0
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 prove 2x powk plus 4x powk minus 1 equals x powk plus 1?
if you mean: 2x^k + 4x^k -1 = x^k +1
6x^k - x^k = 1 + 1
5x^k = 2
x^k = 2/5 cannot be solved further without more info.
with 2 variables you must have 2 equations to solve further.
What is the value of x if 3x - 4 equals x - 6?
3X - 4 = X - 6
subtract an X from both sides
2X - 4 = - 6
add 4 to each side
2X = - 2
divide each side by 2
X = - 1
--------------
check in original equation
3(-1) - 4 = (-1) - 6
- 3 - 4 = - 1 - 6
- 7 = - 7
checks
n is 2.
To solve, do the division:
. . . . . . . . .x2 +. 3x + (6-2n)
. . . --------------------------
x-2 | x3 + x2 - 2nx + n2
. . . . .x3 -2x2
. . . . .--------
. . . . . . . .3x2 - 2nx
. . . . . . . .3x2 - . 6x
. . . . . . . .----------
. . . . . . . . . (6-2n)x + n2
. . . . . . . . . (6-2n)x - 2(6-2n)
. . . . . . . . . ----------------------
. . . . . . . . . . . . . . . .n2 + 2(6-2n)
But this remainder is known to be 8, so:
n2 + 2(6-2n) = 8
⇒ n2 - 4n + 4 = 0
⇒ (n - 2)2 = 0
⇒ n = 2
-2x-6= -2x-6
Another answer:
-2x-6 = 2x+6
-2x-2x = 6+6
-4x = 12
x = -3
How do you drive the equation y equals mx?
y = mx
dy/dx = m
The derivative is simply the constant in front of x. Here, we have indicated that to be m.
What is the formula for finding the surface area of the circle?
A circle doesn't have a surface area because it is a 2D object. The area of a circle is = pi r2. if you mean the surface area of a sphere it is = 4 pi r2
What is the horizantal line test and vertical line test?
Horizonatal line test is a test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one.
A one-to-one function is a function where every element of the range correspons to exactly one element of the domain.
Vertical line test is a test used to determine if a function is a function or relation. If you can put a vertical line through graph and it only hits the graph once, then it is a function. If it hits more than once, then it is a relation.
You feel someone near you all the time when no one is present?
I was born with a 6th sense,( believe me it isn't a great gift sometimes) , but it may be that you are picking up on a outer plain, again it may be your gardian angel, have you been going through some hard times?, if so that may be it.
What is the derivative of a half to the power of x?
(1/2)x = 2-x = exp (ln 2-x) = exp( -x ln 2). Since d/dx exp(x) = exp(x), we can use the chain rule to find that:
d/dx (1/2)x = -(ln 2) exp(-x ln 2).
Does 12 plus 20 equals 10 equal to 4x plus 14 equals 2x 30?
I am having difficulty understanding your question. 12 + 20 = 10 is obviously false (12 + 20 = 32).
If 4x + 14 = 2x + 30, then x must equal 8.
