**What is the area of the largest rectangle that Socratic**

Find the area A of the largest rectangle that can be inscribed under the curve of the equation below in the first and second quadrants. $$y = e^{-x^2}$$ Graph of the... limit process is applied to the area of a rectangle to find the area of a general region. A basic overview of “areas as limits.” In the “limit of rectangles” approach, we take the area under a curve y = f (x) above the interval [a , b] by approximating a collection of inscribed or circumscribed rectangles is such a way that the more rectangles used, the better the approximation

**Graphically approximating the area under a curve as a sum**

You can approximate the area under a curve by adding up “right” rectangles. This method works just like the left sum method except that each rectangle is drawn so that its right upper corner touches the curve instead of its left upper corner.... It's just Fd cosine theta, but you can also find the work done by determining the area underneath a force versus position graph and this is useful because this works even when the force is varying which would render this equation somewhat unusable but if the shape of the graph is one that you know how to find the area of, you can still find the work done by determining the area underneath the

**Area under a Curve Excel 2007 VBA Methods - Engram 9**

The area under that portion of the curve, a trapezoid, is shaded. The middle portion of the figure shows how Prism computes the area. The two triangles in the middle panel have the same area, so the area of the trapezoid on the left is the same as the area of the rectangle on the right (whose area is easier to calculate). The area, therefore, is how to get good quality photos on instagram To compute the area under a curve we will use rectangles, and we make approximations by using rectangles inscribed in the curve and circumscribed on the curve. The total area of the inscribed rectangles is the lower sum, and the total area of the circumscribed rectangles is the upper sum. By taking more rectangles, we will get a better approximation. in upper sums, the rectangles height is

**How do you find the area under the curve y=4x^2 with 6**

The area under this graph is rectangular in shape. The shaded area = 2 × 70 = 140 This is the distance in miles travelled in 2 hours when the speed is 70mph. Constant acceleration Now consider the case when a car is accelerating steadily from 0 to 45 mph in 10 seconds. The graph shows this situation, but note that the velocity is in miles per hour whilst the time is in seconds. The units need how to find distance between 2 points If we calculate the area of each rectangle and add the results together, we will have another estimate for the area of the region under the graph. To find the width of each strip, we divide the total width of the interval by the number of strips - in this case four .

## How long can it take?

### Approximating Area Using Rectangles Problem 3

- What is the area of the largest rectangle that can be
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## How To Find The Area Under A Rectangle Graph

For Monte Carlo, simply define a rectangle that encompasses your function between the specified limits. Then generate uniform random pairs of numbers and scale them to fit as a point inside that rectangle.

- To compute the area under a curve we will use rectangles, and we make approximations by using rectangles inscribed in the curve and circumscribed on the curve. The total area of the inscribed rectangles is the lower sum, and the total area of the circumscribed rectangles is the upper sum. By taking more rectangles, we will get a better approximation. in upper sums, the rectangles height is
- 10/04/2009 · Consider rectangles located as shown in the first quadrant and inscribed under a decreasing curve, with the lower left hand corner at the origin and the upper right hand corner on the curve y = 8 - 2x^3 Find the width, height and area of the largest such rectangle.
- 7/04/2010 · Best Answer: a) The graph of y = e^(-x²) is symmetrical about the y-axis because y is an even function. Hence if one vertex of the rectangle on the x-axis is at (x, 0), the other is at (-x, 0).
- The area under this graph is rectangular in shape. The shaded area = 2 × 70 = 140 This is the distance in miles travelled in 2 hours when the speed is 70mph. Constant acceleration Now consider the case when a car is accelerating steadily from 0 to 45 mph in 10 seconds. The graph shows this situation, but note that the velocity is in miles per hour whilst the time is in seconds. The units need