MthSc 104 Precalculus and Introductory Differential Calculus (first semester of year - long calculus)
Fall 2009
Unit 1 Skill Set Just- in- Time Sections 1.1 - 1.5, 1.8, 3.1 - 4.6, 5.1 - 5.5, 10.1 - 10.6
Note: * indicates that this objective is covered in
11.1. Visualize: Please refer to Figure EX11.1. ! Solve: (a) A " B # AB cos! # (4)(5)cos 40$ # 15.3.
(b) (c)
! C " D # CD cos! # (2)(4)cos120$ # %4.0. ! E " F # EF cos! # (3)(4)cos90$ # 0.
11.2. Visualize: Please refer to Figure EX11.2. ! Solve: (a) A " B
12.1.
Model: A spinning skater, whose arms are outstretched, is a rigid rotating body.
Visualize:
Solve: The speed v " r! , where r " 140 cm/2 " 0.70 m. Also, 180 rpm " (180)2# /60 rad/s " 6# rad/s. Thus, v " (0.70 m)(6# rad/s) " 13.2 m/s. Assess: A speed
13.1. Model: Model the sun (s) and the earth (e) as spherical masses. Due to the large difference between
your size and mass and that of either the sun or the earth, a human body can be treated as a particle. GM s M y GM e M y and Fe on you " Solve: Fs on
14.1. Solve: The frequency generated by a guitar string is 440 Hz. The period is the inverse of the frequency,
hence
T"
1 1 " " 2.27 # 10!3 s " 2.27 ms f 440 Hz
14.2. Model: The air-track glider oscillating on a spring is in simple harmonic motion.
Solve:
15.1. Solve: The density of the liquid is
!#
Assess:
0.240 kg m 0.240 kg # # # 960 kg m3 V 250 mL 250 $ 10"3 $ 10"3 m3
The liquids density is near that of water (1000 kg/m3 ) and is a reasonable number.
15.2. Solve: The volume of the helium gas in contain
IPTAY Collegiate Club New Membership & Renewal
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Student Name:_ Preferred Mailing Address:_ City:_ _ State:_ Zip Code:_
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Hills Like White Elephants By Ernest Hemingway The hills across the valley of the Ebro were long and white. On this side there was no shade and no trees and the station was between two lines of rails in the sun. Close against the side of the station there
9.1. Model: Model the car and the baseball as particles.
Solve:
(a) The momentum p ! mv ! "1500 kg # "10 m/s # ! 1.5 $ 104 kg m/s.
(b) The momentum p ! mv ! " 0.2 kg #" 40 m/s # ! 8.0 kg m/s.
9.2. Model: Model the bicycle and its rider as a particle. Also
10.1. Model: We will use the particle model for the bullet (B) and the running student (S).
Visualize:
Solve:
For the bullet,
1 1 2 K B ! mBvB ! (0.010 kg)(500 m/s) 2 ! 1250 J 2 2 For the running student, 1 1 2 KS ! mSvS ! (75 kg)(5.5 m/s)2 ! 206 J 2 2 Th
8.1.
Model: The model rocket and the target will be treated as particles. The kinematics equations in two dimensions apply. Visualize:
Solve:
For the rocket, Newtons second law along the y-direction is
! Fnet " y # FR $ mg # maR
' aR # 1 1 %15 N $ ! 0.8 k
MthSc 104 Precalculus and Introductory Differential Calculus (first semester of year - long calculus)
Fall 2009
Unit 2 Skill Set Just- in- Time Section 11 and Supplement University Calculus 2.1 - 2.7, 3.1
Note: * indicates that this objective is covered i
MthSc 104 Precalculus and Introductory Differential Calculus (first semester of year - long calculus)
Fall 2009
Unit 3 Skill Set Just- In- Time Sections 6.1 - 6.2, 7.1 - 7.4, 12, 13 University Calculus Sections 3.2 - 3.6
Note: * indicates that this object
MthSc 104 Precalculus and Introductory Differential Calculus (first semester of year - long calculus)
Fall 2009
Unit 1 Skill Set Just- in- Time Sections 1.1 - 1.5, 1.8, 3.1 - 4.6, 5.1 - 5.5, 10.1 - 10.6
Note: * indicates that this objective is covered in
Mrs. Simms
104 hw
Fall 2009
DUE Date class perio d
W F M T 8/19/09 8/21/09 8/24/09 8/25/09 1 2 3 4
Reading
wholly in class
intro to MthSc 106L
starte d in class nish for due date
Basic Skills Test Review (w ill not be collecte d)
MyMathLab (due at 5pm)
JI
Score: _ Group Name: _
Learning Activity
JIT 9.3 & UC 3.8
MthSc 107 Name: _
1. Find the exact value of each expression. 1 a. tan 1 b. cot 1 3 3
1 c. sin 1 2
d. cos1
3 2
e. arc sec
2 3
f. csc1 2
2. Evaluate, with exact solution if possible. If the e
Day 6: Inverses, Logs, and Derivatives Learning Activity
Group Name:_ 1: a) Calculate the inverse for d ( x)
Name:_
( x 3)3 3 3
b) If d ( x) tells you the blood-alcohol level after x drinks, what does d 1 ( x) tell you?
2: Calculate the derivatives. a) f
Mrs. Simms
104 hw
Fall 2009
DUE Date class perio d
W F M T W F 8/19/09 8/21/09 8/24/09 8/25/09 8/26/09 8/28/09 1 2 3 4 5 6
Reading
wholly in class
intro to MthSc 106L
starte d in class nish for due date
Basic Skills Test Review (w ill not be collecte d)
M
7.1.
Visualize:
Solve: (a) The weight lifter is holding the barbell in dynamic equilibrium as he stands up, so the net force on the barbell and on the weight lifter must be zero. The barbells have an upward contact force from the weight lifter and the gra