Question

unctions, each over the interval x = 0 to x = 6: f(x) = x2 +...

unctions, each over the interval x = 0 to x = 6:

  1. f(x) = x2 + 1
  2. f(x) = 12 − 2x
  3. f(x) = 36 − x2
  4. f(x) = 2x + 1

Methods:

R: Right Riemann sum

Number of Rectangles: 1,

Create a report on the application you selected. Include the problem statement (function, interval, method, number of rectangles), mathematical and verbal work of finding the approximate area under the curve, a graph of the function/rectangles created at the Desmos site (Links to an external site.)Links to an external site. (https://www.desmos.com/calculator/tgyr2ezjq), mathematical work to find the exact answer, and concluding remarks. Concluding remarks should include whether your estimate is a lower bound or upper bound on the exact area and why and any other interesting features for the particular problem you selected.

To get an image of your graph at the Desmos site, you must first save it as an image file to your own computer. You can then include the image in your post or Word file. Note the drop down menu and the image feature available at Desmos. Your write-up should include proper mathematical notation (use an equation editor) and justification for all work and answers, both mathematical and verbal.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

IF YOU HAVE ANY DOUBTS COMMENT BELOW I WILL BE TTHERE TO HELP YOU..ALL THE BEST..

ANSWER:

I HOPE YOU UNDERSTAND..

PLS RATE THUMBS UP..ITS HELPS ME ALOT..

THANK YOU...!!

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let f(x) = e^x. Evaluate a right Riemann sum for the interval [−1, 1] for n...
Let f(x) = e^x. Evaluate a right Riemann sum for the interval [−1, 1] for n = 4. You should include a picture of the corresponding rectangles and state if this is an under or over approximation of the area beneath the graph of f, above the x-axis and between x = −1 and x = 1. In your solution, you should write out all terms that go into the Riemann sum.
1. Evaluate the Riemann sum for f(x) = 2x − 1, −6 ≤ x ≤ 4,...
1. Evaluate the Riemann sum for f(x) = 2x − 1, −6 ≤ x ≤ 4, with five subintervals, taking the sample points to be right endpoints. 2. sketch a graph 3. Explain. The Riemann sum represents the net area of the rectangles with respect to the .....
Let f(x) = x2, and compute the Riemann sum of f over the interval [5, 7],...
Let f(x) = x2, and compute the Riemann sum of f over the interval [5, 7], choosing the representative points to be the left endpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.) (a) two subintervals of equal length (n = 2) (b) five subintervals of equal length (n = 5) (c) ten subintervals of equal length (n = 10) (d) Can you guess at the area of the region...
6.3 2. Let f(x) = x2, and compute the Riemann sum of f over the interval...
6.3 2. Let f(x) = x2, and compute the Riemann sum of f over the interval [8, 10], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.) a. two subintervals of equal length (n = 2) ___________ b. five subintervals of equal length (n = 5) __________ c. ten subintervals of equal length (n = 10) _________ d. Can you guess at the...
(a) Approximate the area of the region beneath the graph of f(x) = e−x2, from x...
(a) Approximate the area of the region beneath the graph of f(x) = e−x2, from x = −1 to x = 1 using (i) four left rectangles, (ii) four right rectangles, and (iii) four midpoint rectangles (answer with 3 decimal points). (b) The actual area, to nine decimal places, of the region beneath the graph of f(x) = e−x2 is 1.493648266. Which of the approximations found in part (a) is the most accurate?
Use finite approximations to estimate the area under the graph of the function ​f(x) = 24−x2+2x...
Use finite approximations to estimate the area under the graph of the function ​f(x) = 24−x2+2x between x = −4 and x = 6 for each of the following cases. a. Using a lower sum with two rectangles of equal width b. Using a lower sum with four rectangles of equal width c. Using an upper sum with two rectangles of equal width d. Using an upper sum with four rectangles of equal width
Use finite approximations to estimate the area under the graph of the function ​f(x) =8−x2+2x between...
Use finite approximations to estimate the area under the graph of the function ​f(x) =8−x2+2x between x = −2 and x = 4 for each of the following cases. a. Using a lower sum with two rectangles of equal width b. Using a lower sum with four rectangles of equal width c. Using an upper sum with two rectangles of equal width d. Using an upper sum with four rectangles of equal width
Let f(x)=10-2x a.) Sketch the region R under the graph of f on the interval [0,5],...
Let f(x)=10-2x a.) Sketch the region R under the graph of f on the interval [0,5], and find its exact area using geometry. b.) Use a Riemann sum with five subintervals of equal length (n=5) to approximate the area of R. Choose the representative points to be the left endpoints of the subintervals. c.) Repeat part (b) with ten subintervals of equal length (n=10). d.) Compare the approximations obtained in parts (b) and (c) with the exact area found in...
Estimate the area of the region bounded between the curve f(x) = 1 x+1 and the...
Estimate the area of the region bounded between the curve f(x) = 1 x+1 and the horizontal axis over the interval [1, 5] using a right Riemann sum. Use n = 4 rectangles first, then repeat using n = 8 rectangles. The exact area under the curve over [1, 5] is ln(3) ≈ 1.0986. Which of your estimates is closer to the true value?
Estimate the area under the graph of f(x)=x2+3x from x=1 to x=4 using 33 approximating rectangles...
Estimate the area under the graph of f(x)=x2+3x from x=1 to x=4 using 33 approximating rectangles and left endpoints. Approximation =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT