(a) Use Taylor's Theorem to compute the remainder R3(x) in terms of value c that lies between 0 and x. (b) Give an upper bound on the error assuming x∈ [ − 4 , 4 ]. Compute the exact value of c (in terms of x) so that R 3 ( x ) = f ( x ) − p 3 ( x ) and R 3 ( x ) in part (a) agree. Note: p 3 ( x ) is the 3rd-order Taylor polynomial.

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? define a variable for the situation. write an inequality that represents the situation. solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

Apatient is to take 60 mg of an antibiotic on day 1, take 45mg on days 2 and 3, take 30mg on days 4 and 5 and take 15 mg on days 6 and 7. how many total mg will the patient take?

What is another way to express 36 +32