Pt1420 Unit 2

Words: 1419

Pages: 6

Open Document

Task 1: (i) Based on this scenario, answer the following questions that are related to the mathematical understanding of the concept: (a) What is the domain and range of h(t)? What is the physical significance of domain and range in this scenario? The domain of h( )h(t) would typically be all real numbers, as time t can theoretically extend indefinitely in both directions. However, in this scenario, the domain might be restricted to non-negative values, as negative time values wouldn't make physical sense in the context of a bungee jump. The range of h( )h(t) would depend on the specific values of 0v0 and h0h0, but it would generally be all real numbers as well, representing the possible heights the bungee jumper could reach. The physical significance of the domain and range here is that they define the …show more content…
b) What is the vertex of the given height function, h(t) = -0.5t2 + v0t + h0? What does the vertex represent in this scenario? In the context of this scenario, the vertex represents the highest point/initial position that the bungee jumper starts from. This is the initial height above the river before the jumper starts falling. The h-coordinate of the vertex (0) represents the time at which the jumper starts falling, and the V-coordinate of the vertex (210) represents the initial height of the jumper above the river. The vertex also denotes the maximum height reached by the jumper during the jump. At this point, the jumper's velocity momentarily becomes zero, signifying the peak of the jump. The height at the vertex is at its maximum value, capturing the highest point attained

Pt1420 Unit 2

Question #2 Describe the scenarios when it would be preferable to use simulation instead of analytical models, and scenarios where it would be preferable to use analytical models instead of simulation. Give examples wherever appropriate. The question on whether to use analytical or simulation approaches has stemmed from the recent advances in computation. Before the advent of powerful computers, analytical approaches were often the only way to solve problems. But recent advances in computation have…

Words 1091 - Pages 5

Pt1420 Unit 2

Latino foster youth. The investigation was guided by three research questions: (1) To what extent do demographic factors, child welfare characteristics, SEB problems, mental health service use, and environmental context influence delinquent outcomes? (2) To what extent does race/ethnicity moderate the relationship between SEB problems and delinquent outcomes, controlling for demographic factors, child welfare characteristics, and environmental context? (3) To what extent does race/ethnicity moderate…

Words 718 - Pages 3

Pt1420 Unit 2 Essay

For the unit 2, I continued the reading of the book “Think Python, How to Think Like a Computer Scientist” by Allen Downey and I learned about variables, expressions and statements. I also continued learning about the history of computer technology by reading the chapter 3 and chapter 4 of the book “A history of the personal computer: the people and the technology”. From my readings, I learned that computers use different types of informations. For the programming language Python, some types to…

Words 619 - Pages 3

Pt1420 Unit 2 Assignment

of January we have two points (1, 10) and (31, 12) and in the month of February, we have two points (1, 10) and (28, 9). Since the formula to calculate a slope is: Slope (m) is (y2 - y1) / (x2 - x1) Slope for January is m = (12 - 10) / (31 - 1) m = 2/30 m = 1/15 Slope for February is m = (9 - 10) / (28 -1) m = -1/27 Hence, we are looking for a function of the form f(x) = mx + b. To determine m and b, we use the fact that a stock price goes from $10 to $12 from January 1st to January 31, and from…

Words 340 - Pages 2

Pt1420 Unit 2 Assignment

A. Introducing the Assignment Every summer I spend a lot of time solving Sudoku a “logic-based number placement puzzle” which is one of my favorite games. I was taught how to solve these mathematical puzzle games five years ago and since then it is a daily routine of mine. I soon realized that mathematics consisted a great part of my everyday life. Yet, I had never thought of the mathematical significance and specifically the logic and mathematical thinking involved when playing this game, something…

Words 2008 - Pages 9

Pt1420 Unit 2 Assignment

Did any of the ideas in the session surprise you? The idea that surprise is how children can open up by questions related to their daily lives. One of children favorite literacy exercise “All about me”. What might you do differently to promote parent involvement? There is not much different approaches that I can think of. Phone calls, emails, flyers, open communication, notes, meetings, assessments, letters to the parents. Lastly, teachers need to keep insisting, in a good way at the times, to…

Words 795 - Pages 4

Pt1420 Unit 2 Assignment

together evenly. The polynomials are: -(x+1.241)^5-2.149 using the limits {-2.149 ≤ y ≤ 0} (x-1.759)(1/4 (x-0.959)) (x+1.241)^2-2.149 using the limits {-1.241 ≤ x ≤ 0} x^3/10-1.5 using the limits {-1.5 ≤ y ≤ 0} When plotted, the curves will give a cross section of the pool. This cross section can be seen below in Figure 5. The blue section is Equation 1, the red is Equation 2, and the purple is Equation 3. Figure 6. Cross section of the designed pool. All of the points that can be seen on Figure…

Words 790 - Pages 4

Pt1420 Unit 2 Assignment

f(x)= (2x+4)/3 2. Switch the x and y variables around and to get the inverse function y=(3x-4)/2 Y= (2x+4)/3 Now she has to solve for X 1: Flip the equation. 2: Add (-4)/3 to both sides. 3: Divide both sides by 2/3. 1. Y= (2x+4)/3 2. 3y=2x+4 3. 3y-4=2x (3y-4)/2=X She now has "x =" so switch X AND Y FOR THE INVERSE y=(3x-4)/2 Solve x=6 (x=number of inches) y=(3x-4)/2 y=(3(6)-4/2 y=7 Neveah's hair would grow 6 inches in 7 months. (7 is the Y-intercept) 7=(3(6)-4)/2…

Words 98 - Pages 1

Pt1420 Unit 2 Study Guide

1. Maimouna is a girl who was told she would never have a husband or have a family of her own because she was diagnosed with aids. She was bashed by others because she has aids. This was heartbreaking to hear about. This girl has hopes and dreams of finding a husband and having a family of her own, but society was against her stating it will never happen because she has aids. Instead of having people around her to help her and support her through this tough experience, she was bashed and that is…

Words 708 - Pages 3

Pt1420 Unit 2 Individual Assignment

After going over our stories in class today, you can say group 2 is very diverse. What really stood out to me after listening to all of our stories is that; we all have parents or grandparents that have migrated to the United States from somewhere else. Additionally, we all have kind of the same support system behind us while we pursue our degrees. Alex is a 21-year-old student, whose drive has gotten her to accomplish her degree in 4 years. She comes from a mixture of backgrounds: Hawaiian, Italian…

Words 538 - Pages 3