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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
Y squared plus y squared - 56 equals?
y2 + y2 - 56 let's factor it such as
= 2y2 - 56
= 2(y2 - 28)
= 2[y2 - (√28)2]
= 2(y - √28)(y + √28)
= 2(y - √4*7)(y + √4*7)
= 2(y - 2√7)(y + 2√7)
What is the factorization of the trinomial -x2 plus 12x plus 28?
x2+12x+28
Improved Answer:-
-x2+12x+28 = (-x+14)(x+2) when factored
How do you take the anti-derivative of a function?
For some functions the answer is relatively straightforward and you have a formula. For other functions, it may be possible, using numerical methods, to calculate the area under the function's curve. This will be a numerical answer to the problem under specific boundary conditions.
What is the answer to this equation y equals -x?
A straight line, at an inclination of 45 degrees (from SW to NE) if the scales for the two axes are the same.
How do you find out the shaded area of the graphs y equals sin x and y equals cosine x?
You find the value of the integral of the difference cos x - sin x between the limits of the shaded area.
Note that if some of the area is below the x-axis when both cos x and sin x are less than 0, then the area will be negative and could result in a total area of zero (for example if the limits are 0 to 2π which results in a complete cycle of sin x and cos x).
What does x stand for in 8x-4 equals 26?
8X - 4 = 26
add 4 to each side
8X - 4 + 4 = 26 + 4
8X = 30
divide each sides integers by 8
(8/8)X = 30/8
X = 30/8
===========reduces to
X = 15/4
--------------check in original equation
8(15/4) - 4 = 26
120/4 - 4 = 26
30 - 4 = 26
26 = 26
----------------checks
The answer is, X = 15/4 or 3.75
How do you change a equation into y equals mx plus b form?
One way to do this is to isolate the y-value. If you had, for instance the equation 2x + 3y = 12, then you would subtract 2x from both sides and divide by 3 to obtain y = 4 - 2/3x. You could then switch the order to get y = -2/3x + 4, the exact form you need. In some cases, though, this method is difficult or unnecessary. In those instances, it is best to remember that m is the rate at which the equation rises, or the slope, and b is the point at which the function crosses the y-axis. Often, it is very easy to isolate these parts of an equation no matter what form it is in. If you know these factors, then, you can plug them into their appropriate positions, and adjusting the variables from there is simple.
How do you answer -2x plus 6 less than equal to 4x plus 18?
-2x + 6 <= 4x + 18
-2x <= 4x + 12
-12 <= 6x
-2 <= x
What is the answer to '-12-6x equals 12-10x'?
-12-6x=12-10x
we can add 12 to both sides, getting:
-6x=24-10x
then we can add 10x to both sides:
4x=24
divide both sides by 4:
x=6
the answer is x equals 6.
What are the solutions of x2 plus 7x plus 3 equals 0?
x2+7x+3 = 0
Using the quadratic equation formula the solutions are:-
x = -6.541381265 or x = -0.4586187349
1 yard = 3 feet
to convert 160ft into yards, divide it by 3. =53.333 yards
to convert 120yards into feet, multiple by 3. = 360 feet
answer in feet: 360ft x 160ft = 57600 ft suared
answer in yards: 53.333yd x 120yd = 6400 yards squared
-2x/3 - 5 = 5
Add 5 to both sides: -2x/3 = 10
Multiply both sides by 3: -2x = 30
Divide both sides by -2: x = -15
Is half X to the power minus a half the same as two over root X?
I'll say no. Let's look at it: Try to make the first part rearrange to look like: 2 / sqrt(X) = 2 / [x^(1/2)] = 2 * x^(-1/2)
Half X to the power minus half could mean
(Half of X) to the power (minus half) = (X/2)^(-1/2) = [(1/2)^(-1/2)] * [(X)^(-1/2)] = [(2)^(1/2)] / [(X)^(1/2)] = sqrt(2) / sqrt(X), which is not the same.
If you mean Half of [X to the power (minus half)] = (1/2) * (X)^(-1/2) = (1/2) / (X)^(1/2) =1 / [2*sqrt(X)], which is not the same either.
