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How do linear and exponential functions change over equal intervals?
The linear function changes by an amount which is directly proportional to the size of the interval. The exponential changes by an amount which is proportional to the area underneath the curve. In the latter case, the change is approximately equal to the size of the interval multiplied by the average value of the function over the interval.
What describes annual percentage rate?
An annual percentage rate is the average percentage change over a period of a year. The percentage change is the change divided by the initial value, expressed as a percentage.
How do you work out frequency density?
basically this is an exampleAGE (YEARS) FREQUENCY FREQUENCY DENSITYFD= Frequency DensityAge : 0
Downhill skiers race over a course that is 3500 m long in 2 minutes 10 seconds What is their approximate average speed for this course?
The average speed is the distance divided by the time.3500 meters / 130 seconds = approximately 26.9 m/secConverting to kilometers/hour equals 96.9 km/hr (or about 60.2 mph)
The change in y's over the change in x's?
the change in y over the change in x equals the slope(m) in the equation y=mx+b
How do you find the average rate of change over an interval?
To find the average rate of change over an interval, you can calculate the difference in the function values at the endpoints of the interval, and then divide by the difference in the input values. This gives you the slope of the secant line connecting the two points, which represents the average rate of change over that interval.
What is the average rate of change for the function over the interval from x -2 to x 2?
To find the average rate of change of a function ( f(x) ) over the interval from ( x = -2 ) to ( x = 2 ), you can use the formula: [ \text{Average Rate of Change} = \frac{f(2) - f(-2)}{2 - (-2)} ] This calculates the change in the function's values divided by the change in ( x ) over the specified interval. You would need the specific function ( f(x) ) to compute the exact average rate of change.
Can the average rate of change of a function be constant?
Yes, the average rate of change of a function can be constant over an interval. This occurs when the function is linear, meaning it has a constant slope throughout the interval. For non-linear functions, the average rate of change can vary depending on the specific points chosen within the interval. Thus, while a constant average rate of change indicates a linear relationship, non-linear functions exhibit variability in their average rates.
What is the average rate of change in f(x) over the interval 413?
To find the average rate of change of a function ( f(x) ) over the interval ([a, b]), you use the formula (\frac{f(b) - f(a)}{b - a}). In your case, since the interval is given as "413," I'm assuming you meant the interval ([4, 13]). You would need the values of ( f(4) ) and ( f(13) ) to calculate this average rate of change. Once you have those values, simply plug them into the formula to find the result.
How do linear and exponential functions change over equal intervals?
The linear function changes by an amount which is directly proportional to the size of the interval. The exponential changes by an amount which is proportional to the area underneath the curve. In the latter case, the change is approximately equal to the size of the interval multiplied by the average value of the function over the interval.
Economics what is the arc elastic?
measure of the average responsiveness of quantity to price over an interval of the demand curve. = change in quantity/ Quantity ___________________________ change in price/ Price
How to find the average velocity over a time interval?
To find the average velocity over a time interval, you can divide the total displacement by the total time taken. This gives you the average speed at which an object has moved over that time period.
What acceleration is the rate at which what changes over time?
Acceleration is the rate of change of velocity - in symbols, a = dv/dt. Or for average acceleration over a finite time: a(average) = delta v / delta twhere delta v is the change in velocity, and delta t is the time interval.
Based on your answer to Part B what is the average rate of formation of HCL?
To find the average rate of formation of HCl, divide the change in concentration of HCl by the time interval over which the change occurs. This will give you the average rate at which HCl is being formed.
What is the displacement on an object to the time interval?
Displacement is the change in position from the initial point to the final point of an object. The time interval represents the duration over which this change occurs. So, the displacement over a time interval gives the overall change in position of the object during that period.
What is the relationship between distance and time interval?
V = d / tVelocity is the change in distance over an interval of time.
Average acceleration is the slope of a velocity vs time graph?
That's correct! The average acceleration of an object over a certain time interval is given by the slope of the line connecting the initial and final velocity points on a velocity vs. time graph during that interval. It is calculated by dividing the change in velocity by the time interval.
