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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 x plus 5 is greater than x plus 7?
You can simplify by subtracting "x" from both sides. This leaves you with:5 > 7
which is FALSE, WHATEVER VALUE "X" HAS; this means that the original equation has no solution.
What is the answer in this math question x is greater than a but less than y?
You haven't stated the question, so we can't be sure what it is.
But I have a hunch that the question could be:
"Write this statement in mathematical notation: 'x' is greater than 'a' but less than 'y'."
If that's the question, then the answer is: a < x < y
If that's not the question, then you're on your own, Bunky.
How do you prove that the volume of a sphere is equal to the volume of a cone?
The volume of a cone is 1/3(h)(pi)(r2), where h is the height of the cone, pi is 3.1415 and r is the radius of the circle that forms the bottom.
The volume of sphere is 4/3(pi)(r2) where pi is 3.1415 and r is the radius of the sphere.
The (r2) means radius squared. If you put in the values of r for each and the value of h for the cone and solve the two equations, and the answers are the same, the volumes are the same. We can set the expression for the volume of a cone equal to the expression for the volume of a sphere. If, when we plug in the variables, they are equal, the volumes will be equal. Vcone = Vsphere 1/3 (h) (pi) (rc2) = 4/3 (pi) (rs2)
What is appropriate number of significant figures?
Any number that is not zero is significant. However, zeros that appear between non-zeros are significant. Even more confusing is that leading zeros are not significant while trailing zeros are. So, it really depends on what you are looking at. And where the zeros are.
What is 2x plus 3x-5 equals 130?
It's a simple linear equation in ' x '.
If you'd like to find the value of 'x' that makes it a true statement (the 'solution'),
you can find it like this:
2x + (3x + 5) = 130
5x + 5 = 130
Subtract 5 from each side:
5x = 125
Divide each side by 5:
x = 25
How do you rewrite the equation so that y is a function of x 3x plus 3y equals 14 minus 4x?
3x + 3y = 14 - 4x
Subtract 3x from each side:
3y = 14 - 7x
Divide each side by 3:
y = (14 - 7x) / 3
How do you solve x squared equals x minus 5?
The problem is a quadratic.
Rewritten as x2-x+5=0
Since this cannot be factored, the quadratic formula can be used.
I can tell there will be imaginary numbers because the discriminant is < 0
b2-4ac = 1-4(1)(5) = -19
(1±(√12-4(1)(5)))/2(1) = confusing = 1/2 ± i√19
495833.333 gallons
X plus x to the 2nd power equals 6?
x + x2 = 6
So x2 + x - 6 = 0
x2 + 3x - 2x - 6 = 0
x(x + 3) - 2(x + 3) = 0
(x + 3)(x - 2) = 0
So x + 3 = 0 so that x = -3
or x - 2 = 0 so that x = 2
What is the range of the equation y equals -x - 1 plus 12?
the range belongs to the set of real numbers and is infinite since the equation describes a straight line.
passing through (1, 180) and (3, 20).
(Note: All of the 'log' in the following are natural logs.)
log(y) = log(c) + k log(x)
Log(180) = log(c) + k log(1) = log(c)
c = 180
log(20) = log(180) + k log(3)
log(20) - log(180) = k log(3)
k = log(20/180) / log(3) = - log(9) / log(3) = -2
y = 180 e-2xIn checking my work, I find that this doesn't work at all.
Oh woe! Where have I failed ?
--------------------------------------------
Here's what I did:
y=Cekx which passes through the points (1,180) & (3,20)
(1) Substitute the values of x & y to create two equations:
180 = Cek & 20 = Ce3k
(2) Rearrange in terms of the constant, C:
C=180/ek & C=20/e3k
(3) Since both sets of points satisfy the exponential function, the constant will be the same so:
180/ek = 20/e3k
(4) Now rearrange and solve for k:
180e3k = 20ek
9 = e(k-3k)
ln(9) = ln(e-2k)
ln(9) = -2k
k = -ln(9)/2 which is approx. -1.09861
(5) Now substitute k into one of the equations to solve for C:
C =180/e(-1.09861)
C = 539.9987 or rounded to 540
So the exponential function that includeds the points (1,180) & (3,20) can be approximated as:
y = 540ekx , where k = -1.09861
What is the value of x if 2x y 8 and 2x - 3y - 8?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. Also use ^ to indicate powers (eg x-squared = x^2).
Where is the infinity sign on a standard keyboard?
If you are using a text application such as Microsoft Word, QuarkXpress, InDesign, etc., you can type "option 5" and that will give you an infinity sign. -Tonypro
Or you can type alt+236 and it will show up as ∞
When multipling a plus sign and a minus sign the end solution would be what sign?
It would be a minus sign. If the two signs are the same, the answer is positive. If the two signs are different, the answer is negative.
Can you determine whether the inverse of a function is a function by using the horizontal line test?
true
