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What is the local solution of an ordinary differential equation?
The local solution of an ordinary differential equation (ODE) is the solution you get at a specific point of the function involved in the differential equation. One can Taylor expand the function at this point, turning non-linear ODEs into linear ones, if needed, to find the behavior of the solution around that one specific point. Of course, a local solution tells you very little about the ODE's global solution, but sometimes you don't want to know that anyways.
How do you know if a point is a solution if you are looking at the graph?
To determine if a point is a solution on a graph, check if the point's coordinates (x, y) satisfy the equation of the graph. If the point lies on the curve or line representing the equation, it is a solution. For instance, if the equation is y = f(x), substitute the x-coordinate into the equation to see if it equals the y-coordinate. If it does, the point is a solution.
How is solving for a specified variable in a formula similar to finding a solution for an equation or inequality?
With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.
When graphing a linear inequality in two variables how do you know if the inequality represents the area above the line?
Take a sample point from either the top or bottom of the graph. I like to use (0,0) if it is not on the line. Substitute it into the inequality and if it is true then it represents all points on that line as true and vice versa.
When graphing circles how do you know which way to shade the line?
When graphing inequalities you use a circle to indicate a value on a graph. If the value is included in the solution to the inequality you would fill in the circle. If the value that the circle represents is not included in the solution you would leave the circle unshaded.
what of these numbers is a solution to the inequality 4 times a is less than or equal to twelve?
how about i dont know
When you graph inequalities how do you know what to shade?
Pick a test point, (the origin is the most convenient unless the line of the inequality falls on it), and plug it into the same linear inequality. If the test point makes the inequality true, then shade that side of the line. If the test point makes the inequality false, then shade the opposite side of the line.
What is the local solution of an ordinary differential equation?
The local solution of an ordinary differential equation (ODE) is the solution you get at a specific point of the function involved in the differential equation. One can Taylor expand the function at this point, turning non-linear ODEs into linear ones, if needed, to find the behavior of the solution around that one specific point. Of course, a local solution tells you very little about the ODE's global solution, but sometimes you don't want to know that anyways.
Why do we represent the solution to an inequality with a graph on a number line but we don't do the same for the solution to an equation?
An equation has an equal sign, which means that we know what the variable is equal to :)
How do you know if a value is a solution for an inequality?
A number is called a "solution" for an inequality if, when you plug that number into the variable, the inequality becomes true. For example, 4 is a solution to the inequality "x + 5 < 10", because when you plug in 4 for x, you get "4 + 5 < 10", which is true. (4 plus 5 is 9, which is less than 10.) On the other hand, 6 is not a solution to the inequality "x + 5 < 10", because when you plug in 6 for x, you get "6 + 5 < 10", which is false. (6 plus 5 is 11, which isn't less than 10.)
How do you know if a point is a solution to a system of equations?
The coordinates of the point satisfy each of the equations.
What is the solution to the inequality below x2 is greater than 36?
The solution to the inequality x^2 > 36 can be found by first determining the values that make the inequality true. To do this, we need to find the values of x that satisfy the inequality. Since x^2 > 36, we know that x must be either greater than 6 or less than -6. Therefore, the solution to the inequality x^2 > 36 is x < -6 or x > 6.
How is solving for a specified variable in a formula similar to finding a solution for an equation or inequality?
With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.
How is solving for a specified variable in a formula different to finding a solution for an equation or inequality?
With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.
When graphing a linear inequality in two variables how do you know if the inequality represents the area above the line?
Take a sample point from either the top or bottom of the graph. I like to use (0,0) if it is not on the line. Substitute it into the inequality and if it is true then it represents all points on that line as true and vice versa.
What is the end point when aluminium fluoride solution is titrated against thorium nitrate solution?
I don't know, I suppose we have to ask a chemist.
How you know specific compound from another by melting point?
Melting point is a unique characteristic of a substance.
