Section 3.10 Read the entire section. Answer the following questions by 7:00 am. Send an e-mail with subject line MA251 to firstname.lastname@example.org .
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 bElina 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?
packs of playing
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
Section 3.11 Read the entire section. Answer the following questions by 7:00 am. Send an e-mail with subject line MA251 to email@example.com .
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 ?
2) What is the
derivative of the hyperbolic cosine function, cosh x ?
3) Of the three
functions sinh, cosh, and tanh, which one requires a restriction
of its domain in order to define its inverse function?