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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

If x equals 0 and y equals 1, what is the value of xy?

The answer is 0. In algebra, the multiplication symbol is not used, as it would be too commonly mistaken for the letter x, which looks the same, but serves a completely different purpose. Algebra, is in short, just a way of substituting numbers for letters, to make complicated sums and equations seem more manageable. If x equals 0 and y equals 1, then it is just another way of saying 0 x 1, which is obviously 0, because 0 lots of anything, is always 0.

Who gives the complex number?

I will be glad to give you a complex number. (i^i)^i is i raised to the i power and

raised to the i power again. This is not the same as i^3 which is -i but computes to .947 + .321i

How do you solve 2x plus y equals 8 y equals -x plus 5 substitution method?

2x+y = 8

y = -x+5

Substitute y for -x+5 into the first equation:

2x+(-x+5) = 8

2x-x+5 = 8

x = 8-5

x = 3

Substitute the value of x into the original equations to find the value of y:

x = 3 and y = 2

Why do we find the limit of a function?

Typically, it's to give you an idea of a function graphically. Sometimes you deal with functions that are really hectic in design and they don't really have all the points smoothly in place (for example, a graph with an empty point or ^, a peak). A limit gives you an idea of what's happening with the graph as you get close to that point or area (as with infinity not being an actual point), hence the "as x approaches N," N being either some number, or negative or positive infinity.

How do you solve competitive maths questions more effectively?

DO ALGEBRA!

If you don't know algebra, ask your mom and dad or attend a class on algebra or LOOK IT UP ON THE COMPUTER!

Can you explain what a borehole log is?

A borehole geophysical log is the science of recording and analysing measurements of physical properties made in wells or test holes.

Borehole Geophysical logs provide a borehole record of the lithology, fractures, permeability, porosity and water quality.

What statement must you write before differentiating from first principles to show your knowledge of the topic?

You should generally state that the function is continuous and differentiable over the interval you are using (or throughout the entire function).

What is the discriminant in the quadradic equation x squared plus 11x plus 121 equals x plus 96?

x^(2)+121=x+96

Standard form of quadratic eqn.:

ax^(2)+bx+c=0

Thus,

x^(2)-x+25=0

Discriminant formula:

We let, a= 1; b= -1; c= 25

D=b^(2)-4ac

Thus,

D=(-1)^2-4(1)(25)

D=-99

-3y plus 11 equals 20?

y=-3

-3 times -3= 9, 9+11= 20.

-3y + 11 =20

subtract 11 from each side, then -3y = 9

divide each side by -3, then y = -3

What is 7900 times 3.14?

Wikianswers calculator says 7900 * 3.14 = 24806.