Question

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 part (a) should approach this number. (Round your answer to three decimal places.)
square units

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

Homework Answers

Answer #1

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 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...
f(x) = 2x  from  a = 4  to  b = 5 (a) Approximate the area under the curve from a...
f(x) = 2x  from  a = 4  to  b = 5 (a) Approximate the area under the curve from a to b by calculating a Riemann sum using 5 rectangles. Use the method described in Example 1 on page 351, rounding to three decimal places.   square units (b) Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem.    square units
For the function, do the following. f(x) = 1 x   from  a = 1  to  b = 2. (a)...
For the function, do the following. f(x) = 1 x   from  a = 1  to  b = 2. (a) Approximate the area under the curve from a to b by calculating a Riemann sum using 10 rectangles. Use the method described in Example 1 on page 351, rounding to three decimal places. square units (b) Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem.   square units
f(x) = 1/x   from  a = 1  to  b = 3. (a) Approximate the area under the curve from...
f(x) = 1/x   from  a = 1  to  b = 3. (a) Approximate the area under the curve from a to b by calculating a Riemann sum using 10 rectangles. Use the method described in Example 1 on page 351,rounding to three decimal places. _____________square units (b) Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem. _____________square units
(a) Find the Riemann sum for f(x) = 3 sin(x), 0 ≤ x ≤ 3π/2, with...
(a) Find the Riemann sum for f(x) = 3 sin(x), 0 ≤ x ≤ 3π/2, with six terms, taking the sample points to be right endpoints. (Round your answers to six decimal places.) R6 = (b) Repeat part (a) with midpoints as the sample points. M6 = Express the limit as a definite integral on the given interval. lim n → ∞ n 7xi* + (xi*)2 Δx, [3, 8] i = 1 8 dx 3
Instructions: Approximate the following definite integrals using the indicated Riemann sums. 1. Z 9 1 x...
Instructions: Approximate the following definite integrals using the indicated Riemann sums. 1. Z 9 1 x 1 + x dx using a left-hand Riemann sum L4 with n = 4 subintervals. 2. Z 3 0 x 2 dx using a midpont Riemann sum M3 using n = 3 subintervals. 3. Z 3 1 f(x) dx using a right-hand Riemann Sum R4, with n = 4 subintervals
Let R be the region bounded above by f(x) = 3 times the (sqr root of...
Let R be the region bounded above by f(x) = 3 times the (sqr root of x) and the x-axis between x = 4 and x = 16. Approximate the area of R using a midpoint Riemann sum with n = 6 subintervals. Sketch a graph of R and illustrate how you are approximating it’ area with rectangles. Round your answer to three decimal places.
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) = 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.
Calculate the left Riemann sum for the given function over the given interval, using the given...
Calculate the left Riemann sum for the given function over the given interval, using the given value of n. (When rounding, round your answer to four decimal places. If using the tabular method, values of the function in the table should be accurate to at least five decimal places.) f(x) = 14 − 42x over [−1, 1], n = 4
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT