3. A team of programmers is trying to determine the efficiency of a piece of code. They run the code with inputs of different sizes and also record the number of iterations through the core block of code. The data is recorded in the table below.

Answer:

The algorithm's runtime has been divided into two main categories are given below.

Explanation:

Then maybe we can easily see by the information collected that perhaps the algorithm is increasing at either the frequency of 20×n. At which, across every iteration, n seems to be the input dimension. This suggests that perhaps the runtime specified seems to be of a polynomial category, therefore means that even this technique executes within a rational period.

Reasonable and unreasonable algorithm is differentiated based on the growth rate of the iterations as input is increased. Since the algorithm does not grow exponentially, then we can conclude that the algorithm runs in a reasonable time.

Evaluating the mathematical function which models the growth rate of the algorithm as the number of input is increased ;

200 = 10k ; k = constant of proportionality

k = 200/10

k = 20

Thus, the function which models the number of iterations is :

Since, the iteration does not grow exponentially, then it runs in a reasonable time.

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c. Summarize the three main poin
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(1) For centuries, art scholars have studied the renowned works of Leonardo da Vinci, the Renaissance artist, pondering how he created three-dimensional figures with such depth on flat canvases. (2) If da Vinci did have exotropia, in which an eye turns outward, he would not have been the only artist in history with that condition.

(3) Christopher Tyler, a visual neuroscientist at City University of London, noticed a pattern in da Vinci’s portraits and in works depicting the great artist. (4) While few self-portraits of da Vinci exist, Tyler argues that many of da Vinci’s portraits reflect his appearance. (5) As the great artist himself said, the soul “guides the painter’s arm and makes him reproduce himself, since it appears to the soul that this is the best way to represent a human being.”

(6) To test his theory that da Vinci had exotropia, Tyler studied the eye alignments of the subjects of six pieces of art that purportedly depict the Renaissance artist himself, including da Vinci’s Vitruvian Man and Salvator Mundi and Andrea del Verrocchio’s sculpture David. (7) The results confirmed Tyler’s suspicions: da Vinci likely had exotropia, with one eye turning out at -10.3 degrees.

(8) Tyler’s findings, which he published in JAMA Ophthalmology, created a stir in both the art and science communities. (9) Only about 1 percent of the population has exotropia, yet previous studies have suggested that other famous artists—like Rembrandt, Picasso, and Degas—had it as well, which indicates that the eye condition was more common in centuries past than it is now. (10) Tyler believes that da Vinci’s condition was intermittent—that is, his eye drifted out of alignment when he was relaxed, but when he focused, it would realign. (11) If Tyler is right and da Vinci could control his exotropia, then the artist could switch from 2-D to 3-D vision, enhancing his ability to accurately capture three-dimensional figures on a two-dimensional canvas.

The writer is working on a revision of the passage and has written the following thesis statement for it.
Based on the evidence from Tyler’s studies, it is clear that this condition was the primary reason for da Vinci’s success.

Which of the following is most likely the main claim that the writer is planning to make in the new version of the passage?

The only way for an artist to be successful is to have exotropia.
A

Da Vinci was more successful as an artist than others who also had exotropia.
B

Studying just a few works of art can provide compelling information about an artist’s physical conditions.
C

The only way to fully understand an artist’s work is to study the artist’s physical conditions.
D

Da Vinci was a great artist because he had exotropia.
E


Is it E?

15 pts

(1) For centuries, art scholars have studied the renowned works of Leonardo da Vinci, the Renaissance artist, pondering how he created three-dimensional figures with such depth on flat canvases. (2) If da Vinci did have exotropia, in which an eye turns outward, he would not have been the only artist in history with that condition.

(3) Christopher Tyler, a visual neuroscientist at City University of London, noticed a pattern in da Vinci’s portraits and in works depicting the great artist. (4) While few self-portraits of da Vinci exist, Tyler argues that many of da Vinci’s portraits reflect his appearance. (5) As the great artist himself said, the soul “guides the painter’s arm and makes him reproduce himself, since it appears to the soul that this is the best way to represent a human being.”

(6) To test his theory that da Vinci had exotropia, Tyler studied the eye alignments of the subjects of six pieces of art that purportedly depict the Renaissance artist himself, including da Vinci’s Vitruvian Man and Salvator Mundi and Andrea del Verrocchio’s sculpture David. (7) The results confirmed Tyler’s suspicions: da Vinci likely had exotropia, with one eye turning out at -10.3 degrees.

(8) Tyler’s findings, which he published in JAMA Ophthalmology, created a stir in both the art and science communities. (9) Only about 1 percent of the population has exotropia, yet previous studies have suggested that other famous artists—like Rembrandt, Picasso, and Degas—had it as well, which indicates that the eye condition was more common in centuries past than it is now. (10) Tyler believes that da Vinci’s condition was intermittent—that is, his eye drifted out of alignment when he was relaxed, but when he focused, it would realign. (11) If Tyler is right and da Vinci could control his exotropia, then the artist could switch from 2-D to 3-D vision, enhancing his ability to accurately capture three-dimensional figures on a two-dimensional canvas.

The writer is working on a revision of the passage and has written the following thesis statement for it.
Based on the evidence from Tyler’s studies, it is clear that this condition was the primary reason for da Vinci’s success.

Which of the following is most likely the main claim that the writer is planning to make in the new version of the passage?

The only way for an artist to be successful is to have exotropia.
A

Da Vinci was more successful as an artist than others who also had exotropia.
B

Studying just a few works of art can provide compelling information about an artist’s physical conditions.
C

The only way to fully understand an artist’s work is to study the artist’s physical conditions.
D

Da Vinci was a great artist because he had exotropia.
E


Is it E?

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