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Given the factorial algorithm below.     a) Identify the base case. [2 points]       b) Identify the recursive case. [2 points]       c) Find factorial (6) by using the above algorithm. NOTE: show all your steps. [6 points]  

Your hamster has influenza caused by an H2N6 strain of the virus. Assume that you breathe in this strain, after you have already come in contact with an H4N5 strain. Both viruses go into the cells of your upper respiratory tract. During the viral replication cycle inside of your epithelial cells, genetic information for hemagglutinin antigen and for neuraminidase antigen are recombined into the created, new viruses. Your cells end up producing a new variant—H2N5. Predict what might happen as a result of this set of events.

“Rice-water stools” are associated with dysentery.

Give the first six terms of the following sequences. You can assume that the sequences start with an index of 1 a) A geometric sequence in which the first value is 5 and the common ratio is 8. [3 points] b) An arithmetic sequence in which the first value is 34 and the common difference is 5. [3 points] c)  Evaluate the summation [4 points]        ∑200k=0 (2 + 4k)

a) A locker combination is made up of five digits using only the digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. The combination must start with an even digit, follow the pattern even-odd-even-odd-even, and all digits must be distinct. How many such combinations are possible? [5 points]     b) A smoothie shop offers 5 types of fruits, and customers can choose any number of fruits in their smoothie, with repetitions allowed. How many ways are there to make a smoothie using exactly 12 pieces of fruit?      [5 points]

Susan plans on studying four different subjects (Math, Science, French, and Social Studies) over the summer. The summer is 100 days long, and Susan will study one of the four subjects each day. A schedule consists of a plan for which subject she will study on each day. (10 points)   a) How many ways can Susan plan her schedule if there are no restrictions on the number of days she studies each of the four subjects? [5 points]   b) How many ways can Susan plan her schedule if she decides that the number of days she studies each subject will be the same? [5 points]

A tree farmer plants five new trees on his farm at the end of each month. Let an​ denote the total number of trees he has after n months. Initially, he has a0=50 trees. a) What is a10​? [4 Points]   b) If the farmer spends $3 per month to maintain each tree, what is the total maintenance cost he has paid after 1 year (12 months)? Provide the closed-form mathematical expression for this amount (do not calculate the actual value).(Assume that he starts maintaining trees at the beginning of each month and includes all existing trees for that month.) [6 points]  

Suppose you have a sorted array of integers (3,7,12,15,18,21,27,33,39,42,50) and you want to implement the binary search algorithm given below to find the index of a target value x. For each target value x given below, give the values for variables low and high for each call to Binary Search. Then give the final return value.    a)  x=12 b) x = 32

Which of the following is a sign or symptom of meningitis?

The most common infectious disease in humans is ______.