Friday
October 31, 2014

Homework Help: calculus(Lab)

Posted by Yoona on Wednesday, January 25, 2012 at 5:32pm.

Well, first graph the graph of f(x)=-1/10x^2 + 3
2. We are going to approximate the area between f and the x-axis from x = 0 to x = 4 using rectangles (the method of Riemann sums). This is not the entire area in the first quadrant, just most of it. Draw four inscribed rectangles of width 1 on the interval [0, 4] on you graph above.

3. What are the heights of each of the four rectangles? What is the total area of the rectangles? This area, although not the same as the area beneath the curve is an approximation for that area called the lower sum

4. The actual area between f and the x-axis on the interval [0, 4] is 28/3 . Why is one area greater?

5. How could you get a better approximation for the area beneath the curve if you still used inscribed rectangles?

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

calculus - The graph of f'(x) is shown for 0=< x =<10. The areas of the ...
Calculus - Please help? Let F(a) be the area between the x-axis and the graph ...
Calculus - Please help? Let F(a) be the area between the x-axis and the graph of...
Calculus - Let F(a) be the area between the x-axis and the graph of y=x^2cos(x/4...
Calculus - Let F(a) be the area between the x-axis and the graph of y=x^2cos(x/4...
Calculus - Let F(a) be the area between the x-axis and the graph of y=x^2cos(x/4...
calculus - Given the graph of f(x) find the graph of 2 f( -3x - 2) - 4 Is this ...
calculus reposted - Given the graph of f(x) find the graph of 2 f( -3x - 2) - 4 ...
Calculus - Use a graphing calculator to graph f(x)=x^4-6x^3+11x^2-6x. Then use ...
calculus - F(x)=e^(-3x/2) Let R be the region between the graph of f and the x-...

Search
Members