Graphs of the position functions of two particles are shown, where t is measured in seconds. (a) 1 When is the particle in figure (a) speeding up? (Enter your answer using interval notation.) (0,1) U (3,00) x When is the particle in figure (a) slowing down? (Enter your answer using interval notation.) (b) When is the particle in figure (b) speeding up? (Enter your answer using interval notation.) When is the particle in figure (b) slowing down? (Enter your answer using interval notation.)

Graphs of the position functions of two particles are shown, where t is measured in seconds. (a) 1 When is the particle in figure (a) speeding up? (Enter your answer using interval notation.) (0,1) U (3,00) x When is the particle in figure (a) slowing down? (Enter your answer using interval notation.) (b) When is the particle in figure (b) speeding up? (Enter your answer using interval notation.) When is the particle in figure (b) slowing down? (Enter your answer using interval notation.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.2: Graphs

Problem 23E: Magazine Circulation: The circulation C of a certain magazine as a function of time t is given by...

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Magazine Circulation: The circulation C of a certain magazine as a function of time t is given by the formula C=5.20.1+0.3t Here C is measured in thousands, and t is measured in years since the beginning of 2006, when the magazine was started. a. Make a graph of C versus t covering the first 6 years of the magazines existence. b. Express using functional notation the circulation of the magazine 18 months after it was started, and then find that value. c. Over what time interval is the graph of C concave up? Explain your answer in practical terms. d. At what time was the circulation increasing the fastest?. e. Determine the limiting value for C. Explain your answer in practical terms.
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Growth of North Sea Sole The length of North Sea sole, a species of fish, can be determined using the von Bertalanffy model by the formula L=14.819.1060.631t. Here t is age, in years, and L is length, in inches. a. Make a graph L versus t. Include values of t from 1 to 10 years. b. Use functional notation to express the length of a 4-year-old sole, and that calculate that value. c. At what age will a sole be 10 inches long? d. What is the limiting length for a North Sea sole?
Reaction Rates In a chemical reaction, the reaction rate R is a function of the concentraton of the product of the reaction. For a certain second-order reaction between two substances, we have the formula R=0.01x2x+22. Here x is measured in moles per cubic meter and R is measured in moles per cubic meter per second. a. Make a graph of R versus x. Include concentrations up to 100 moles per cubic meter. b. Use functional notation to express the reaction rate when the concentration is 15 moles per cubic meter, and then calculate hat value. c. The reaction is said to be in equilibrium when the reaction rate is 0. At what two concentratoins is the reaction in equilibrium?