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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
Is this pair of lines parallel 3x-4y equals -3 and 8x plus 6y equals 14?
Put in this form to see. Y = mX + c
3X - 4Y = - 3
- 4Y = - 3X - 3
Y = (3/4)X + 3/4
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8X + 6Y = 14
6Y = - 8X + 14
Y = (- 4/3)X + 7/3
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Closer to perpendicular than anywhere near parallel!
How do you do the equation 4x plus 7 equals 21?
The question doesn't make clear what is meant by "doing" an equation.
Let's manipulate this one in order to find out how much ' x ' is:
4x + 7 = 21
Subtract 7 from both sides:
4x = 14
Divide both sides by 4:
x = 14/4 = 7/2
Why does the difference of squares only apply when the terms are separated by a minus sign?
If the two terms are not separated by a minus sign it wouldn't be a difference.
a2 - b2 factorises easily into (a - b)(a + b).
a2 + b2 does not factorise.
Darius is asked to solve the equation x plus 5 equals 4x?
X + 5 = 4X
subtract an X from both sides of equation
5 = 3X
divide both sides by 3
5/3 = x
How do you work out x plus 11 equals 13?
X + 11 = 13.
Subtract 11 from both sides
X + 11 - 11 = 13 - 11
X = 2
Is the graph of a curve a function?
The graph if a function can be a curve, but it can also be any one of a ton of other shapes.
4 more units, making 7 units in total.
What do you think is true of the square roots of a complex number?
I posted an answer about cube roots of complex numbers. The same info can be applied to square roots. (see related links)
It's called a vector
∫ f'(x)/√(a2 - f(x)2) dx = arcsin(f(x)/a) + C
C is the constant of integration.
