Section 3.10 Read the entire section.  Answer the following questions by 7:00 am.  Send an e-mail with subject line MA251 to selliott@utm.edu .

1) Fill in the blanks:  The function L(x) = f(b) + f ' (b)(x-b) is called the ________ of f at ______ .  [Be careful to answer this question; do not simply copy something out of the book).

linearization; at b

Elina Geut

2) In Example 4, a maximum error of 277 cubic centimeters is the result of the calculation.  Is this volume approximately the volume of one French Fry, approximately the volume of three packs of playing cards, or approximately the volume of two copies of your calculus textbook?

3 packs of playing cards
Austin Gullet

3) Use Figure 2 and the table at the end of Example 1 to answer this question.  Does the linearization L(x) in this example give an overestimate or underestimate of the true values which it approximates?

overestimate
Wilson Spivey

Section 3.11 Read the entire section.  Answer the following questions by 7:00 am.  Send an e-mail with subject line MA251 to selliott@utm.edu .

Pay particular attention to Figures 1, 2, and 3 and the bottom third of page 259 (starting with "The derivatives of the hyperbolic functions are easily computed," and ending with the table of derivatives.).

Disregard: The next reading assignment will appear after exam 2.

1) What is another name for (e^x - e^(-x))/2 ?

sinh x
Garrett Wright

2) What is the derivative of the hyperbolic cosine function, cosh x ?

sinhx
Alyssa Reed

3) Of the three functions sinh, cosh, and tanh, which one requires a restriction of its domain in order to define its inverse function?

cosh
Darcey Jones