A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
Two possibilities: The line is linear over some of its length and then goes non-linear (or the other way round: Think of a mass, at the end of a string, being swung in a circle. Then the string is cut. The motion of the mass would have been circular (lon-linear) until the instant the string was cut and then linear, as it flies off into a tangent. Or The line is linear from one perspective but not from another: Think of the trajectory of a ball that is thrown up at an angle to the horizon. If seen from above, the ball travels in a straight line (linear) but if seen from the side it follows a parabola (non-linear). Hope that helps.
I'm not exactly sure what the equation is supposed to be, but it looks like there are no variables, x or y, that have a power, squared, cubed, etc., so the equation would be linear. As soon as you put a power into the equation it becomes nonlinear.
That would depend on the cross sectional area of that linear meter of steel and as you have not told us that we can not answer you. To work out the answer for yourself you need to know the VOLUME of your steel and you multiply this by the density of your steel to give you a weight.
Ans:when two quantities depend on each other (like speed and distance), then when an amount increase in one quantity causes a corresponding amount increase or decrease in the other quantity that is the same regardless of the value at which the measurement was taken, then that's linear.Sounds a big horrible.OK, if you drew a graph of one quantity against another, it would form a straight line, and we say it increases or decreases (depending on whether the graph is increasing or decreasing) linearly. it means in creases with a power of 1, with a common ratio for increasing values of x.OK, what if it was y= ax^2? This is not linear, because it increases with a power of 2.A linear line takes the form y = mx +cwhere m is the ratio and c determines the point the graph cuts the x=0 line.
You would add 'non' to the beginning so it becomes 'nonlinear'.
A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
One way to change the root word "linear" to mean not linear is by adding the prefix "non-" to it, resulting in the word "nonlinear."
In general all systems are nonlinear but we simplify this nonlinear vibration to linear ones so that we can get approximate results. Approximate results are still good results in many cases. For example when you analyze the vibrations of the simple pendulum for small vibrations you don't need to include aerodynamic drag which is a nonlinear in its nature. By neglecting the nonlinear parts we can derive the second order differential equations which describes the motion of the system in this case gives linear vibration of simple pendulum. Another good example would be an examination of system which consists of block of mass m, spring with stiffness k and viscous damper with damping coefficient c and let's say that the block of mass m is in contact with the surface. Now the spring stiffness and the viscous damping are in reality nonlinear but for small vibration we assume they are linear. The bloc of mass m is in contact with the surface so that means that between the block and the surface is a friction. So if we analyze this system with nonlinear terms we would need to include the nonlinear stiffness, nonlinear damping coefficient and nonlinear friction. These would result in the time consuming calculation and in the end the results would little more precise than the approximation. In nonlinear analysis we attack the differential equation which describes the motion of nonlinear system with small parameter and with this we expand the solution. This method is called perturbation method. To solve nonlinear systems you need to use specific perturbation method and these methods are: Straightforward expansion, domain perturbation, multiple scale analysis etc. For more information check my site Linear Vibration.
Since the term nonlinear equation is used to describe equations that are graphed in the form of a curving line rather than a straight line, and such curves require exponents (i.e., x squared etc.) y = 0 would appear to be a linear equation. The term would be slightly misleading in this case, since it would not be graphed as a line, but just as a point, however, it has no exponent and produces no curved lines, so it's linear.
Relationship between radius and area of a circle is nonlinear. Area = pi * radius^2, so it is like a quadratic. If you graphed radius on the horizontal, and area on the vertical, it would be a parabola (actually a half of a parabola, since you cannot have a negative radius).
Two possibilities: The line is linear over some of its length and then goes non-linear (or the other way round: Think of a mass, at the end of a string, being swung in a circle. Then the string is cut. The motion of the mass would have been circular (lon-linear) until the instant the string was cut and then linear, as it flies off into a tangent. Or The line is linear from one perspective but not from another: Think of the trajectory of a ball that is thrown up at an angle to the horizon. If seen from above, the ball travels in a straight line (linear) but if seen from the side it follows a parabola (non-linear). Hope that helps.
There is no set equation for finding the nth term of a non- linear sequence. You have to go through a procedure to find the equation suitable for your given sequence. You would have to post the equation itself or re phrase your question for the answer.
I'm not exactly sure what the equation is supposed to be, but it looks like there are no variables, x or y, that have a power, squared, cubed, etc., so the equation would be linear. As soon as you put a power into the equation it becomes nonlinear.
An enlightenment thinker will emphasize the need to question. They believe an ideal must be tested rather than simply accepted.
That would depend on the cross sectional area of that linear meter of steel and as you have not told us that we can not answer you. To work out the answer for yourself you need to know the VOLUME of your steel and you multiply this by the density of your steel to give you a weight.
Ans:when two quantities depend on each other (like speed and distance), then when an amount increase in one quantity causes a corresponding amount increase or decrease in the other quantity that is the same regardless of the value at which the measurement was taken, then that's linear.Sounds a big horrible.OK, if you drew a graph of one quantity against another, it would form a straight line, and we say it increases or decreases (depending on whether the graph is increasing or decreasing) linearly. it means in creases with a power of 1, with a common ratio for increasing values of x.OK, what if it was y= ax^2? This is not linear, because it increases with a power of 2.A linear line takes the form y = mx +cwhere m is the ratio and c determines the point the graph cuts the x=0 line.