Question

Approximate the area under f(x) = (x – 2, above the x-axis, on [2,4] with n...

  1. Approximate the area under f(x) = (x – 2, above the x-axis, on [2,4] with n = 4 rectangles using the (a) left endpoint, (b) right endpoint and (c) trapezoidal rule (i.e. the “average” shortcut). Be sure to include endpoint values and write summation notation for (a) and (b). Also, on (c), state whether the answer over- or underestimates the exact area and why.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using...
1. Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the following methods with n = 4. ​f(x) = −x2 + 5 from x = −2 to x = 2 ​(a) Use left endpoints.   ​(b) Use right endpoints.   ​(c) Average the answers in parts​ (a) and​ (b) ​(d) Use midpoints. 2. Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the following methods with n = 4. f(x)...
Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the...
Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the following methods with n=4. f(x)=e^x+1 fromx=-2 to x=2 ​(a) Use left endpoints.   ​(b) Use the right endpoints.   ​(c) Average the answers in parts​ (a) and​ (b) ​(d) Use midpoints. The​ area, approximated using the left​ endpoints, is The​ area, approximated using the right​ endpoints, is The average of the answers in parts​ (a) and​ (b) is The​ area, approximated using the​ midpoints, is
Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the...
Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n=4. f(x)=6x+4 from x=3 to x=5 a) use left endpoints b)use right endpoints c) average the answers in parts a and b d) use midpoints
approximate the area under the graph of f(x) and above the x-axis with rectangles, using the...
approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n=4. f(x)=4x+5 from x=4 to x=6 A) use left endpoints B) use right endpoints C) average the answers in parts a and b D) use midpoints
Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the...
Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the following methods with n = 4. ​f(x) = 4x + 3 from x = 4 to x = 6 a. Use left endpoints.   b. Use right endpoints.    c. Average the answers in parts a and b. d. Use midpoints.
Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the...
Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the following methods with n=4 f(x)=e^x+5 from x=-2 to x=2 ​(a) Use left endpoints.   ​(b) Use right endpoints.   ​(c) Average the answers in parts​ (a) and​ (b) ​(d) Use midpoints.
Use the midpoint rule with 4 rectangles to approximate the area under f(x)=x2 over [2,4]. Give...
Use the midpoint rule with 4 rectangles to approximate the area under f(x)=x2 over [2,4]. Give your answer as a fully simplified fraction.
Use the midpoint rule with 4 rectangles to approximate the area of the region bounded above...
Use the midpoint rule with 4 rectangles to approximate the area of the region bounded above by y=sin⁡x, below by the ?x-axis, on the left by x=0, and on the right by ?=?
The rectangles in the graph below illustrate a left endpoint approximation for the area under ?(?)=?^2/12...
The rectangles in the graph below illustrate a left endpoint approximation for the area under ?(?)=?^2/12 on the interval [4,8]. The value of this left endpoint approximation is  , and this approximation is an   ?    overestimate of    equal to    underestimate of    there is ambiguity    the area of the region enclosed by ?=?(?), the x-axis, and the vertical lines x = 4 and x = 8. Left endpoint approximation for area under ?=?212y=x212 on [4,8][4,8] The rectangles in the graph below illustrate a right endpoint approximation for...
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.