Maximum and Minimum Temperature
In a 24-hour period, a human's body temperature will vary about 3 degrees. When at rest (usually at night), the body conserves heat and the body temperature drops.During activity (usually in the daytime), the body produces heat and the body temperature rises. This situation can be modeled by the periodic function
γ = 1.8 sin3 ((π/12)x - (π/2)) + 98.6
where y represents the body's temperature in degrees Fahrenheit and x represents time, with x=0 corresponding to 12 A.M.
1) Find the derivative of γ = 1.8 sin3 ((π/12)x - (π/2)) + 98.6.
2) Find the critical numbers of γ = 1.8 sin3 ((π/12)x - (π/2)) + 98.6 on the interval [0, 24].
3) During the course of a 24 hour period, at what time(s) is a human's body temperature greatest? During the course of a 24-hour period, at what time(s) is ahuman's body temperature least? What theorem did you use?
This was supposed to be a group activity, but I can't get anyone in my group to help me. I've been trying but I can't seem to get the right answers and I'm beyondstressed. I don't understand calculus, if someone could please point me in the right direction I appreciate it very much!
Homework Answers
In a 24-hour period, a human's body temperature will vary about 3 degrees. When at rest...
In a 24-hour period, a human's body temperature will vary about 3 degrees. When at rest (usually at night), the body conserves heat and the body temperature drops. During activity (usually in the daytime), the body produces heat and the body temperature rises. This situation can be modeled by the periodic function γ = 1.8 sin3 ((π/12)x - (π/2)) + 98.6 where y represents the body's temperature in degrees Fahrenheit and x represents time, with x=0 corresponding to 12 A.M....
(Differential Equations) A dead body was found in a house where he inside temperature was a...
(Differential Equations) A dead body was found in a house where he inside temperature was a constant 70 degrees Fahrenheit. At 12:00pm, the coroner arrived and measured the temperature of the body to be 85 degrees. One hour later, the temperature of the body had dropped to 80 degrees. a. Create a differential equation to model the temperature of the body as a function of time. b. Solve the IVP consisting of the DE in part a, and he intial...
Problem (1): Define the variable z as z -4.5; then evaluate (a) 0.4z'+3.12 -162.3z -80.7 (b)...
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II have posted this question yesterday, but no body answered it. Can somebody help me please...
II have posted this question yesterday, but no body answered it.
Can somebody help me please with these four questions. I apologies
because they are 4 but they all based on each other and cannot post
them separately. So I hope some body help me and really need #8
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You happen to find yourself employed as an expert mathematical consultant for a new Australian TV show called "Numer4ls". The producer wants an episode in which the lead character uses his mathematical skills to solve a murder mystery by accurately determining the time of death of the victim, which in this case will be made more complicated by a varying ambient temperature, and will therefore involve a lot of maths written in liquid chalk on glass panels, and some computer...
3) tx) = x2-2x - 3 A) minimum 1 D) minimum - 4 B) maximum: -4...
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please solve 17 for me thanks~~ :) ! temperature f(x) °C, where 5. f(x) = sin 0.1 x 6 f(x) = 4 - 08 |x - 5 7. fix) =x(1...
please solve 17 for me thanks~~ :) !
temperature f(x) °C, where 5. f(x) = sin 0.1 x 6 f(x) = 4 - 08 |x - 5 7. fix) =x(10 - x) 8 Arbitrarytemperatures at ends. If the ends x = 0 and x= Lof the bar in the text are kept at constant 20. CAS PROJECT. Isotherms. Fim solutions (tempe rature s) in the squa with a 2 satisfying the followin tions. Graph isotherms. (a) u80 sin Tx on...
ERASED PROJECT. Nova Skin - Minect lunch po m eni. 1426674 18 Profile | Minecraft Last...
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The amount of oxygen used by a house fly, at a steady temperature of 15°C, can...
The amount of oxygen used by a house fly, at a steady temperature of 15°C, can be compared to its oxygen use at a steady temperature to 25°C. Knowing that increased temperature leads to increased biochemical reaction rates, and that flies are an incredible collection of biochemical reactions, you might reasonably predict that the rate of oxygen consumption by the flies is going to be higher at 25°C than it was at 15°C. In fact, the rate of increase for...
Problem (1): Define the variable z as z -4.5; then evaluate (a) 0.4z'+3.12 -162.3z -80.7 (b) (z-23)/V2+17.5 Problem (2): The distance d from a point P(xp, yp,Zp) to the line that passes through two points 4(XA ,y,,2, ) and B(хв, Ув, zs) can be calculated by d-2S / r where r is the distance between the points A and B, given by r |(хв-%). (Yo-yA )4+ (Zg-2, )2 and S is the area of the triangle defined by the three...
II have posted this question yesterday, but no body answered it.
Can somebody help me please with these four questions. I apologies
because they are 4 but they all based on each other and cannot post
them separately. So I hope some body help me and really need #8
Ozone Decomposition: Ozone formation is faster during the day due to the action of sunlight on NO, molecules. Thus, Os() accumulates in the troposphere and its concentration peaks sometime in the...
You happen to find yourself employed as an expert mathematical consultant for a new Australian TV show called "Numer4ls". The producer wants an episode in which the lead character uses his mathematical skills to solve a murder mystery by accurately determining the time of death of the victim, which in this case will be made more complicated by a varying ambient temperature, and will therefore involve a lot of maths written in liquid chalk on glass panels, and some computer...
3) tx) = x2-2x - 3 A) minimum 1 D) minimum - 4 B) maximum: -4 maximum 1 Use the figure to solve the inequality. 1) f(x) < 0 g(x) = 0 ten ya 8(x) = f(x) A)(x-1<x<2): (-1,2) C) xxs-1 or 2):(--,-1or (2 ) B) x < -1 or 2): --.-1) or (-) D) I-1 sxs 25:-1,21 the western MULTIPLE CHOICE Choose Solve the problem 1) Suppose that ) -- 9 and 4 x - 13. (a) Solve fox)...
please solve 17 for me thanks~~ :) !
temperature f(x) °C, where 5. f(x) = sin 0.1 x 6 f(x) = 4 - 08 |x - 5 7. fix) =x(10 - x) 8 Arbitrarytemperatures at ends. If the ends x = 0 and x= Lof the bar in the text are kept at constant 20. CAS PROJECT. Isotherms. Fim solutions (tempe rature s) in the squa with a 2 satisfying the followin tions. Graph isotherms. (a) u80 sin Tx on...
ERASED PROJECT. Nova Skin - Minect lunch po m eni. 1426674 18 Profile | Minecraft Last Anime Go Tom's Anne Show Timer 7 4 1hcoter Maruf Uddict 4236363, 1ste unul Question Completion Status QUESTION 37 Thriving is best desobedare DA batch of baked cookies may trigger a desire to eat consequences of long term devede c. parades where adversity store well-being D ose restricting to one place and not her bed QUESTION 38 Musde dysmorphia is best described as Adisorder...
The amount of oxygen used by a house fly, at a steady temperature of 15°C, can be compared to its oxygen use at a steady temperature to 25°C. Knowing that increased temperature leads to increased biochemical reaction rates, and that flies are an incredible collection of biochemical reactions, you might reasonably predict that the rate of oxygen consumption by the flies is going to be higher at 25°C than it was at 15°C. In fact, the rate of increase for...
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