A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Last Question of the day
The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Trapezoidal Approximation, using the 4 intervals between those given points.
x 4 9 11 14 15
f(x) –6 –11 –18 –21 –25
anonymous
 one year ago
Last Question of the day The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Trapezoidal Approximation, using the 4 intervals between those given points. x 4 9 11 14 15 f(x) –6 –11 –18 –21 –25

This Question is Open

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so i'v done this a couple of times but i keep getting the wrong answer.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0you have a bunch of trapezoids, that is all. Area of each trapezoid is: \(\large\displaystyle A=(\Delta x)(h_1+h_2)/2\) where \(\Delta x\) is the width and \(\large\displaystyle (h_1+h_2)/2\) is the average height \(\large\displaystyle Trapezoid_1=(94)(6+11)/2\) \(\large\displaystyle Trapezoid_2=(119)(18+11)/2\) \(\large\displaystyle Trapezoid_3=(1411)(21+18)/2\) \(\large\displaystyle Trapezoid_4=(1514)(25+21)/2\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0then add all trapezoids.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0Dont wonder the area is negative, that is because the entire thing is under the xaxis.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep im getting the same answer i was getting before , still wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0these are my answer choices –12.727 –11.546 –16.273 –13.909

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@SolomonZelman you still there ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0yes, i am here. I am just glitching outside the US a little.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0what did you get when you added the trapezoids?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0153, i did the same thing but by taking the left point and right point sum and averaging them

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0Yes, the area of the trapezoid is given by the product of its average height times the width, and the area of your full shape is the sum of all trapezoids... i dont understand why these options are here.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0i get 153 doing a completely valid method.... maybe your table has typos?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0perhaps we're finding the wrong thing . it says find the average value might mean the average slope not average area under the curve

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 any idea?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[\frac{1}{ba} \int\limits _a^b f(x) dx\]

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.1The average function value formula is:dw:1439414018001:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.2is average value of a function on interval [a,b]

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0oh the area, sorry....

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0the average is what they need...

freckles
 one year ago
Best ResponseYou've already chosen the best response.2so you made it this far: \[\frac{1}{154} \int\limits_4^{16} f(x) dx \\ \frac{1}{154}(153)\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2yes that 16 is suppose to be a 15

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay im getting 13.909 looks right thank you @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.2you should give @solomonzelman a medal he did the harder part of the problem
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.