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tara castro

tara c.

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Clearly explain the reason for the difference between the output of echo $HOME and echo \$HOME?      .

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1. In the pair of similar triangles, find the missing measures. Give exact answers rather than decimal approximations.

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Why do you think a higher diversity of species is critical for ecosystem functioning?

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Design the function (F) using 4 X 1 multiplexer knowing that F = \sum(1,2,6,7)

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The value of L is equal to the integral of 1 over the cube root of x with respect to x.

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O Price sensitivity is inversely related to a bond's coupon rate. O Price sensitivity is positively related to YTM. 4 O Duration is inversely related to a bond's coupon rate. O Duration generally increases as maturity increases.

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If the initial population y(0) starts out less than the smaller of the two equilibrium populations, which of the following is true? (You have only two submissions for this part. Use your submissions wisely!) The population will decrease and never recover. The population will increase to the equilibrium population. (incorrect) The population will stay at y(0). The population will decrease for a while, but then return to the equilibrium population.

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Question 2 (15 points) The following pseudocode describes how to turn a string containing a ten-digit phone number (such as "4155551212") into a more readable string with parentheses and dashes, like this: "(415)555- 1212". Take the string consisting of the first three characters and surround it with "(" and ")". This is the area code. Concatenate the area code, the string consisting of the next three characters, a hyphen, and the string consisting of the last four characters. This is the formatted number. Translate this pseudocode into a Python program that reads a telephone number into a string variable, computes the formatted number, and prints it

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Find the area under the graph of f over the interval [1,8]. $f(x) = \begin{cases} 2x+7, & \text{for } x \le 5\\ 42-\frac{5}{2}x, & \text{for } x > 5 \end{cases}$ The area is $oxed{}$ (Type an integer or a simplified fraction.)

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10. For these complexity problems, give the tightest possible complexity bounds for the given situation. Assume n is the size of some array, and that you are interested in how long an algorithm takes, time(n). Give your complexity estimates as $\Theta(g(n))$ if possible (big-Theta), or give $O(g(n))$ and $\Omega(g(n))$ otherwise (big-O and big-Omega). Also give a brief explanation for your choice. The first one is done for you. (Use clear reasoning, you don't need to write paragraphs here.) • Counting the number of null references in an array (best case) $O(n)$: The algorithm must examine n array locations in all cases. • Determining if there are at least 5 non-null objects in an array (best case) • Determining if there are at least 5 non-null objects in an array (worst case) • Determining if there are at least 5 non-null objects in an array (any case) • Determining if numbers in an array are in sorted order (any case)

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