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April 22nd, 2011, 09:28 PM  #1 
Newbie Joined: Apr 2011 Posts: 1 Thanks: 0  Some advanced precalculus questions
I got a bunch of homework. But these are the hardest. Others I could have some clues to solve, but for these I'm clueless. Please help 1) If f(x)=3sin x+4sin(x3) what is the amplitude and period (p) of f(x)? A) a= 1.114, p = 6.283 B) a= 1.114, p = 3.141 C) a =2.28, p= 3.141 D) a=7, p = 6.283 E) a= 7, p= 9.425 2)A Ferris wheel rider's height above the ground is given by the function h(t)= 20+18 cos [ (pi/4)* (t3)], where h is measured in feet and t in seconds. How much time is required for the Ferris wheel to complete 1 full revolution? A) 3 secs B) 8 secs C) 18 secs D) 20 secs E) 38 secs 3) The graph of the daily temperature at noon of a city is modeled by T= 25 cos [ (2pi/365) * (t30)] +70, where T represents the temperature in degrees Fareinheit and t represents the day of 365 day year. Whats the range of the temperature from low to high during the year? A) 25> 70 Celsius B) 3095 Celsius c) 4595 Celsius D) 3090 Celsius E) 3595 Celsius 4) If f(x)= sin x* sin (x), then which is the range of f(x)? A) [0,1] B) [1,0] C) [1,1] D) [1,0) E) (0,1] 5) Function D (t) = (4t)/ (0.01t square+5.1). Given the concentration, D, of a drug in bloodstream where D is measured in micrograms per milliliter and t is minutes from the time the drug is taken. What's the maximum concentration of the drug found in bloodstream at any time? A) 0.01 micrograms/ milliliters B) 4 micrograms/ milliliters C) 5.1 micrograms/ milliliters D) 8.856 micrograms/ milliliters E) 22.583 micrograms/ milliliters 
April 23rd, 2011, 04:36 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Some advanced precalculus questions
1.) We may use the identity Thus, amplitude is Period is 2.) The period is 3.) The range in degrees Fahrenheit is 4.) range is [1,0] 5.) Graphing shows D is the only answer which makes sense. I would use a technique from calculus to find the maximum is . 
April 23rd, 2011, 04:52 AM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: Some advanced precalculus questions Hello, belly! Quote:
[color=beige]. . [/color] [color=beige]. . [/color] MarkFL "eyeballed" the problem! . . . Great1 [color=beige] .[/color]  
April 23rd, 2011, 05:31 AM  #4  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: Some advanced precalculus questions Hello again, belly! Quote:
Since this is [color=blue]pre[/color]Calculus, MarkFL has the best approach . . . graphing. If we are allowed to use Calculus, we can directly determine the maximum concentration.  

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