|
CALCULUS I MATH 181 |
Southwestern Adventist University |
|
| Distance Education | Lawrence E. Turner, Jr., Ph.D. | |
course syllabus
assignments
materials
request a test
proctor form
(Thomas and Finney, 9th edition)
Chapter 3 Applications
of Derivatives
16. Find the values of any local maxima and minima the functions may have on the given domains.
Which extrema, if any, are absolute?
-
(10)
-
(10)
17. Do the functions satisfy the hypotheses of the Mean Value Theorem? Explain why or why not.
-
(5)
-
(5)
18. If two functions, f(x) and g(x), have the same derivative at each point of an interval, then how are they related? Explain.
(5)
19. Determine any asymptotes of the following functions:
-
(5)
-
(5)
-
(5)
-
(5)
20. You are planning to make an open rectangular box from an 8-by-15-in. piece of cardboard by cutting squares from the corners and folding up the sides. What are the dimensions of the box of largest volume you can make this way?
(10)
21. Two sides of a triangle have lengths a and b, and the angle between them is x. What value of x will maximize the triangle's area? Note: A = (1/2)ab sin x.
(10)
22. Find the linearization of each of the following functions at the point indicated:
-
(5)
-
(5)
-
(5)
23. Use Newton's method to find a value for 2. Use the equation:
and make an initial guess of x0 = 1. Compute at least 4 significant digits.
(10)
© 1999, 2000, 2001, 2002, 2003, 2008 by Lawrence Turner