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Berkeley >> PHYSICS >> 7A (Fall, 2008)
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Berkeley >> PHYSICS >> 7A (Fall, 2008)
Physics 7A Homework 14 December 2008 All problems are from Giancolis Physics for Scientists and Engineers. 1. Problem 14.20 A mass m = 1.25 kg stretches a vertical spring a distance x0 = .210 m. If it is stretched x1 = 1.30 m and released, how long w...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 1: Position, velocity, and acceleration Questions 1. See the graph on page 3. From 0 to A: The needle would be at a constant non-zero value. From A to B: The needle would move from the previous value to a faster value. From B to C: The ...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 2: One-dimensional kinematics Questions 1. Yes, it is possible for an object to have zero velocity and be accelerating at the same time. 2. Yes, it is possible to increase speed while decreasing acceleration. 3. Ball C will reach the botto...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 3: Two-dimensional motion I (Projectile motion) Questions 1. Consider a projectile at the top of its trajectory (a) The total speed is v0 cos 0 (vertical component of velocity is zero). (b) The acceleration is a = gy (c) The accleration i...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 4: Two-dimensional motion II (Projectile motion) Questions 1. Pendulum Swinging In the rst picture, it drops straight downwards. In the second picture, it mostly falls downwards, but also has some initial velocity to the right. (the init...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 5: Force and Newtons Laws Questions 1. A puck is acted on by a force (a) Since the force is vertical, it will not aect the horizontal velocity of the puck; it will only add a vertical component to the velocity. The puck will move towards t...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 6: Friction Questions 1. This is true. You exert a backwards frictional force on the Earth, and by Newtons 3rd Law, experience a forward force on yourself, due to the Earth. 2. Since theres no way to exert an horizontal force on the ice po...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 7: Centripetal Motion Questions 1. You are thrust back into your seat because your seat is accelerating forwards while you are trying to continue at the same velocity you were traveling at before. The car exerts a forward force on you, whi...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 8: Work and Kinetic Energy Questions 1. No work is done because the displacement (horizontal) is perpendicular to the direction of the force (vertical - gravity being the force). 2. W = F x, since the wall doesnt move the work is zero. 3....
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 10a: Center of Mass & Collisions I Questions 1. The center of mass of the diver will follow a simple parabolic arc. Since any twisting and turning is the result of an internal force in the diver, there is no change in the motion of the cen...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 10b: Impulse, Momentum, & Collisions II Questions 1. What happens in an auto collision: (a) In a collision, the total change in momentum is zero. That both cars feel about the same change in momentum, hence if you have a bigger car, youll ...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 13: Statics Questions 1. No, the ladder will not remain in place; to see this, rst draw the free body diagram for the ladder, and then write down the corresponding torques taking any point you wish for the axis of rotation. If you try to s...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 14: Rotational Energy Questions 1. Consider a straight stick balancing on frictionless ice, what path does the center of mass fall? Since there is no net horizontal force, the center of mass cannot accelerate horizontally, hence must fall ...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 17: Oscillations Questions 1. Simple harmonic motion is when an object oscillates with a frequency which is independent of amplitude. It is characterised by the fact that the acceleration of the object is proportional to its velocity: a + ...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 19: Waves Problems 1. The equation of a certain wave is: y(x, t) = 0.1 sin [2(x 10t)]. (a) It is moving right (positive x-direction) (b) = 1 m, f = 10 Hz, v = f = 10 m/s (c) T = v 2 = 10 N (d) vtransverse,max = A = 2 m/s 2. Sound enters...
Berkeley >> PHYSICS >> 7A (Fall, 2008)
Worksheet 21: Fluid Dynamics Questions 1. Particles travel through a straight tube. (a) The speed of particles at A is the same as particles at B. There was a dierence in speed, particles would bunch up between the two points (if vA > vB ) or would ...
UNC Charlotte >> MATH >> 1242 (Fall, 2006)
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UNC Charlotte >> MATH >> 2171 (Spring, 2009)
Calculus Cheat Sheet Limits Definitions Limit at Infinity : We say lim f ( x ) = L if we Precise Definition : We say lim f ( x ) = L if x a for every e > 0 there is a d > 0 such that whenever 0 < x - a < d then f ( x ) - L < e . Working Definition ...
UNC Charlotte >> MATH >> 2171 (Spring, 2009)
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UNC Charlotte >> ENGL >> 1113 (Spring, 2009)
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UNC Charlotte >> ENGL >> 1113 (Spring, 2009)
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UNC Charlotte >> CHEM >> 2131 (Fall, 2008)
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UNC Charlotte >> ENGL >> 1101-049 (Spring, 2007)
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UNC Charlotte >> MATH >> 2164 (Spring, 2007)
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UNC Charlotte >> MATH >> 2141 (Spring, 2007)
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UNC Charlotte >> MATH >> 1241 (Spring, 2007)
Notes...
UNC Charlotte >> MATH >> 1241 (Fall, 2008)
Notes...
UNC Charlotte >> MATH >> 2171 (Spring, 2009)
Math 3301 Homework Set 1 Solutions 10 Points 1. (2 pts) From the differential equation we can see that the derivative will be zero at : y = 2, 2, 4 . A sketch of the direction field and a few solutions is shown to the right. From this we can see ...
UNC Charlotte >> MATH >> 2171 (Spring, 2009)
Math 3301 Homework Set 1 10 Points Basics Sketch the direction field for each of the following differential equations. Based on your direction field sketch determine the behavior of the solution, y ( t ) , as t (i.e. the long term behavior). If ...
UNC Charlotte >> MATH >> 2171 (Spring, 2009)
Math 3301 1. (3 pts) Homework Set 2 Solution 10 Points 8 y + 3 dy = 2 - 5x dx 4 y + 3 y - (7 + 2x - x 2 5 2 2 4 y 2 + 3 y = 2 x - 5 x2 + c 2 y= 4 (1) + 3 (1) = 7 = c 2 )=0 -3 9 + 4 ( 4 ) ( 7 + 2 x - 5 x 2 ) 2 8 -3 + 121 + 32 x - 40 x 2 8 ...
UNC Charlotte >> MATH >> 2171 (Spring, 2009)
Math 3301 Homework Set 3 Solutions 10 Points 1. (3p ts) Heres the IVPs we need for this problem. P = rP P = rP + 7 ( 4 ) - 9 ( 4 ) = rP - 8 Solving the first gives, The second IVP is now, P ( 0 ) = 50 P ( 0 ) = 50 P ( 3) = 150 P ( t ) = 50e r...
UNC Charlotte >> MATH >> 2171 (Spring, 2009)
homework questions...
UNC Charlotte >> MATH >> 2171 (Spring, 2009)
Math 3301 Homework Set 2 10 Points Separable Differential Equations For problems 1 & 2 find the solution to the given IVP and determine the interval of validity for the solution. Any approximate answers must be to at least the 4th decimal place an...
UNC Charlotte >> MATH >> 1241 (Spring, 2008)
Department of Mathematical Sciences Math 221 Calculus I Spring 2008 Final Exam DO NOT TURN OVER THIS PAGE UNTIL INSTRUCTED TO DO SO NAME (Printed): SECTION NO.: When instructed, turn over this cover page and begin the test. You will have 2 hours t...
UNC Charlotte >> MATH >> 1241 (Spring, 2007)
Department of Mathematical Sciences Math 221 Calculus I Spring 2007 Final Exam DO NOT TURN OVER THIS PAGE UNTIL INSTRUCTED TO DO SO NAME (Printed): SECTION NO.: INSTRUCTOR: When instructed, turn over this cover page and begin the test. You will have...
UNC Charlotte >> MATH >> 1241 (Fall, 2008)
Department of Mathematical Sciences Math 221 Calculus I Fall 2006 Final Exam A DO NOT TURN OVER THIS PAGE UNTIL INSTRUCTED TO DO SO NAME (Printed): SECTION NO.: INSTRUCTOR: When instructed, turn over this cover page and begin the test. You will have...
UNC Charlotte >> MATH >> 1214-008 (Fall, 2008)
Calculus 221 - First Test September 19, 2008 NOTE: THIS IS ONE OF SEVEN DIFFERENT EXAMS GIVEN; IT IS LIKE, BUT PERHAPS NOT THE SAME AS, THE ONE YOU TOOK. No calculators allowed. Justify your answers. 1 (a) What is the slope of the line 4x + 5y 10 = ...
UNC Charlotte >> MATH >> 1214-008 (Fall, 2005)
Math 221 Test 1 September 21, 2005 1. (9 points) Given f (x) = sin x and g(x) = and nd their domains: (a) f g (x) = x + 1, nd formulas for the following functions, sin x Solution: x+1 The domain of f is g Solution: (1, ) or { x : x > 1 } (...
UNC Charlotte >> MATH >> 3301 (Spring, 2008)
Syllabus for Paul Dawkins Math 3301 This is the order of topics that I hope to follow this semester. Since this is the first time Im teaching this course as a three hour course (instead of a four hour course as it was for so many years) I may or may ...
UNC Charlotte >> MATH >> 3301 (Spring, 2008)
uncc math placement test...
UNC Charlotte >> CHEM >> 2131 (Fall, 2008)
quiz...
UNC Charlotte >> CHEM >> 2131 (Fall, 2008)
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UNC Charlotte >> MATH >> 1120 (Fall, 2008)
Math 1120 Calculus Test 3. November 15, 2001 Your name The multiple choice count 5 points each and the true-false problems count 3 points each. In the multiple choice section, circle the correct choice (or choices). You must show your work on the ...
UNC Charlotte >> CHEM >> 2131 (Fall, 2008)
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UNC Charlotte >> CHEM >> 2131 (Fall, 2008)
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UNC Charlotte >> MATH >> 3301 (Spring, 2008)
Common Derivatives and Integrals Derivatives Basic Properties/Formulas/Rules d ( cf ( x ) ) = cf ( x ) , c is any constant. ( f ( x ) g ( x ) ) = f ( x ) g ( x ) dx dn d ( c ) = 0 , c is any constant. ( x ) = nxn-1 , n is any number. dx dx f ...
UCSD >> CHEM >> 630888 (Winter, 2007)
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UC Davis >> HIS >> 17B (Winter, 2009)
January 6, 2009 HISTORY 17B NOTES Themes: 1. Changing notions of citizenship: (slaves are suddenly free, what should they be now? Limited rights? Citizens? Non-citizens? In addition, next 100 years fully debated. Suffrage expanded and contracted, and...
UC Davis >> HIS >> 17B (Winter, 2009)
1. Senate said:Were gonna ignore the new president and just go on with the reconstruction. a. Before any state is readmitted, i. they need to abolish slavery (13th amendment) ii. also have to pass the 14th amendment iii. also have to pass the 15th am...
UC Davis >> HIS >> 17B (Winter, 2009)
January 8, 2009 Westward Expansion 1865-1900s I. II. III. Indian wars a. Sand Creek 1864 b. Little Bighorn 1876 Reform and Dawes Act of 1887 Entertainment and westward expansion: buffalo Bills Wild West Overall themes after civil war: I. Industriali...
UC Davis >> HIS >> 17B (Winter, 2009)
II. His force was divided to 3 parts Everyone died Recorded by the newspaper reporters who were there Became very symbolic custars last stand 1. he became a symbol of honor that he bravely tried to take Indians with undermen force 2. Indians must be...
UC Davis >> HIS >> 17B (Winter, 2009)
January 13, 2009 Growth in 19th century I. Growth a. U.S. was growing with both the citizens and immigrants b. Urbanized cities i. Anywhere with 2500 residents is defined a city ii. 1926: 52% was living in cities c. Common figure d. Economic growth i...
Waterloo >> MATH >> 138 (Winter, 2007)
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Michigan >> ECON >> 398 (Spring, 2009)
Econ 398 Homework 1 Sketch of Solutions 1. For Olaf and Phil, it is handy to number the nodes like this: Then Olafs strategies specify what he does at node 1 and what he does at node 5. His strategy set is {(U,T), (M,T), (D,T), (U,B), (M,B), (D,B)}....
Michigan >> ECON >> 398 (Spring, 2009)
Econ 398 Homework 2 Sketchy Solutions 1. There are four Nash Equilibria; each one involves one of the four writing down $3, while the other three each write down $10. Notice that in a strategy profile where two players, say Alice and Bertha, write do...
Michigan >> ECON >> 398 (Spring, 2009)
Econ 398 Homework 3 Due Feb 6, 2009 1. Alice and Bob are each considering contributing to a public park which will be enjoyed by all. Alice has $24, of which shell contribute $a. Bob has $15 of which hell contribute $b. Alices payoff depends on the t...
Michigan >> ECON >> 398 (Spring, 2009)
Econ 398 Homework 3 Sketchy Solutions 1. You can calculate the best response functions and then solve the two functions simultaneously to get a*=11, b*=2. Show that if each person adds one dollar to their own contribution, each persons utility level ...
Michigan >> ECON >> 398 (Spring, 2009)
Econ 398 Homework 4 Due Friday, February 20, 2009 1) Dixit & Skeath, Chapter 6, problem 1 2) This is a variant on the War of Attrition discussed in class. In this example, each player places no value on the time spent waiting for the other player to ...
Michigan >> ECON >> 398 (Spring, 2009)
Econ 398 Homework 5 Due Friday, March 6, 2009 1) Dixit Skeath, Chapter 6, problem 5 3) In the game depicted above, suppose that firm 2 operates both in Kalamazoo and in Toledo. Firm 1 is a potential entrant ...
Michigan >> ECON >> 398 (Spring, 2009)
Econ 398 Homework 6 Due Friday, March 13, 2009 1) Dixit Skeath, Chapter 8, problem 6 3) Recall the game discussed in lecture called Glorified Chicken: Daisy Duke Billy Jo Bob Left Left Straight Right 1,1 2...
Michigan >> ECON >> 398 (Spring, 2009)
Practice Questions for Exam 1 1. The following game has exactly one Nash equilibrium if COLUMN Down Right 4,5 9,y x,6 10,2 ROW a. b. c. d. e. x = 4, y = 2 x = 5, y = 2 x = 3, y = 6 x = 2, y = 7 None of the above Up Left 2. Suppose there are 10 peo...
Michigan >> ECON >> 398 (Spring, 2009)
Practice Exam 2 1. Take the following gambles: A1 = 0.3 0.7 0.6 0.4 $10 $0 $10 $0 B1 = 0.1 0.9 x y $5 $0 $5 $0 A2 = B2 = Assume that you prefer A1 to B1, and that you prefer B2 to A2. Your preferences can be summarized by some von-Neumann/Morgenst...
Michigan >> ECON >> 398 (Spring, 2009)
True-False Questions: Answer A for \"True\" and B for \"False\". Each correct answer is worth 2 points. Each wrong answer is worth zero points. Answers left blank are worth 1 point. Multiple-Choice Questions: Select the best answer. Each correct answer ...
Michigan >> ECON >> 402 (Winter, 2008)
PS 1 - National Accounting and Data (60 raw points) ECON 402, Prof. Bachmann Due: January 20 Explain all your answers. Results only means partial credit only. Staple and write legibly. No spiral stuff. The numbers in brackets are the subdivision of ...
Michigan >> ECON >> 402 (Winter, 2008)
PS 2 Tools: Data and Maths (60 raw points) ECON 402, Prof. Bachmann Due: January 27 Explain all your answers. Results only means partial credit only. Staple and write legibly. No spiral stuff. The numbers in brackets are the subdivision of raw poin...
Michigan >> ECON >> 402 (Winter, 2008)
PS 3 Consumption, Savings and Investment (60 raw points) ECON 402, Prof. Bachmann Due: February 03 Explain all your answers. Results only means partial credit only. Staple and write legibly. No spiral stuff. Write on the top of the front page of th...
Michigan >> ECON >> 402 (Winter, 2008)
PS 4 Labor Supply, the Real Intertemporal Model and Taxes (60 raw points) ECON 402, Prof. Bachmann Due: February 10 Explain all your answers. Results only means partial credit only. Staple and write legibly. No spiral stuff. Write on the top of the...
Michigan >> ECON >> 402 (Winter, 2008)
PS 5 Money and Transactions (60 raw points) ECON 402, Prof. Bachmann Due: March 3 Explain all your answers. Results only means partial credit only. Staple and write legibly. No spiral stuff. Write on the top of the front page of the assignment you ...
Michigan >> ECON >> 402 (Winter, 2008)
PS 6 Two Canonical Models (60 raw points) ECON 402, Prof. Bachmann Due: March 10 Explain all your answers. Results only means partial credit only. Staple and write legibly. No spiral stuff. Write on the top of the front page of the assignment you h...
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