Suppose that queue is an object of type queueType of size 50, queue contains 20 elements, and the index of the first element of queue is 35.

• After removing the next element from queue, what is the index of the first element?

Find dy/dx of y = e raised to (ln (x squared + 1)).

Evaluate each expression. a. 2^4 b. 5^3 c. 8.3^2 d. 1^9 e. 13^1 f. 56.8^0 g. 10^5 h. 100^2 i. 0^12 j. eleven squared k. one and three-tenths cubed l. seven squared times two cubed m. three to the fifth power n. four squared cubed

Calculate the root mean square velocity and kinetic energy of $CO, CO_2$, and $SO_3$ at 298 K. Which gas has the greatest velocity? The greatest kinetic energy? The greatest effusion rate?

$______$ 5. Contains bone and muscle

Identify each number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions will apply.) -4

$_____________________$ causes muscle spasms that constrict the bronchioles.

Suppose we have a repository of 1000 documents, and we wish to build an inverted index with 10,000 words. A block can hold ten word-pointer pairs or 50 pointers to either a document or a position within a document. The distribution of words is Zipfian; the number of occurrences of the $i$ th most frequent word is $100000 / \sqrt{i}$, for $i=1,2, \ldots, 10000$.

a) What is the averge number of words per document?

b) Suppose our inverted index only records for each word all the documents that have that word. What is the maximum number of blocks we could need to hold the inverted index?

c) Suppose our inverted index holds pointers to each occurrence of each word. How many blocks do we need to hold the inverted index?

d) Repeat (b) if the 400 most common words ("stop" words) are not included in the index.

e) Repeat (c) if the 400 most common words are not included in the index.

How is economic growth measured? Why is economic growth important? Why could the difference between a $2.5$ percent and a $3$ percent annual growth rate be of great significance over several decades?

Bird Migration Power P is the rate at which energy E is consumed per unit time. Ornithologists have found that the power consumed by a certain pigeon flying at velocity $v \mathrm{~m} / \mathrm{s}$ is described well by the function $P(v)=17 v^{-1}+10^{-3} v^3 \mathrm{~J} / \mathrm{s}$. Assume that the pigeon can store $5 \times 10^4 \mathrm{~J}$ of usable energy as body fat. (a) Find the velocity $v_{\text {pmin }}$ that minimizes power consumption.

Realtors use an index to compare housing prices in major cities. The housing price index values for several cities are given in the table below. Use the following formula to answer the question.

$$\underset{\text { (other town) }}{\text { price }}=\underset{\text { (your town) }}{\text { price }} \times \frac{\text { index of other town }}{\text { index in your town }}$$

$$\begin{array}{lc|lc} \text { City } & \text { Index } & \text { City } & \text { Index } \\ \hline \text { Atlanta } & 100 & \text { Las Vegas } & 115 \\ \text { Boston } & 146 & \text { Los Angeles } & 190 \\ \text { Chicago } & 105 & \text { Miami } & 161 \\ \text { Dallas } & 121 & \text { Phoenix } & 122 \\ \text { Denver } & 136 & \text { San Franciscol } & 172 \end{array}$$

For a house valued at $\$ 600,000$ in Boston, find out the price of a comparable house in Los Angeles.

Use Stokes’ Theorem to evaluate

$$\mathbf{F}(x,y,z)=(x+y^2-2)\mathbf{i}+2xy\mathbf{j}+(x^2+yz^2)\mathbf{k};$$

S is the part of the paraboloid z = 4 - x squared - y squared above the xy-plane with an outward normal

Suppose that queue is an object of type queueType of size 50, the index of the first element of queue is 7, and the index of the last element of queue is 25. Also suppose that num is a variable of type int.

a. How many elements are in queue?

b. Write the statement that assigns the first element of queue to num.

c. Write the statement that removes the first element of queue.

d. Write the statement that inserts 28 into queue.

Suppose that queue is an object of type queueType of size 50, queue contains 20 elements, and the index of the first element of queue is 35.

a. What is the index of the last element of queue?

b. After removing the next element from queue, what is the index of the first element?

c. Write the expression that returns true if queue is nonempty, false otherwise.

d. Write the statement that inserts "programming" into queue. What is the index of the last element after this insertion operation?