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What does the area under a force-extension graph represent?
The area under a graph of force against distance (or extension, if it's a spring) represents the work done by that force. Since it sounds like you're talking about a spring, you should know that the area would represent the work done to stretch the spring that distance, and also represents the amount of elastic potential energy contained by the spring.
How do you graph y equals 5x-4?
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What does an exponential graph and logistic graph of growth look like?
Yuo cannot include a graphical illustration here. Take a look at the Wikipedia, under "exponential function" and "logistic function". Basically, the exponential function increases faster and faster over time. The logistics function initially increases similarly to an exponential function, but then eventually flattens out, tending toward a horizontal asymptote.
How do you find the discriminant on a graph?
The discriminant is the expression under the square root of the quadratic formula.For a quadratic equation: f(x) = ax2 + bx + c = 0, can be solved by the quadratic formula:x = (-b +- sqrt(b2 - 4ac)) / (2a).So if you graph y = f(x) = ax2 + bx + c, then the values of x that solve [ f(x)=0 ] will yield y = 0. The discriminant (b2 - 4ac) will tell you something about the graph.(b2 - 4ac) > 0 : The square root will be a real number and the root of the equation will be two distinct real numbers, so the graph will cross the x-axis at two different points.(b2 - 4ac) = 0 : The square root will be zero and the roots of the equation will be a real number double root, so the graph will touch the x-axis at only one points.(b2 - 4ac) < 0 : The square root will be imaginary, and the roots of the equation will be two complex numbers, so the graph will not touch the x-axis.So by looking at the graph, you can tell if the discriminant is positive, negative, or zero.
How do you find the area under a curved graph without using the limiting chord process?
The integral function of calculus is the method for determining the area under a curve. The limiting chord process is the "simple" math understanding required to learn the "complex" function of "integration". BTW: the derivative function is a "cousin" of the integral function which is used to determine the slope of curve at a given point.
What is the method for finding the position of an object from a velocity-time graph?
To find the position of an object from a velocity-time graph, you need to calculate the area under the curve of the graph. This area represents the displacement of the object.
How can one determine an object's position from a velocity graph?
To determine an object's position from a velocity graph, you can find the area under the velocity curve. The area represents the displacement or change in position of the object. The position at any given time can be calculated by adding up the areas under the curve up to that time.
What is the area of a position time graph?
The area under a position-time graph represents the displacement of an object. It is calculated by finding the area between the curve of the graph and the time axis. The units of the area will be in distance units (e.g., meters, kilometers).
How can one determine the position of an object from a velocity graph?
To determine the position of an object from a velocity graph, you can find the area under the velocity curve. The area represents the displacement of the object. The position can be calculated by integrating the velocity function over a specific time interval.
What is the method for finding the position of an object from a velocity vs. time graph?
To find the position of an object from a velocity vs. time graph, you need to calculate the area under the velocity vs. time curve. This area represents the displacement of the object.
How can one determine the distance traveled from a position-time graph?
To determine the distance traveled from a position-time graph, calculate the area under the curve. This can be done by finding the area of each individual section and adding them together. The total area represents the total distance traveled.
What does the slope of the graph represent and how does it varies in relation to the load position?
The slope of the graph represents the shear force at a particular point on a beam. As the load position changes along the beam, the magnitude of the shear force and therefore the slope of the graph varies accordingly. The slope will be steeper where the shear force is greater, such as under concentrated loads or at support points.
How to find the area under a graph?
To find the area under a graph, you can use calculus by integrating the function that represents the graph. This involves finding the definite integral of the function over the desired interval. The result of the integration will give you the area under the graph.
How can one determine displacement from a position-time graph?
To determine displacement from a position-time graph, you can find the area under the curve. The displacement is the change in position from the starting point to the ending point on the graph. This can be calculated by finding the difference between the final position and the initial position.
How do you interpret motion graphs?
Motion graphs, such as position-time or velocity-time graphs, can provide information about an object's motion. A horizontal line on a position-time graph indicates constant velocity, while a steeper slope indicates higher velocity. On a velocity-time graph, the slope represents acceleration (positive for speeding up, negative for slowing down). The area under a velocity-time graph represents displacement.
The area under a velocity-time graph represents?
The distance travelled over the time period represented by the area under the v-t graph between the end points.
How to convert a velocity time graph into a position time graph?
The position at time t (and therefore the height of the p-t graph) will be the area under the v-t curve between time 0 and t.
