M408K Final Exam Review Timeline
UT Learning Center Fall 2009
Day 1 2 Limits and Rates of Change 2.1 The Tangent and Velocity Problems 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.4 The Precise Definition of a Limit* 2.5 Conti
M408K Final Exam Review Day 1
1) Determine the following limits.
3 x -1 x5 For f ( x) = 3 x 2 -1 x 3 x x2 2x 1 x0 x 1 0
A) lim f ( x)
x 5
B) lim f ( x) C) lim f ( x)
x 1 x 0
D) lim f ( x)
x 1
2)
Find the limit if it exists. A) lim
x 7
x 2 3 x7
B)
1 1 li
M408K Final Exam Review Day 2
1) Find the absolute Maximum and Minimum of f ( x) x 4 2 x 2 3 on 2,3
2)
Which of the following functions satisfy the hypotheses of the Mean Value Theorem? A) f ( x)
1 on [0, 2] x 2
2
B) f ( x) x on [0,1] C) f ( x) x1 3 on [
M408K Third Exam Review Day 1
1) A right circular cylinder (with a bottom and a top) is to be designed to hold 24 cubic inches of a soft drink and to use a minimum of material in its construction. Find the required dimensions for the container.
2) A poste
padilla (tp5647) H08: Solubility McCord (53215) This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points The compound M2 X3 has a molar solubility of 0.0520
padilla (tp5647) H07: pH curves, Indicators McCord (53215) This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points At the stoichiometric point in the titra
Dr. McCord CH302
OVERVIEW for EXAM 3
Fall 2009
page 1
Textbook Chapters for Exam 3
You still need to know many of the concepts and calculations from Chapter 7 (type 1 problems). Plus, exam 3, WILL have polyprotic acids on it in some form. Polyprotics were
padilla (tp5647) HW10 cheng (57455) This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points Evaluate the iterated integral
4 4 1
1
I=
1
xy dy dx . + yx
Eva
padilla (tp5647) HW10 cheng (57455) This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points
1
Determine the value of the double integral I=
A
3xy 2 dA 4 +
padilla (tp5647) HW09 cheng (57455) This print-out should have 24 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points 002 10.0 points
1
Evaluate the integral
/4
I=
0
3 tan2 x 2 dx
padilla (tp5647) HW08 cheng (57455) This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points
1
keywords: Stewart5e, indenite integral, powers of sin, powers
padilla (tp5647) HW07 cheng (57455) This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points 3. I = 4. I = 5. I = 1 dx . 1 + 25(x 6)2 1. I = 4 correct 3
1
2
padilla (tp5647) HW06 cheng (57455) This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001
e
1
2. I = 3 ln 3. I = 3 ln
5 3 5 2
10.0 points 4. I = 1 cfw_2f (ln x) 1 dx
page 1
TYPE 2 (acid buffer)
( both HA and A- are put into solution ) For a weak acid (HA) in water: HA + H2O H3O+ + AFor a salt, NaA, of the weak acid (HA) in water: NaA (s) + H2O Na+ + A- (100% ionization!) NOTICE: There are now TWO sources for the ion A