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Answered 2012-06-10 09:18:58

You find the slope of the tangent to the curve at the point of interest.

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How do you find maximum speed in a time position graph?

You find the point(s) at which the slope of the curve is greatest.


How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?

The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.


What shows the speed on a distance-time graph?

The slope of the graph line or curve.


What makes a graph curve?

A gradual change in the gradient (slope).


How do you find the slope of an Indifference curve?

You find the tangent to the curve at the point of interest and then find the slope of the tangent.


What does the slope of the curve on a distance v time graph represent?

The slope of the curve at each point on thegraph is the speed at that point in time. (Not velocity.)


What does the slope of the curve on a distance vs time graph show?

Velocity


What shows the speed on a distance -time graph?

The slope of the curve.


How is speed shown on a distanced-time graph?

By the slope of the curve.


How can you find the instantaneous acceleration of an object whose curve on the velocity time graph is a straight line?

It is the gradient (slope) of the line.


What does the slope of a tangent to the curve of a velocity-time graph measure?

the slope of a tangent to the curve of a V vs T graph is acceleration at that point in time. the derivative of the function for the V vs T graph would be the function for acceleration at any given time


What does the slope of the curve on a distance-versus-time graph represent?

speed


What property on a position-versus time graph represents speed?

The slope of the curve.


The derivative finds the of a curve?

The gradient of the tangents to the curve.


How can you get speed of an object from its distance-time graph?

The speed is the slope of the curve in such a graph.


What does the slope of a curve represent on a velocity-versus-time graph represent?

The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)


How can a graph be used to find acceleration?

Find the slope of a graph of velocity vs. time.


How do you find instantaneous velocity from position - time graph?

You can't, since the slope of the graph means average velocity and the area of the graph has no meaning. The only way to find instantaneous velocity from position-time gragh is by plugging the data into the kinematic equations to get the answer. Edit: Actually you can if you take the derivative of the equation of the curve it will give you the equation of the velocity curve


How the slope of a curved line at a point can be found?

The slope of a curved line at a point is the slope of the tangent to the curve at that point. If you know the equation of the curve and the curve is well behaved, you can find the derivative of the equation of the curve. The value of the derivative, at the point in question, is the slope of the curved line at that point.


What is the slope of a curve?

Slope of a Curve A number which is used to indicate the steepness of a curve at a particular point.The slope of a curve at a point is defined to be the slope of the tangent line. Thus the slope of a curve at a point is found using the derivative


How do you find the slope of the tangent line to each curve at the given point?

By differentiating the answer and plugging in the x value along the curve, you are finding the exact slope of the curve at that point. In effect, this would be the slope of the tangent line, as a tangent line only intersects another at one point. To find the equation of a tangent line to a curve, use the point slope form (y-y1)=m(x-x1), m being the slope. Use the differential to find the slope and use the point on the curve to plug in for (x1, y1).


WHat does the slope of the curve on a velocity-versus-time graph represent?

The rate of Change in acceleration.


What does the slope of they curve on a velocity-versus-time graph represent?

The rate of change in accelleration.


Suppose you are given a position versus time graph The slope of a line drawn tangent to a point on the curve of this graph describes what quantity?

Instantaneous speed.


Find the slope of a tangent line to the graph?

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.


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