Study Guide:

Unit 1: Electricity

Distinguish between electrical potential energy, electric potential, and potential difference. Solve problems involving electrical energy and potential difference.

Relate capacitance to the storage of electrical potential energy in the form of separated charges.

Calculate the capacitance of various devices.

Calculate the energy stored in a capacitor.

Describe the basic properties of electric current, and solve problems relating to current, charge, and time.

Calculate resistance, current, and potential difference by using the definition of resistance.

Distinguish between ohmic and non-ohmic materials, and learn what factors affect resistance.

Calculate electric power and the cost of running electrical appliances.

Interpret and construct circuit diagrams. Identify circuits as open or closed.

Deduce the potential difference across the circuit load, given the potential difference across the battery’s terminals.

Calculate the equivalent resistance for a circuit of resistors in series, and find the current in and potential difference across each resistor in the circuit.

Calculate the equivalent resistance for a circuit of resistors in parallel, and find the current in and potential difference across each resistor in the circuit.

Calculate the equivalent resistance for a complex circuit involving both series and parallel portions.

Unit 2: Magnetism

For given situations, predict whether magnets will repel or attract each other.

Describe the magnetic field around a permanent magnet.

Describe the magnetic field produced by current in a straight conductor and in a solenoid.

Use the right-hand rule to determine the direction of the magnetic field in a current-carrying wire.

Given the force on a charge in a magnetic field, determine the strength of the magnetic field.

Use the right-hand rule to find the direction of the force on a charge moving through a magnetic field.

Determine the magnitude and direction of the force on a wire carrying current in a magnetic field.

Unit 3: Electromagnetic induction

Recognize that relative motion between a conductor and a the magnetic field induces an emf in the conductor.

Explain, how changing magnetic flux produce an induced emf?

Describe how the change in the number of magnetic field lines through a circuit loop affects the magnitude and direction of the induced electric current.

Apply Lenz’s law and Faraday’s law of induction to solve problems involving induced emf and current.

Please answer in full sentences! Will tip for a thourough answer- thanks!

Suppose that you are a newly employed researcher at a university. You have been hired on the basis that you are going to investigate the role of a newly discovered polymerase enzyme – let’s call it Pol4202. This polymerase is hypothesized to bypass UV photodimers.

Part A

Your graduate student has created the following DNA sequence containing a cyclobutane pyrimidine dimer (denoted by **), as well as several primers to use for primer extension. This will be used as a test substrate to establish whether Pol4202 can bypass the lesion. Describe the necessary biochemical components that must be added to carry out this experiment and why each is required.

Part B

Interpret the results of the gel below (which was performed using the template and primers from Part A, above, with and without dimers as indicated at the top of each lane). Does Pol4202 possess the hypothesized activity? Recall that Polδ is a replicative polymerase. Describe the expected outcome on this gel for both successful and unsuccessful lesion bypass.

Mendel studied the structural traits of his plants. However, humans display behavioral traits in addition to simple physical traits. Research continues to attempt to provide evidence that behavioral traits can be inherited. Choose one behavioral trait, or a trait that is associated with behavior, from the following: addiction, intelligence, schizophrenia, homosexuality, “warrior genes”, or altruism. Provide current research on the heritability of such behavioral genes, and please use APA format in your reference(s).

https://gmc.mrooms3.net/pluginfile.php/5866458/mod…

I’m working on a physics question and need support to help me learn.

Background

For this homework, you will work on a problem named “who gets the cake”. Let’s start with the introduction of this problem. Imagine that there is a piece of cake and several people want it. They decide who can have it by playing a game: They form a circle and choose an integer k greater than one. They count 1, 2, 3, …, k. The k-th person is eliminated. They keep counting until only one person is left. This person who is left gets the cake.

Please notice that there are different definitions of this problem. Your solution must follow the definition here. More precisely, this is how the method works: There are n people (n is an integer), represented by n elements in an array. The elements are counted as 1, 2, 3, … When the value k is counted, this element is removed in future counting and the next element starts as 1 again. When reaching the end of the array, the counting wrap around to the beginning of the array (skipping the elements that have already been eliminated). Please notice that in C arrays, indexes always start at zero but in this problem counting starts at one. Both n and k have to be greater than one. It is possible that k is greater than n.

Array quick review

Arrays are sequences of data types laid out next to each other in memory. C treats array data types specially, allowing you to access them by indexing from a base expression:

int a[10]; //10 integers next to each other

a[0] = 5; //access the first integer

a[9] = 10; //access the 10th integer

Remember that the first element of an array is at index 0, and the last element of an array is at index size - 1.

Note that if you don’t know the size of the array ahead of time, you can dynamically allocate the array:

int * a = malloc(20 * sizeof(* a)); //allocate an array of 20 integers

a[4] = 20; //access the fifth integer

Do not worry if the syntax of the first line looks mysterious. We will explain it in detail when we discuss pointers and memory allocation. For now, just rely on this making an array of 20 integers!

Examples

• The following is an example when the array has 6 elements (n is 6) and k is 3. The eliminated elements in each round are mared by X. The elements eliminated earlier are marked by Y.

array index012345count12X12Xarray index012345count12YX1Yarray index012345count2XYY1Yarray index012345count2YYYXY

The element of index 0 is left.

• This is the second example. The array has 4 elements (n is 4) and k is 6. This is an example where k is greater than n.

array index0123count1234array index0123count5X12array index0123count3Y45array index0123countXY12array index0123countYY34array index0123countYY5X

The element of index 2 is left.

• This is the third example. The array has 25 elements (n is 25) and k is 7.

array index0123456789101112131415161718192021222324count123456X123456X123456X1234array index0123456789101112131415161718192021222324count56X123Y456X12Y3456X1Y2345array index0123456789101112131415161718192021222324count6XY123Y456YX1Y2345Y6YX123array index0123456789101112131415161718192021222324count4YY56XY123YY4Y56X1Y2YY345array index0123456789101112131415161718192021222324count6YYX1YY234YY5Y6XY1Y2YY345array index0123456789101112131415161718192021222324count6YYYXYY123YY4Y5YY6YXYY123array index0123456789101112131415161718192021222324count4YYYYYY56XYY1Y2YY3YYYY456array index0123456789101112131415161718192021222324countXYYYYYY12YYY3Y4YY5YYYY6X1array index0123456789101112131415161718192021222324countYYYYYYY23YYY4Y5YY6YYYYXY1array index0123456789101112131415161718192021222324countYYYYYYY23YYY4Y5YY6YYYYYYXarray index0123456789101112131415161718192021222324countYYYYYYY12YYY3Y4YY5YYYYYYYarray index0123456789101112131415161718192021222324countYYYYYYY6XYYY1Y2YY3YYYYYYYarray index0123456789101112131415161718192021222324countYYYYYYY4YYYY5Y6YYXYYYYYYYarray index0123456789101112131415161718192021222324countYYYYYYY1YYYY2Y3YYYYYYYYYYarray index0123456789101112131415161718192021222324countYYYYYYY4YYYY5Y6YYYYYYYYYYarray index0123456789101112131415161718192021222324countYYYYYYYXYYYY1Y2YYYYYYYYYYarray index0123456789101112131415161718192021222324countYYYYYYYYYYYY3Y4YYYYYYYYYYarray index0123456789101112131415161718192021222324countYYYYYYYYYYYY5Y6YYYYYYYYYYarray index0123456789101112131415161718192021222324countYYYYYYYYYYYYXY6YYYYYYYYYY

The element of index 14 is left.

The table uses X and Y for clarity. Your program should use only X.

What do you need to do?

Write the eliminate function in eliminate.c to print the index of the eliminated elements in order.

In the first example (n=6, k=3), the output is

2

5

3

1

4

0

In the second example (n=4, k=6), the output is

1

0

3

2

In the third example (n=25, k=7), the output is

6

13

20

2

10

18

1

11

21

5

16

3

15

4

19

9

0

23

22

24

8

17

7

12

14

The function is called eliminate, not select because select is a C function for communication. If you want to know the definition of the select function, search Linux manual select.

Testing: You are given the expected output for the three examples discussed above. Feel free to create more to test your program.

In the provided Makefile, you will use the diff command to compare between your output and the expected output.

The diff command: diff $YOUR_OUTPUT $EXPECTED_OUTPUT displays the differences between the two files line-by-line. When the two files are identical, diff will be silent.

Grading

You will receive zero if your program has error or warning from gcc.

The grading will be based on the test cases run by the teaching staffs. Your score is proportional to the number of test cases that your program passes. Passing means the program returns EXIT_SUCCESS and provides correct outputs that match the expected outputs.

Additional reading

A mathematical question is to determine which element is left without counting 1, 2, … If you are interested in this topic, please read the book Concrete Mathematics by Ronald L. Graham, Donald E. Knuth, and Oren Patashnik.

Is this a real problem? Is there any real application? Yes. In distributed systems (such as the Internet), sometimes different machines need to agree on something. For example, a group of machines want to find one representative for external communication.

History

This problem is inspired by the “Josephus problem”. History (based on Wikipedia): Flavius Josephus and 40 soldiers were trapped in a cave by Roman soldiers. They chose suicide over capture, and decided the order is determined by the following method: they form a circle and set an integer k greater than one. Then, the group starts with 1, 2, … The person that counts k is eliminated. The process continues until all are eliminated. The question is where Josephus should stand at the beginning so that he is the last remaining person.