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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
2x2 - 20x - 106 = 0
(20 +/- sqrt(400 + 848))/4
=(20 +/- sqrt 1248)/4
= (20 +/- 35.33)/4
= 55.33/4 or -15.33/4
= 13.83 or -3.83
How do you solve 3.5y2 plus 2.6y-8.2 equals 4y2-6.9y using the quadratic formula?
Multiply each item by 10 to give whole numbers then move items to give ay2+by+c=0
3.5y2+2.6y-8.2=4y2-6.9y multiply by 10
35y2 + 26y - 82 = 40y2 -69y
subtract 35y2 from both sides
26y - 82=5y2 -69y
subtract 26y from both sides
-82 = 5y2 - 95y
add 82 to each side
0 = 5y2 - 95y +82
or
5y2 - 95y +82 = 0
How many cubic centimeters does 1 cubic meter equal?
A cube with sides that measure 1 meter, will give you:
100 cm x 100 cm x 100 cm
which equals:
1,000,000 cm3
-8 x -9 + (-3) =
(-) (-) to "bad" guys have a good time so:
8 x 9 - 3 =
is basically what your saying so:
8 x 9 = 72 - 3 = 69
What is X plus X equals 10 plus 2?
i assume you mean what does x equal in this case. and the solution is x=6.
x+x=10+2
2x=12
x=6
What does 3 minus 6x equals 4x plus 9?
3 - 6X = 4X + 9
subtract 4x from each side
3 - 10X = 9
subtract 3 from each side
- 10X = 6
divide each sides integers by - 10
(- 10/- 10)X = 6/- 10
X = - 3/5
==========check in original equation
3 - 6(- 3/5) = 4(- 3/5) + 9
3 + 18/5 = - 12/5 + 9
now, 3 = 15/5 and 9 = 45/5
15/5 + 18/5 = - 12/5 + 45/5
33/5 = 33/5
===========checks ( learn to use fraction with as much confidence as whole numbers as you will see much of this in college math )
If: y = 3x^2 +10x +11 and y = 2 -2x -x^2
Then: 3x^2 +10x +11 = 2 -2x -x^2
Transposing terms: 4x^2 +12X +9 = 0
Factorizing the above: (2x+3)(2x+3) = 0 meaning x = -3/2
By substitution into original equations intersection is at (-3/2, 11/4)
What is the x-intercept of 2x plus 8y equals 40?
This form needed. Y = mX + c
2X + 8Y = 40
8Y = - 2X + 40
Y = - 1/4 + 5
-----------------------zero out the Y
- 1/4X + 5 = 0
- 1/4X = - 5
X = 20
-------------------your X intercept
How do you solve 4 sin squared x equals 1?
4 sin2x = 1.
Then,
(2sinx)2 = 1,
2sinx = ±1, and
sinx = ±½.
Whence,
x = 90° or 270°;
or, in radians,
x = π/2 or 3π/2.
What number must you add to complete the square of x2 plus 2x equals -1?
x2+2x+1 = 0
(x+1)(x+1) = 0
x = -1 and also x = -1
What is the geometrical meaning of second derivative?
The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
What is the solution set for -x3-2x2-x-2?
There can be no solution set because there is no equation or inequality, only an expression.
What is the graphing solution for y plus x equals -2?
Each and every one of the infinitely many points on the line y + x = -2
What is 0.827 as a fraction in simplest form?
As you get practiced with these and the decimal over 1 system (.827/1 ) you will begin to see their is only one fraction possible here.
827/1000
============simplest form
Friction- A force that acts upon objects to resist change in motion.
If you try to push a car up a slick, icy hill, it will be easier than trying to push the same truck up a dirt road with lots of gravel. Why? Because the dirt and gravel rub against the tires to help the truck resist motion.
Find tan arcsec x for x less than or equal to 0?
So do this by a right triangle.
tan θ=tan arcsecx
θ=arcsecx
x=secθ
x=1/cosθ
cosθ=1/x
In a right triangle, this would look like the following
___________________________________e
________________________________s__o
____________________________u______p
_____hypotenuse=1________n_________p____opposite=[1-(1/x^2)]^(1/2)
____________________e______________o
________________t__________________s
____________o______________________i
________p__________________________t
____y__θ________________________e
h____a____d____j____a____c___e___n__t
adjacent=1/x
the tangent of theta is then the length of the opposite over the adjacent, so it is
{[1-(1/x^2)]^(1/2)}/(1/x)
This is going to simplify to
[(x^2)-1]^(1/2)
That's how you do it. Sorry about all the parentheses and lines in the triangle, but I don't know how to do it any other way.
