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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
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 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.
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 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 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
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 -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.
-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
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 fast would you be going if you went 800 feet in 10 seconds?
If you went 800 feet in 10 seconds, you would be going 800/10 = 80 feet per second, 237,600 mph.
What line is perpendicular to y equals -8x plus 6?
Any line whose slope is the negative reciprocal of that line's slope will be perpendicular to it. Given the format in which it's written, we can see that this line's slope is -8. This means that any line with a slope of 1/8 will be perpendicular to it. The most obvious one being:
y = x/8 + 6
But there are an infinite number of lines with that slope, and thus an infinite number of lines that are perpendicular to the given one. For example, the line:
y = x/8 + 258734095874390587423
is just as valid an answer.
What is 2 sets of ordered pairs for y equals 6x-13?
#1). x = 0, y = -13
#2). x = 1, y = -7
#3). x = 2, y = -1
#4). x = 3, y = 5
#5). x = 4, y = 11
3x+5=-19
subtract 5 from both sides
(3x+5)-5=-19-5
simplify
3x=-24
divide 3 on both sides
3x/3=-24/3
simplify
x=-8
