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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 do 16 equals x plus 4.2?
you can subtract 4.2 from both sides of the equation.
16=x+4.2
(16)-4.2=(x+4.2)-4.2
11.8=x+4.2-4.2
11.8=x
How do you factor 4x4 plus 34x plus 42?
You cannot factor 4x4 + 34x + 42
The expression has a minimum value of approx 9.21616 when x = -1.286 (= 0.5*cuberoot(17). Since the expression is always positive, it does not cross the x-axis and so does not have any real roots. Consequently, it does not have any real factors.
What is discontinuity of a function?
continuty: for every point on a line, give me any distance no matter how small, within that distance of the point there is 2 other points ( or more) on the same function
discontinuty: does not satisfy that
Can a pentomino be 5 equal spuares in a line?
Sure. A pentomino is any figure you can make by laying squares side by side on a plane, with two adjacent squares touching with their entire length. This includes five in a line. In total (eliminating duplicates due to rotations and reflections), 12 different figures can be made this way.
What is the center and radius of x2 plus 6x plus y2-6y-232 equals 0?
As I understood your question:
"What is the center and radius of: x2+6x+y2-6y-232=0?"
First move 232 over to the right hand side to get: x2+6x+y2-6y = 232.
Complete the square for both x's and y's: (x2 + 6x+ 9) + (y2 - 6y + 9) =232 + 9 + 9
Then rewrite: (x+3)2+(y-3)2=250
Now you can pick off the center --> (-3,3); and
radius --> sqrt(250) = 5sqrt(10) approx. 15.8114
What is the ordered pair for y equals -x-1?
y = -x-1 is an equation that defines y as a function of x. For each possible value of x, it tells us how to calculate the corresponding value of y. For example, when x is 3, y is -4. So the ordered pair (3, -4) belongs to the function. Similarly for other values of x. Some mathematicians define functions so that the ordered pair is the other way around, so that the above point would be written as (-4, 3). This is just an arbitrary notation convention. The important thing is to be consistent in whichever notation you use.
What are some real life applications of a pattern in algebra?
Read word problems in a math book.
Joe pays 25 dollars for 3 cds. At the same rate, what should he pay for 105 cds?
You are given sin x equals 5 over spare root 34 . Work out the value of tan x. URGENT?
Brute force method,
with calculator:
Sin(x) = 5/sqrt(34) = 0.85749 (rounded)
x = 59.0362 degrees
tan(x) = 12/3
================================
Better method, with elegance
and no calculator:
Sin(x) = 5/sqrt(34) = (opposite side)/(hypotenuse) of the right triangle.
What is the length of the other leg of the same triangle ?
(5)2 + (leg)2 = [ sqrt(34) ]2
(leg)2 = [ sqrt(34) ]2 - (5)2 = 34 - 25 = 9
leg = 3
tan(x) = (opposite side)/(adjacent side) = 5/3 = 12/3
x = -0.5 + 2.397915761656359i
x = -0.5 - 2.397915761656359i
where i is the imaginary square root of negative one.
What is the most popular approach to integration?
Legacy system integration. ...
Enterprise application integration (EAI) ...
Third-party system integration. ...
Business-to-business integration. ...
Point-to-point model. ...
Integration platform
What is the anti-derivative of sqrtx2-x?
f'(x) = (x2 - x)1/2
1. Add one to the exponent
2. Divide step 1 by the exponent plus one
= (x2 - x)1/2+1
____________
1/2 + 1
= (x2 - x)3/2
_________
3/2
= (2/3) (x2 - x)3/2 + C
It may also be written:
[2(x2 - x)3/2 / 3] + C
Check:
f(x) = (2/3) (x2 - x)3/2
Using the chain rule:
f'(x) = (2/3) (3/2) (x2 - x)3/2-1
= (x2 - x)1/2
Why does your low mile 2001 5.2 liter have half the power of your 1998 work truck with 300000 kms?
you have to consider weight. Is it the 1500-2500-3500? Size of tires? Size of wheels? If all these are the same you may want to check out your engine. Maybe your not running on all 8.
What is the next letter A f v u g l t?
If you read Ludwig Wittgenstein's comments on language games, you will find that any next-in-series problem has an infinite number of soluitons. I am curious, though, to learn what you or others think is the "uniquely correct" answer to your challenge.
Yes, he was married to his fourth cousin, Louise de Long.
Can you write a program to generate sinx table where x varies from 0 to 180 in steps of 15?
Yes, I can.
2
What is The sum of three consecutive integers is -420 find all three integers?
Possible the simplest math question ever.
-420 / 3 = -140.
So the numbers you need are -139 , -140 , -141.
