,000 although you can have one-hundred million which contains 8 zeros, 100,000,000.

What is the function for y equals x2?

f(x) = x2

This describes a parabolic curve, with it's vertex at the point (0, 0)

What is the solution for the equation x plus 1 equals x plus 2?

x+1=x+2 x=1+2+x 0x=1+2 0x=3 0x=/=3 (=/= means does not equal) so there is no solution

60078091 is equal to?

Sixty million, seventy-eight thousand, ninety-one.

5X plus 5y equals -7 how do you solve by elimination?

To solve for two unknowns (x and y) you need two independent equations.

All that you can do with the above is to express x in terms of y, as follows:

5x + 5y = -7

x + y = -7/5

x = -7/5 -y

Similarly, you could express y in terms of x as: y = -7/5 -x

IF, you had a value for either x or y from some other equation (or other source), you could substitute that value in either of these equations to solve for the other.

What costs cannot be considered in calculating landed cost?

If your party is shipping you goods on an FOB incoterm, then the regular costs like import taxes, bank charges (wire-transfers), third party charges like an export trading company charges cannot be included. Operative word is FOB - Free on Board.

What hacks and extensions are added to MediaWiki to make WikiAnswers.com function as it does?

i believe it they didn't use any "hacks"; but think that it's actually just that mediawiki is porobably very customizeable.

Given y plus 6y' plus 13 y equals 0. How do you find the frequency of the oscillation and describe the motion as t to infinity?

well, simplifying:

6y'+14y=0

Take y=c*e^(rt), substitute and divide by c*e^(rt):

6r+14=0, r=-7/3

y=c*e^(-7t/3), no oscillation occurs.

However, if you meant y''+6y'+13y=0,

Use the same methods:

r^2+6r+13=0

Solving, r=-3 plus or minus 2i

substituting r and using superposition principle.

y=(e^(-3t))(c_1cos(4t)+c_2sin(4t))

Frequency is probably period which is 2pi/4=pi/2, and taking the limit as t approaches infinity e^(-3t) is zero so the sine and cosine terms don't matter. So y approaches zero as t approaches infinity.

How do you solve the problem 0.25m plus 3 4?

Unfortunately, limitations of the browser used by WA 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.

Something seems to be missing between 3 and 4 at the end of the question.

Is E equals MC² true?

If you're talking about the mass/energy equivalence that arises out of Einstein's
Relativity, it's been verified in thousands of experiments over the past 70 years.
No serious question remains, and it's one of the relatively few 'theories' that have
graduated to the status of 'law'.