Question

Use the Left and Right Riemann Sums with 100 rectangles to estimate the (signed) area under...

Use the Left and Right Riemann Sums with 100 rectangles to estimate the (signed) area under the curve of y=−2x+2 on the interval [0,50]. Write your answer using the sigma notation.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given curve is y=-2x+2 on the interval [0,50]

Number of rectangles is 100, that is interval [0,50] is divided into 100 subintervals and length of each sub-interval is

Thus , the sub-intervals are

Thus area under given curve using left Riemann sums is

Area under given curve using Right  Riemann sums is

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
Use the Left and Right Riemann Sums with 100 rectangles to estimate the (signed) area under...
Use the Left and Right Riemann Sums with 100 rectangles to estimate the (signed) area under the curve of y=−10x+4y on the interval [0,50]. Write your answer using the sigma notation. Please show work, I'm very confused.
Use upper and lower sums (left and right Riemann sums) to approximate the area of the...
Use upper and lower sums (left and right Riemann sums) to approximate the area of the region below y =sqrt(8x) using 4 subintervals of each width. Round to three decimal places.
Use a graphing calculator Riemann Sum (found here) to find the following Riemann sums. f(x) =...
Use a graphing calculator Riemann Sum (found here) to find the following Riemann sums. f(x) = 2/x   from  a = 1  to  b = 5 (a) Calculate the Riemann sum for the function for the following values of n: 10, 100, and 1000. Use left, right, and midpoint rectangles, making a table of the answers, rounded to three decimal places. n Left Midpoint Right 10 100 1000 (b) Find the exact value of the area under the curve by evaluating an appropriate definite...
2. Using the limit definition of the integral (Riemann Sums), Find the area under the curve...
2. Using the limit definition of the integral (Riemann Sums), Find the area under the curve from [1, 11] y = 2x 2 + 4x + 6 Recall that Pn i=1 i = n(n+1) 2 and Pn i=1 i 2 = n(n+1)(2n+1) 6
Estimate the area under the curve described by f(x)=x2+1 between [1, 3] using 8 rectangles. You...
Estimate the area under the curve described by f(x)=x2+1 between [1, 3] using 8 rectangles. You may define the height of your rectangles using the left- or right-edge.
f(x) = square root x   from  a = 4  to  b = 9 (a) Calculate the Riemann sum for...
f(x) = square root x   from  a = 4  to  b = 9 (a) Calculate the Riemann sum for the function for the following values of n: 10, 100, and 1000. Use left, right, and midpoint rectangles, making a table of the answers, rounded to three decimal places. n Left Midpoint Right 10 100 1000 (b) Find the exact value of the area under the curve by evaluating an appropriate definite integral using the Fundamental Theorem. The values of the Riemann sums from...
Use rectangles to estimate the area below the graph of y = f(x) and over the...
Use rectangles to estimate the area below the graph of y = f(x) and over the x-axis on the interval [0,6] Find left and right endpoints.
For the function f(x) = x, estimate the area of the region between the graph and...
For the function f(x) = x, estimate the area of the region between the graph and the horizontal axis over the interval 0≤x≤4 using a . a. Riemann Left Sum with eight left rectangles. b. Riemann Right Sum with eight right rectangles. c. A good estimate of the area.
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)=1/(x+2) over the interval [0,3]using eight approximating rectangles and...
Estimate the area under the graph of f(x)=1/(x+2) over the interval [0,3]using eight approximating rectangles and right endpoints. Rn= Repeat the approximation using left endpoints. Ln=
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT