Skip to main content
Indietro

Estimating Area with Finite Sums definitions

I pulsanti di controllo sono stati cambiati in modalità "navigazione".
1/15

Termini in questo insieme (15)

  • Area Under a Curve
    Region between a function's graph and the x-axis, often estimated using geometric shapes when an exact formula is unavailable.
  • Rectangle Approximation
    Method of estimating a region's size by dividing it into rectangles and summing their areas, adjusting for accuracy with more rectangles.
  • Subinterval
    One of the equal divisions of an interval over which rectangles are constructed to estimate a region's area.
  • Left Endpoint
    Starting value of a subinterval used to determine the height of each rectangle in an area estimation.
  • Right Endpoint
    Ending value of a subinterval used to determine the height of each rectangle in an area estimation.
  • Midpoint
    Value exactly halfway between the endpoints of a subinterval, often yielding the most balanced area estimate.
  • Delta x
    Uniform width of each rectangle, calculated by dividing the total interval length by the number of rectangles.
  • Overestimation
    Situation where the sum of rectangle areas exceeds the true region, often due to rectangles extending above the curve.
  • Underestimation
    Situation where the sum of rectangle areas falls short of the true region, often due to rectangles missing parts under the curve.
  • Function Value
    Output of a function at a specific input, used as the height of a rectangle in area approximations.
  • Interval
    Continuous section on the x-axis over which the area under a curve is estimated.
  • Number of Rectangles
    Quantity of divisions used in the approximation, with higher counts generally improving accuracy.
  • Approximation
    Calculated value close to the actual area, obtained by summing the areas of constructed rectangles.
  • Width
    Horizontal measure of each rectangle, consistent across all rectangles in uniform partitioning.
  • Height
    Vertical measure of each rectangle, determined by the function's value at a chosen point within the subinterval.