Unit 2: Sections 3.9-4.3, JIT:14
Skill Set

JIT:14: Word Problems, Algebraic and Trigonometric

Problems Assigned: 14.1: 13, 14, 15
14.2: 1, 3, 5, 7, 8, 9, 10, 11, 12
14.3: 1, 2, 3, 4, 5

Assessment Item	Online	Textbook
Solve algebraic word problems.		14.1: 13, 14, 15
Solve right triangles.		14.2: 1, 3, 5, 7, 8, 9, 10, 11, 12
Solve triangles using laws of sines and cosines.		14.3: 1, 2, 3, 4, 5

Section 3.9: Related Rates

Problems Assigned: 1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 27, 29, 33, 38

Assessment Item	Online	Textbook
Write an equation that relates rates of change given a situation.	5c	1, 2, 3c, 7b, 9c
State how one rate of change is related to another if one or more quantities are constant.		3ab, 7ac, 9ab
Determine and interpret a given rate of change.	5ab
Solve applications involving related rates using the problem strategy on p. 203.	5d, 11, 13, 15, 17, 21, 23, 27, 29, 33	13, 38

Section 3.10: Linearization and Differentials

Problems Assigned: 1, 5, 9, 13, 19, 27, 31, 33, 39, 45, 47, 51, 53, 61

Assessment Item	Online	Textbook
Find the linearization of a function at a given point.	1, 5
Find the linearization of a function near a given point.		9, 13
Find the differential dy.	19, 27, 31	33
Find the change in function value when x changes by dx. Find the estimate of this change, the differential df. Find the approximate error, the difference between the actual change and the estimated change.	39
Write a differential formula that estimates a given change in volume or surface area.		45, 47
Estimate a quantity using linearization or differentials.	51, 53
Estimate percentage error in a calculation.	61

Section 4.1: Extreme Values of Functions

Problems Assigned: 7, 9, 11, 15, 17, 19, 23, 25, 33, 34, 35, 39, 45, 49, 51, 55, 61, 63, 65, 66, 67

Assessment Item	Online	Textbook
Find extreme values and where they occur given a graph.	7	9
Match a table of derivative values with a graph.	11
Find the absolute extrema of a function on a given interval and where they occur.	15, 17, 19, 23, 25, 33, 35, 39, 45, 49	34, 51
Graph a function, identifying absolute extrema with their coordinates.	(15, 17, 23, 33)	(19, 25, 34)
Find the critical points of a function and determine the local extreme values.	55, 61
Show and explain how the Extreme Value Theorem applies to a function or not.		63, 65
Explain the relationship between even and odd functions and local extrema.		66, 67

Section 4.2: The Mean Value Theorem

Problems Assigned: 1, 3, 4, 5, 7, 15, 19, 25, 27, 31, 35, 37, 39, 41, 45, 51

Assessment Item	Online	Textbook
Find the value(s) of c that satisfies the conclusion of the Mean Value Theorem.	1, 3	4
Determine if a function satisfies the hypotheses of the Mean Value Theorem on the given interval. Explain the conclusion.		5, 7
Show that a function has exactly one zero in a given interval using Rolle's Theorem and the Intermediate Value Theorem.		15, 19
Find all possible functions with the given derivative. (Solve initial value problem.)	25, 27, 31, 35, 39, 41	37
Interpret a physical situation using the Mean Value Theorem.		45, 51

Section 4.3: Monotonic Functions and the First Derivative Test

Problems Assigned: 1, 5, 17, 23, 29, 31, 35, 47, 51, 53

Assessment Item	Online	Textbook
Find the critical points of a function and determine any local extreme values and where they occur.	1, 5, 17, 23, 31	29, 35
Find the intervals on which a function is increasing or decreasing.	(1, 5, 17, 23, 31)	(29)
Determine if a local extreme is absolute.	(17, 23, 31)	(29, 35)
Sketch the graph of a differentiable function through a point given conditions on the first derivative.		47
Locate and identify the absolute extreme values of a function.		51, 53