A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
I am having difficulty finding the correct solution to problem 1E4 part a). The approach should be very similar to that of 1D7, looking at the answer I do not understand the approach they use and why they use it.
 one year ago
I am having difficulty finding the correct solution to problem 1E4 part a). The approach should be very similar to that of 1D7, looking at the answer I do not understand the approach they use and why they use it.

This Question is Open

creeksider
 one year ago
Best ResponseYou've already chosen the best response.0We need to find values of a and b such that (1) the two expressions have the same value at x=0, and (2) the two expressions have the same derivative at x=0. The first part is so easy that it may be hard to recognize as a solution: when evaluated at x=0, everything drops out of both expressions except the constant 4. Therefore these expressions will always join up at point (0,4) no matter what values we use for a and b. The second part isn't much harder. We need to make the derivatives of the two expressions match up, so we want \[2ax+b=25x^{4}+12x ^{3}+14x+8\] But remember, this is happening at x=0, so everything disappears except b=8. So the final answer is that the function is differentiable when b=8. It doesn't matter what value we choose for a because at x=0 the elements including a disappear in both f(x) and f'(x).
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.