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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
What is the every-day use of a derivative?
To find the rate of change.
Velocity, for example, is the rate of change of distance - in a specified direction. Acceleration is the rate of change of velocity.
How do you solve Sin x sec x equals tan x?
Cos x = 1 / Sec x so 1 / Cos x = Sec x
Then
Tan x = Sin x / Cos x = Sin x * (1 / Cos x) = Sin x * Sec x
What is x if 4x plus 3.6 plus x equals 1.2?
4x + 3.6 + x = 1.2
5x = 1.2 - 3.6
5x = - 2.4
x = - 2.4 / 5
x = - 0.48
What is the factorization of -2x3 - 2x2 plus 12x?
-2x3 - 2x2 + 12x
= -2x(x2 + x - 6)
= -2x(x2 - 2x + 3x - 6)
= -2x[ x(x - 2) + 3(x - 2) ]
= -2x(x + 3)(x - 2)
What is the x-intercept of 2x-3y equals 12?
you just put 0 in for Y and solve for x.
So 2x-3(0)=12, so x=6.
-5x -23 + 3x = -27
Combine like terms:
-2x - 23 = -27
Add 23 to each side:
-2x = -4
Divide each side by -2:
x = -4/-2
x = 2
How do you put 4x - 3y equals -7 in y equals mx plus b form?
4x - 3y = -7
Change all signs: -4x + 3y = 7
Add 4x to both sides: 3y = 4x + 7
Divide both sides by 3: y = (4/3)*x + 7/3
m = 4/3, b = 7/3
What is -6y plus 7x equals -9?
It's the equation of a straight-line graph. Every point on the line is
a solution of the equation. There are an infinite number of them.
What is 1 over 15 plus 3 over 5?
To answer this question, first find a common multiple of 3 and 5. Because 5*3=15, multiply 3/5 by 3/3 (one) to get 9/15. Now just add 9/15+1/15 to get 10/15, which can be reduced to 2/3.
Hope this helps!
What is the product of 6 x 6 x 7 x 7 x 9 x 9 in exponential form?
6^2 * 7^2 * 9^2
36 * 49 * 81
= 142,884
72
How do you factor 2x2 plus 10-9x equals 0?
2x2 + 10 - 9x = 0 or 2x2 - 9x + 10 = 0
So (x - 2)*(2x - 5) = 0
What is the answer to -12x equals 72?
We'll go ahead and find the answer, even though we're not completely convinced
that you know what the question is.
-12x = 72
Divide each side of the equation by -12:
x = -6
How do you plot 3x minus 4y equals 4?
Put it into slope intercept form and then proceed to use your favorite method of graphing.
slope-intercept:
y = -3x + 1
