Approximate area under curve calculator
Activity overview:
In the following problems, you will examine three common techniques that use rectangles to find the approximate area under a curve. Perhaps you discovered some of these techniques during your exploration in Problem 1. The first problem uses rectangles whose right-endpoints lie on the curve y = x2. Problem 2 – Using five right-endpoint rectangles
[DOC File]AP CALCULUS (BC)
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Area: Approximate area = _____. ***** Homework: Page 270 # 5, 6, 7, 10, 12. Once you have “mastered” this technique for approximating “area under a curve” and hence, “distance traveled”, you will want to take advantage of your graphing calculator’s ability to perform some of the less intellectually demanding tasks.
[DOC File]Topic 15:
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To find areas under any normal distribution, you can either use your calculator or tables. We will use Z to denote the standard normal distribution and will consider 3 cases: P(a < Z < b) is the area under the standard normal curve between a and b. P(Z < a) is the area under the standard normal curve left of a.
[DOC File]SPIRIT 2
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After creating the scale model of the area under the curve, students will decide which three methods to use in order to approximate the area under a curve. These methods can include, but are not limited to, breaking the area into Geometric shapes, using Riemann Sums (left, right and midpoint), using the Trapezoidal Rule and using Simpson’s Rule.
[DOC File]ALGEBRA 2 WKST - Sault Ste. Marie Area Public Schools ...
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Approximate the area under the curve using five rectangles of equal width and heights determined by the midpoints of the intervals. For the following questions refer to the region R enclosed between the graph of the function and the x-axis for .
[DOC File]AP Calculus AB
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The area and distance problems serve as the launching point for introducing the idea of the definite integral. Emphasis is placed on finding the limit of the sum of rectangles of equal width to determine an approximate area under a curve.
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