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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

In pentagon the no of diagonals is 5 how?

Trace from each corner to each other corner that it is not directly connected to.

count the number of lines within the shape.

How many feet would you travel in five seconds going 60 miles per hour?

You must convert both time and distance: There are 3600 seconds in an hour. There are 5280 ft in one mile. Therefore to convert mph to fps, you multiply by 5280/3600 or 1.46. So, 60 X 1.46 x 5 seconds = 440 ft.

If A bth power and b ath power 41286 whats a and b?

If "and" represents + or *, then the only integer solution is a = 41285 and b = 1 (or the other way around).

What do you do if you only have a day to get your math paper done and you need answers?

Come to WikiAnswers.com or Ask.com or Answers.com and ask your Math questions. Just don't tell your parents. Or your teacher. You can't even tell your best friend. Even they might tell on you. Tell nobody.

How do you turn a mixed number in to a fraction?

To find the new numerator you have to multiply the denominator by the whole number, then add the old numerator to that product. Then you would just put the answer to that expression on top of the original denominator. For example, 3 and 4/5. You would do 5*3+4 equals 19. Then you put the 19 over 5. So 3 and 4/5 equals 19/5.

How is symmetry related to tessellation?

Tesselation (or tiling) generally implies translational symmetry, because you can generally move one part of a tiling over another a specific distance away and get an exact match (ie the tesselation is periodic). A counterexample (possibly the only one) is Penrose tiling, which is non-periodic. There is certainly no need for a tesselating shape to have either bilateral or rotational symmetry: all triangles and all parallelograms (including squares and rectangles) will tessellate.

I'm afraid this is a rather superficial answer to this very interesting question; a deeper one will have to come from someone with a knowledge of group theory.

I have many problems regarding complex numbers . will you solve them for me?

Those of us who love and eat complex numbers for lunch will HELP you to discover your hidden talents in solving your problems.

What is the answer to 4x2 plus 49?

4x2+49

First multiply then addition.

8+49

=57

Answer is 57.

What is 2x squared minus 1?

That's going to completely depend on what 'x' is.

How do you do this problem 2x equals 7x - 10?

2x = 7x - 10

subtract the 7x from both sides

2x - 7x = -10

-5x = -10

divide both sides by -5

x = 2

Sin Squared x plus cos x equals 0 for x is a part of 1 to 360 degrees?

Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.

Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.

Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.

Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.

How many seconds would it take to travel 365 feet if you were going 40 miles per hour?

These are way easier then people make them... use picket fences and units of conversion:

So to do this procedure:


tfinal=? vo=40 mi/hr dfinal=365 ft


So take 40 and divide it by 60 min then divide again by 60 sec to get units into seconds. Then take this number and multiply by 5280 ft to get units in ft/sec. Now we now that 40 mi/hr = 58.66 ft/sec we can take our dfinal over 58.66 ft/sec to get a tfinal= 6.22 s.

What is the answer to -3x plus 10x-5?

Combine like terms

-3x+10x becomes (-3+10)x
which can be expressed as 7x
put the -5 back in and the simplified equation is
7x-5

You did not specify an = sign in the equation but if we make the equation = to 0 then we can take this farther.

7x-5=0

add 5 to both sides and we get

7x=5

divide both sides by 7 and we end up with

x=5/7

Where do you plot -4x plus 4?

y=-4x+4
A good way is to give numbers for x and see what y is. I've done enough of these to see it in my head.
All you need is two points. The y-intercept is 4 because that's when x is 0. (0,4)
Then go right unit then down 4 and that's your next point.
0=-4(1)+4
Which is (1,0)

Connect the two lines