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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
Why is it important to know various techniques for solving systems of equations and inequalities?
It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.
When graphed are the lines y equals 8x plus 4 and y equals 8x parallel perpendicular or neither?
The slope of both lines is 8. So they're parallel.
What is the integral of e x 2?
http://www.wolframalpha.com/input/?i=integrate+exp(x^2)
The solution lists an "imaginary error function". This means that the integral can NOT be expressed as a finite number of the so-called elementary functions (that is, as any combination of addition, subtraction, multiplication, division, trigonometric functions, inverse trigonometric functions, exponential function, natural logarithm).
The site mentioned also shows a series expansion.
Is it rate x time x people equals cost or rate x time x cost equals people?
The first: rate*time*people = cost.
Eqn (A): => 2x + 5y = 16
Eqn (B): => 5x + 2y = -2
5*Eqn (A) - 2*Eqn (B): 21y = 84 => y = 4
Substituting for y in Eqn (a): x = -2
Is x squared plus 5y minus x equals 7 a function?
No. It is an equation.
A function would link the variable x to another variable - possibly denoted by y. It is a relationship between two (or more) variables.
What does C stand for in E equals mc squared?
Lower case c is speed of light, capital C is for specific heat in thermodynamics.
Given that 3x-ax-2x-73x3-32x2 87x-70 determine the value of a?
3x-ax-2x-73x3-32x2=87x-70 First change to addition so it is easier to simplify 3x+(-ax)+(-2x)+(-73x3)+(-32x2)=87x-70 Combine all of the like terms x+(-ax)+(-73x3)+(-32x2)=87x-70 get rid of the x on the left side -ax+(-73x3)+(-32x2)=86x-70 Now you can move the 73x3 and the 32x2 to the other side by adding it to both sides to get rid of the first because they are negative. -ax=86x-70+73x3+32x2 now divide both sides by -x to get a by itself and positive. a=(86x-70+73x3+32x2)
.... -------------------------
...................-x
(Ignore the dots, they wont let me space without getting rid of the spaces after I post it) Then you can use distributive property on the fraction. a=-86-(70/-x)+(73x3/-x)+(32x2/-x)
Now I'm stuck, sorry, but can somebody else take over please?
Difference between laplace transform and z transform?
the difference is the "S" and "Z" parameters.
S used for analog computation while Z for digital processing.
basically Z is the digital approximation of the analog frequency domain signal.
Z=exp(sT)
where T is the sampling time.
What is the answer to 3x to the 3rd power minus 10x equals 17x and how do you find it?
3x3 - 10x = 17x divide by x to both sides
3x2 - 10 = 17 add 10 to both sides
3x2 = 27 divide by 3 to both sides
x2 = 9
x = ±√9
x = ±3
