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A word for a constant rate of change?
In mathematics, a constant rate of change is called a slope. For linear functions, the slope would describe the curve of the function. The world "constant" in this context means the slope and therefore angle of the curve will not change.
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.
Does a spiral staircase have a constant slope?
Previous answer: "No because the line is not straight and the points of the slop is in different ares." The above is ambiguous. You need to define the term slope. The slope of a helix (or any curve) is normally defined as the slope of a line that is tangent to the helix (curve). And then you need to define, slope with respect to what? Normally that would be slope with respect to a horizontal plane. That slope, by definition, is constant for a helix with a vertical axis. The value of the slope of such a helix is pitch / (2*pi*R), where R is the radius from the axis. Then you have to consider where on the staircase you are. A staircase is not a single helix. It has width, or different radii. If you are walking up stairs at a constant radius R from the axis (on a helix), then the slope is constant. In any case, the average slope of the stairs varies with the radius R on which you are walking, so that would not be a constant.
What does a constant slope mean?
It means that the rise divided by the run for a curve has the same value. If A and B are any two points on the curve, with coordinates (Xa, Ya) and (Xb, Yb), then (Yb - Ya)/(Xb - Xa) is a constant.
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.
A word for a constant rate of change?
In mathematics, a constant rate of change is called a slope. For linear functions, the slope would describe the curve of the function. The world "constant" in this context means the slope and therefore angle of the curve will not change.
What is difference between slope and the calculation of elasticity for a linear demand curve?
Along a linear demand curve elasticity varies from point to point of the demand curve with respect to different price, but slope is constant
What is the constant rate of change This is a grade 7 question...?
what is "constant rate of change"I second that.-alixa constant rate of change is the m in Y=MxB In mathematics, a constant rate of change is called a slope. For linear functions, the slope would describe the curve of the function. The world "constant" in this context means the slope and therefore angle of the curve will not change it can also be called a coefficent
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.
The derivative finds the of a curve?
The gradient of the tangents to the curve.
Does a spiral staircase have a constant slope?
Previous answer: "No because the line is not straight and the points of the slop is in different ares." The above is ambiguous. You need to define the term slope. The slope of a helix (or any curve) is normally defined as the slope of a line that is tangent to the helix (curve). And then you need to define, slope with respect to what? Normally that would be slope with respect to a horizontal plane. That slope, by definition, is constant for a helix with a vertical axis. The value of the slope of such a helix is pitch / (2*pi*R), where R is the radius from the axis. Then you have to consider where on the staircase you are. A staircase is not a single helix. It has width, or different radii. If you are walking up stairs at a constant radius R from the axis (on a helix), then the slope is constant. In any case, the average slope of the stairs varies with the radius R on which you are walking, so that would not be a constant.
What does a constant slope mean?
It means that the rise divided by the run for a curve has the same value. If A and B are any two points on the curve, with coordinates (Xa, Ya) and (Xb, Yb), then (Yb - Ya)/(Xb - Xa) is a constant.
What determines the slope of IS Curve?
mainly the slope of Is curve depends on ; -the slope of investment schedule -the size of the multiplier
Is the price elasticity constant along the demand curve?
Price elasticity of demand is equal to the instantaneous slope of the demand curve, or the slope of the tangent line at any point on the demand curve. So if the demand curve is represented by a straight downward sloping line, then yes, price elasticity of demand is equal to the slope of the demand curve. Otherwise, the slope at any point on the curve is changing, and you can find the it by taking the derivative of the demand curve function, which will find the Price elasticity of demand at any single point. Thus, the Price Elasticity of Demand changes at different points on the demand curve.
What does the slope of the tangent to the curve on a velocity-time graph measure?
The slope of the tangent to the curve on a velocity-time graph represents the acceleration of an object. Positive slope indicates acceleration in the positive direction, negative slope indicates acceleration in the negative direction, and zero slope indicates constant velocity.
How do you find the slope of a graph if it is a curve?
You find the slope of the tangent to the curve at the point of interest.
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
