A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
1. Let g be the function given by g(x)=integrate from 4 to x f(t)dt. For each of g(1), g'(1), and g''(1), find the value of state that it does not exist.
2. For the function g defined in part 1., find the xcoordinate of each point of inflection of the graph of g on the open interval 4<x<3. Explain your reasoning.
3. Let h be the function given by h(x)= integrate from x to 3 f(t)dt. Find all values of x in the closed interval 4≤x≤3 for which h(x)=0.
4. For the function h defined in part 3, find all intervals on which h is decreasing. Explain your reasoning.
 one year ago
1. Let g be the function given by g(x)=integrate from 4 to x f(t)dt. For each of g(1), g'(1), and g''(1), find the value of state that it does not exist. 2. For the function g defined in part 1., find the xcoordinate of each point of inflection of the graph of g on the open interval 4<x<3. Explain your reasoning. 3. Let h be the function given by h(x)= integrate from x to 3 f(t)dt. Find all values of x in the closed interval 4≤x≤3 for which h(x)=0. 4. For the function h defined in part 3, find all intervals on which h is decreasing. Explain your reasoning.

This Question is Closed

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1step 1) from graph, f(x) is a piecewise linear function. and hence, g(x) is piecewise quadratic step 2) g(x) is quadratic and continuous derivative exists step 3) g'(x) will be piecewise linear and continuous step 4) g''(x) will be constant terms in each interval and discontinuous at the change of domains. hence, g''(1) cannot exist.

goformit100
 one year ago
Best ResponseYou've already chosen the best response.0As its a critical graph the reading are very difficult to be talkne out.
Ask your own question
Ask a QuestionFind 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.