Calculus: Graphical, Numerical, Algebraic, 3rd Edition Answers Ch 3 Derivatives Ex 3.4
Calculus: Graphical, Numerical, Algebraic Answers
Chapter 3 Derivatives Exercise 3.4 1E
Chapter 3 Derivatives Exercise 3.4 1QR
Chapter 3 Derivatives Exercise 3.4 2E
Chapter 3 Derivatives Exercise 3.4 2QR
Chapter 3 Derivatives Exercise 3.4 3E
Chapter 3 Derivatives Exercise 3.4 3QR
Chapter 3 Derivatives Exercise 3.4 4E
Chapter 3 Derivatives Exercise 3.4 4QR
Chapter 3 Derivatives Exercise 3.4 5E
Chapter 3 Derivatives Exercise 3.4 5QR
Chapter 3 Derivatives Exercise 3.4 6E
Chapter 3 Derivatives Exercise 3.4 6QR
Chapter 3 Derivatives Exercise 3.4 7E
Chapter 3 Derivatives Exercise 3.4 7QR
Chapter 3 Derivatives Exercise 3.4 8E
Chapter 3 Derivatives Exercise 3.4 8QR
Chapter 3 Derivatives Exercise 3.4 9E
Chapter 3 Derivatives Exercise 3.4 9QR
Chapter 3 Derivatives Exercise 3.4 10E
Chapter 3 Derivatives Exercise 3.4 10QR
Chapter 3 Derivatives Exercise 3.4 11E
Chapter 3 Derivatives Exercise 3.4 12E
(d) The horse is running the fastest during the last furlong (between 9th and 10th furlong markers). This furlong takes only 11 seconds to run, which is the least amount of time for a furlong.
(e) The horse accelerates the fastest during the first furlong (between markers 0 and 1) because horse starts with zero speed and reaches to a great speed so the rate of change of speed is largest during the first furlong.
Chapter 3 Derivatives Exercise 3.4 13E
Chapter 3 Derivatives Exercise 3.4 14E
Chapter 3 Derivatives Exercise 3.4 15E
Chapter 3 Derivatives Exercise 3.4 16E
Chapter 3 Derivatives Exercise 3.4 17E
Chapter 3 Derivatives Exercise 3.4 18E
Chapter 3 Derivatives Exercise 3.4 19E
Chapter 3 Derivatives Exercise 3.4 20E
Chapter 3 Derivatives Exercise 3.4 21E
Chapter 3 Derivatives Exercise 3.4 22E
Chapter 3 Derivatives Exercise 3.4 23E
Chapter 3 Derivatives Exercise 3.4 24E
Chapter 3 Derivatives Exercise 3.4 25E
Chapter 3 Derivatives Exercise 3.4 26E
Chapter 3 Derivatives Exercise 3.4 27E
Chapter 3 Derivatives Exercise 3.4 28E
Chapter 3 Derivatives Exercise 3.4 29E
Chapter 3 Derivatives Exercise 3.4 30E
Chapter 3 Derivatives Exercise 3.4 31E
In the given figure graph C is position, graph A is velocity and graph B is acceleration. Because A is the derivative of C as we see that it is positive, negative and zero where C is increasing, decreasing and has horizontal tangents, respectively. The relationship between B and A is similar.
Chapter 3 Derivatives Exercise 3.4 32E
Chapter 3 Derivatives Exercise 3.4 33E
Chapter 3 Derivatives Exercise 3.4 34E
Chapter 3 Derivatives Exercise 3.4 35E
Chapter 3 Derivatives Exercise 3.4 36E
Chapter 3 Derivatives Exercise 3.4 37E
Chapter 3 Derivatives Exercise 3.4 38E
Chapter 3 Derivatives Exercise 3.4 39E
Chapter 3 Derivatives Exercise 3.4 40E
Chapter 3 Derivatives Exercise 3.4 41E
Chapter 3 Derivatives Exercise 3.4 42E
Chapter 3 Derivatives Exercise 3.4 43E
Chapter 3 Derivatives Exercise 3.4 44E
Chapter 3 Derivatives Exercise 3.4 45E
Chapter 3 Derivatives Exercise 3.4 46E
Chapter 3 Derivatives Exercise 3.4 47E
Chapter 3 Derivatives Exercise 3.4 48E
Chapter 3 Derivatives Exercise 3.4 49E
Chapter 3 Derivatives Exercise 3.4 50E
