Question

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

Math   Calculus   
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
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) = 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 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...
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?
Approximate the area under the curve over the specified interval by using the indicated number of...
Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) and evaluating the function at the right-hand endpoints of the subintervals. f(x) = 25 − x2 from x = 1 to x = 3; 4 subintervals
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.
Approximate the area under the curve y= x2-2x+4 between x=1 and x=4 by using 6 inscribed...
Approximate the area under the curve y= x2-2x+4 between x=1 and x=4 by using 6 inscribed rectangles.
Approximate the area under the curve y = 12x−4x2 between x = 0 and x =...
Approximate the area under the curve y = 12x−4x2 between x = 0 and x = 2 using four rectangles of the same width and the right-hand endpoint method.
Use the rectangles to approximate the area of the region. (Round your answer to three decimal...
Use the rectangles to approximate the area of the region. (Round your answer to three decimal places.) The x y-coordinate plane is given. There is 1 curve, a shaded region, and 4 rectangles on the graph. The curve enters the window in the first quadrant, goes down and right becoming less steep, passes through the point (1, 5), passes through the point (5, 1), and exits the window almost horizontally above the x-axis. The region below the curve, above the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT