Concept explainers
Temperature A mathematical model for the temperature in Fairbank is
Where
a. March
b. May
c. Day
d. Day
e. Find maximum and minimum values of
f. Find the period
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Calculus For The Life Sciences
- The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t)=3sin(t/4), where y is the displacement in feet and t is the time in seconds. Complete the table Use the table feature of a graphing utility to determine when the displacement is maximum. Use the table feature of the graphing utility to approximate the time t (0 < t < 8) when the weight reaches equilibrium.arrow_forwardAPPLICATIONS Shock Absorber When a car hits a certain bump on the road, a shock absorber on the car is compressed a distance of 6 in., then released see figure. The shock absorber vibrates in damped harmonic motion with frequency of 2 cycles per second. The damping constant for this particular shock absorber is 2.8. a Find an equation that describes the displacement of the shock absorber from its rest position as a function of time. Take t=0 to be the instant that the shock absorber is released. b How long does it take for the amplitude of the vibration to decrease to 0.5 in.?arrow_forwardOscillation of a Spring A ball that is bobbing up and down on the end of a spring has a maximum displacement of 3 inches. Its motion (in ideal conditions) is modeled by y=14cos16t,t0, where y is measured in feet and t is the time in seconds. (a) Graph the function. (b) What is the period of the oscillations? (c) Determine the first time the weight passes the point of equilibrium y=0.arrow_forward
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