A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
PSET 3  Applications of Differentiation exercises: What do the numbers in parentheses refer to?
anonymous
 3 years ago
PSET 3  Applications of Differentiation exercises: What do the numbers in parentheses refer to?

This Question is Open

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0This problem set appears to have been used in another course in which the students had a text or handout that listed equations or formulas designated by numbers in parentheses. For at least some of them we can figure out what they're referring to. Recall from the lectures that we can do approximations two different ways. One is by using the general formula, which for linear approximation is \[f(x)\approx f(x_{0})+f'(x_0)(xx_0)\]The other method is to use shortcut formulas for x near 0, such as\[(1+x)^r \approx 1+rx\]In exercise 2A3 you're asked to find the linearization of a formula by using basic approximation formulas, like the second one above, or by using (2), which must be the general formula given first above. Exercise 2A1 also refers to (2), and tells us not to confuse the variable a appearing in the exercise with the variable a in (2), which has the value 0. From this we can deduce that formula (2) used in connection with these exercises had was like the first one above but with the variable a in place of x sub 0. Because exercise 2A1 asks for linearization at 0, the value of x sub 0 would be 0 for purposes of that exercise.
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.