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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
Can you find the point of intersection of the lines with equations y equals 7-3x and y equals 2x-3?
Yes I can. Where the lines intersect, (7 - 3x) = (2x - 3). Add (3 + 3x) to both sides of this equation, giving: 10 = 5x or x = 2. Plug x=2 back into either one of the given equations to find 'Y'. If we've done our work correctly, we should get the same 'Y' regardless of which equation we plug x=2 into. And in fact we do: From the first one: Y = 7 - 3x = 7 - (3 times 2) = 7 - 6 = 1 From the second one: Y = 2x - 3 = (2 times 2) - 3 = 4 - 3 = 1 So the two lines intersect at the point ( 2, 1 ).
You need two sets to have an intersection. If you have two sets, call them R and S,
then their intersection is the set T that contains all elements of R that also belong to S OR all elements of S and also belong to R...it's the same thing.
Why you use simpson's method for integrating it can be done by simple integration method also?
Sometimes a function can't be integrated by regular methods, or just an estimate for the integral is needed. It's silly to use Simpson's Rule for a function such as cos(x) that has an elementary antiderivative, but something like e^(-x^2) doesn't. So, you can approximate the definite integral using Simpson's Rule.
Discriminant of 7x to second power minus x plus 1 equals 0?
The discriminant in the quadratic equation is the term B2-4AC. This is the part under the square root sign, with the full form being (-B +/- SquareRoot (B2-4AC)) / 2A.
If the original poloynomial is 7x2 - x + 1 = 0, then A=7, B=-1, and C=1, so the discriminant is -27. Since this is negative, there are two complex conjugate roots.
14x - 2 = x + 6
add 2 to both sides
14x = x +8
subtract x from both sides
13x = 8
x = 8/13
∫ f'(x)/√[f(x)2 + a] dx = ln[f(x) + √(f(x)2 + a)] + C
C is the constant of integration.
integral sin(3 x) cos(5 x) dx = 1/16 (8 cos^2(x)-cos(8 x))+C
Which ordered pair is a point on the graph y equals 3x plus 1?
There are many different ordered pairs for this. To figure it out, make up a value for x. Then plug it into the equation and solve to find y. You can use any number. For example, if x=2, then your equation would be 3(2)+1. Solve that and you get 7 for the answer (y). if x=2, then y=7 so one of the ordered pairs would be (2,7).
How do you solve this 8 5x -6x 30?
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", "squared", "cubed" etc.
I can see no equation nor inequality.
X2 plus 3x plus 2 over x plus 2 Identify any restricted values on the domain. steps please?
(x2+ 3x + 2) / (x + 2)
= (x + 1)(x + 2) / (x + 2)
= x + 1; but with the following important proviso:
(x + 2) can not equal zero; otherwise we are dividing by zero.
Thus,
(x2+ 3x + 2) / (x + 2) = x + 1, if x ≠ -2; and
(x2+ 3x + 2) / (x + 2) is undefined, if x = -2.
kg*m/s2
This is the units of force in SI. It is not the dimensions. The dimensions are below. -------
Mass * Length * Time-2
Thus, "[M][L][T -2]" are the dimensions of force.
See reference below or more information.
Gray, Costanzo, & Plesha, Engineering Mechanics, Dynamics,McGraw-Hill, 2009, ISBN: 0077-27554-3What is the integral of position?
Physically, it's pretty meaningless. You'll get units of distance times time, so standing 10 metres away from a reference point for two seconds. will give you 20 distance-time's. You can see how this is a fairly meaningless measure.
What is the solution of the equation x2 plus 8x equals 4?
It will have two solutions because its a quadratic equation:
x = -8.472135955 or x = 0.472135955
Program to find the sum of the series as 1 plus x plus x2 plus x3 plus?
The idea is to use a loop. To reduce the additional effort (and innacuracy) of power calculations, you can do repeated multiplication, as part of the loop. For example, in Java:
double sum = 1;
double xpower = 1.0;
for (int i = 1; i <= 100; i++)
{
xpower *= x;
sum += xPower;
}
The idea is to use a loop. To reduce the additional effort (and innacuracy) of power calculations, you can do repeated multiplication, as part of the loop. For example, in Java:
double sum = 1;
double xpower = 1.0;
for (int i = 1; i <= 100; i++)
{
xpower *= x;
sum += xPower;
}
The idea is to use a loop. To reduce the additional effort (and innacuracy) of power calculations, you can do repeated multiplication, as part of the loop. For example, in Java:
double sum = 1;
double xpower = 1.0;
for (int i = 1; i <= 100; i++)
{
xpower *= x;
sum += xPower;
}
The idea is to use a loop. To reduce the additional effort (and innacuracy) of power calculations, you can do repeated multiplication, as part of the loop. For example, in Java:
double sum = 1;
double xpower = 1.0;
for (int i = 1; i <= 100; i++)
{
xpower *= x;
sum += xPower;
}
How do you graph y equals 40x plus 50?
The graph is a straight line, with a slope of 40, passing through the point y=50 on the y-axis.
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
