The following quadratic function is given: f(t) = 5t - 7t + 25. i) ii) iii)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The following quadratic function is given: f(t) = 5t - 7t + 25. i) ii) iii) i) iv) Let g(t) = tf(t). Find g(t), then find the derivative of g(t) by using the rule of differentiation, and finally find g'(0). b) ii) iii) iv) ii) a) A soccer ball kicked up into the air is modelled by the following quadratic equation: y = 98t - 7t Use first principle to find the derivative of the function. where y shows feet above the ground t seconds after it is kicked. Find f(5) and f'(5). distance. Find the value of t when f'(t) = 25. Find the distance above the ground after 13 seconds. Find the value(s) of t when the ball is on the ground, i.e. y = 0. Graph the above equation on a pair of axes, showing all intercepts and the coordinates of the highest point reached by the ball. Find the time when it reaches the highest vertical distance and calculate this i) fencing wire. A farmer wants to put a fence around a rectangular paddock which is part of his block (see diagram below). Only three sides must be fenced since the fourth side is already fenced by his neighbour farmer as part of the border between the two blocks. The Farmer has 560 metres of fencing wire. X Already fenced x y Write an equation of the perimeter needing fencing with 560 metres of Write an equation for the area of the paddock only in terms of the side x. iii) Find the maximum area for the paddock if using only 560 metres of fencing wire for the three sides. The following quadratic function is given: f(t) = 5t - 7t + 25. i) ii) iii) i) iv) Let g(t) = tf(t). Find g(t), then find the derivative of g(t) by using the rule of differentiation, and finally find g'(0). b) ii) iii) iv) ii) a) A soccer ball kicked up into the air is modelled by the following quadratic equation: y = 98t - 7t Use first principle to find the derivative of the function. where y shows feet above the ground t seconds after it is kicked. Find f(5) and f'(5). distance. Find the value of t when f'(t) = 25. Find the distance above the ground after 13 seconds. Find the value(s) of t when the ball is on the ground, i.e. y = 0. Graph the above equation on a pair of axes, showing all intercepts and the coordinates of the highest point reached by the ball. Find the time when it reaches the highest vertical distance and calculate this i) fencing wire. A farmer wants to put a fence around a rectangular paddock which is part of his block (see diagram below). Only three sides must be fenced since the fourth side is already fenced by his neighbour farmer as part of the border between the two blocks. The Farmer has 560 metres of fencing wire. X Already fenced x y Write an equation of the perimeter needing fencing with 560 metres of Write an equation for the area of the paddock only in terms of the side x. iii) Find the maximum area for the paddock if using only 560 metres of fencing wire for the three sides.
Expert Answer:
Related Book For
Probability and Random Processes With Applications to Signal Processing and Communications
ISBN: 978-0123869814
2nd edition
Authors: Scott Miller, Donald Childers
Posted Date:
Students also viewed these mathematics questions
-
3. At what point in the PDSA cycle will you be looking for any negative effects because of the change? Plan Do Study Act
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
1-Is it a good business strategy to have a day care center, Harley Davidson Motorcycle Dealership Sales and repair, Namaste Yoga studio, bookstore, temporary worker (day laborer) center, state prison...
-
Kanata Nurseries Inc. produces poinsettias and fruit trees in a greenhouse/nursery operation. The following information was provided for the coming year. A sales commission of 3 percent of sales is...
-
Define 'accounting' and identify the separate questions raised by the definition?
-
What do the terms 2/10, n/30 mean?
-
Multiple Choice Questions 1. Walters, an individual, received the following in 2016: W-2 income .........................................................................$10,000 Federal tax refund for...
-
Y Click to view page 1 of the table. Click to view page 2 of the table. ard Normal Table (Page 1) - X GATIVE Z Scores Standard Normal Table (Page 2) 0.85 POSITIVE z Scor Standard Normal (z)...
-
Ivanhoe Company ended its fiscal year on July 31, 2020. The company's adjusted trial balance as of the end of its fiscal year is as follows. Ivanhoe Company Adjusted Trial Balance July 31, 2020 No....
-
Given is the Income Statement for the year ended December 31, 20XX, Statement of Retained Earnings for the year ended December 31, 20XX and Comparative Balance Sheets for 20XW and 20XX of Maris...
-
On December 3 1 , 2 0 2 4 , the Stride well Wholesale Shoe Company sold land in exchange for a nine - month, 1 2 % note. The note requires the payment of $ 2 0 0 , 0 0 0 plus interest on September 3...
-
How you can use strategic alliances to respond to external trends and support diversification and economies of scale in the healthcare industry for a patient access center ( call center )? As a...
-
Calculate the P/E ratios for both companies. (Round answers to 1 decimal place, e.g. 18.4)
-
Solve the equation for exact solutions. arcsin y 6 3
-
In 2024, the Westgate Construction Company entered into a contract to construct a road for Santa Clara County for $10,000,000. The road was completed in 2026. Information related to the contract is...
-
ou are an organizational consultant who has been asked to selectan achievement test and an intelligence test to administer to applicants seeking employment at a sporting goods retail company. In...
-
B made an issue of 150,000 $1 ordinary shares at a premium of 20% the proceeds of which is received by cheque. What is the correct journal to record this? A. Bank Share capital Share premium B. Bank...
-
(Adapted from the mini-game Hide and Go Boom from Nintendos Mario Party 4) In this game, 1 player competes against 3 other players. Players 2, 3, and 4 independently select one of four slots...
-
Suppose we are interested in finding the left tail probability for a random variable, X. That is, we want to find Pr (X xo). Rederive an expression for the Chernoff bound for the left tail...
-
Let X (t) be a wide sense stationary random process that is ergodic in the mean and the autocorrelation. However, X (t) is not zero- mean. Let Y (t) = CX (t), where C is a random variable independent...
-
Do you think that people give primarily for altruistic reasons or in order to receive benefits for themselves, including warm feelings, recognition, and social approval? Might the motivations differ...
-
The Corcoran Gallery of Art was established by Washington, DC, businessman William Wilson Corcoran, an early collector of contemporary American art. The gallery was opened in 1874 in a building that...
-
Hull House was founded in Chicago in 1889 by Jane Addams and Ellen Gates Starr, with the purpose of serving Chicago's immigrants and helping the city's poorest citizens improve their lives. Hull...
Study smarter with the SolutionInn App