nt A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 70 – 0.15 cos 12 where t is the time in 24 hours measured from 5:00 a.m. What is the total basal metabolism of this man, R(t) dt, over a 24-hour period? kcal

Q: 1. Use a suitable substitution to evaluate , (G) dx. Give you answer correct to at least 2 decimal…

A: Substitution is done for the function whose derivative is present in the numerator.

Q: 4. A rock thrown vertically upward from the surface of the moon reaches a height of h = 8t – 0.8t2…

A:

Q: . During a rainfall, the depth of water in a rain gauge increases at a rate modeled by R(t) = 0.5 +…

A: Given:  dh(t)dt = R(t) = 0.5 + tcosπt380                                 (1) R(t) = rate of change…

Q: 15. The Voltage, v, of a simple electrical circuit slowly decreases as the battery wears out The…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 2) A triangle has a height that is increasing at a rate of 2 cm/sec and its area is increasing at a…

A:

Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. For a…

A: Given data is: B(t)=2.0+0.35 sin2πt3.7 (a) To find the rate of change of brightness at time t days.

Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

A: Given: s=2sinπt+5cosπt Average velocity is defined to be the change in position divided by the time…

Q: The horizontal distance or range (R) of an object thrown at an angle e from the horizontal is…

A:

Q: 5. A model for the basal metabolism rate, in kcal/hr, of a young man is R(t) = 85 – 0.18 cos | where…

A:

Q: nt A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 90 - 0.16 cos where t…

A:

Q: 5. The water level of a restricted tidal basin is modeled with the function h(t) = sin (t) + where…

A:

Q: (a) Suppose a stone is dropped from a height of 200 ft. Its position at time tis s(t)=-12t? +200…

A:

Q: A rock thrown vertically upward from the surface of the moon at a velocity of 28 m/sec reaches a…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: The figure shows a 10-foot ladder leaning against a wall. (a) Use the Pythagorean theorem to find an…

A:

Q: In a predator/prey model, the predator population is modeled by the function y = 800 cos(2t) + 6000…

A: y=800cos(2t)+6000(a) y'(t)=800×(-sin(2t))×2          =-1600sin(2t)      Suppose…

Q: The rate of growth of the population N(t) of a new city t years after its incorporation is estimated…

A: dNdt=900+300tdN = (900+300t)dtIntegrating both side∫dN = ∫900+300t12dtN = 900t + 300 t12+112+1+C =…

Q: 1. Att = 0, the tank contains 600 liters of water with 5 lbs of salt dissolved in it. Water goes…

A:

Q: 39. A population P, grows at the rate P'(t) = 5(t +1) In /t +1 %3D thousand individuals per year at…

A:

Q: nt A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 70 - 0.16 cos where t…

A: Given: Rt=70-0.16cosπt12 To determine: The total basal metabolism of this man.

Q: tower stands tall at 30ft. Person A walks away from the tower at a constant rate of 3ft/s. A…

A: We will solve the problem.

Q: A 2500-gallon tank initially contains 500 gallons of water with 6 pounds of salt dissolved in it.…

A: Let the amount of salt in tank at a time t is yt.   Given information capacity of tank = 2500 gallon…

Q: A tank initially holds 10 gal of fresh water. At t = 0, a brine solution containing ¼pounds of salt…

A:

Q: Use the differential to approximate the expression. Then use a calculator to approximate the​…

A: Solution: Differentiate the function  y=lnxdydx=1x The value of f(x+∆x) is given by…

Q: 15. The height above the ground of a Ferris wheel car is modelled with the equation h(t) = -15 cos +…

A: (a) The height is modeled by a cosine function and we know cos 0°= 1, cos 90° = 0 and cos 180° = -1…

Q: nt A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 85 – 0.16 cos 12 where…

A: see below the answer

Q: =) A cup of water with a temperature of 90°C is placed in a room with a constan temperature of 24°…

A: given T=90oC , To=24oC, dT=90-55=35oC , dT=15 min, dTdt=k(T-To)3515=k(90-24)73=66kk=73×66=7198k=7198…

Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. For a…

A: We have to find rate of change of the brightness after t days and 5days

Q: The horizontal distance or range (R) of an object thrown at an angle e from the horizontal is…

A:

Q: A bar is insulated at end x =0, and open to the ambient temperature at end x =2L. There is a heat…

A: The solution to the above question is in the images below.

Q: The water level of a restricted tidal basin is modeled with the function h(t) = sin (t) +} where one…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 4. A cherry pie with a temperature of 120°C was placed on a table to cool in a room of constant…

A:

Q: 10. The rate of growth of a population is given by r(t) = t+t cos() hundred per day. Has the…

A:

Q: The horizontal distance or range (R) of an object thrown at an angle 0 from the horizontal is…

A: Use differential

Q: Over a period of time, a hot object cools to the temperature of the surrounding air. This is…

A:

Q: The figure shows an 11-foot ladder leaning against a wall. (a) Use the Pythagorean theorem to find…

A: Answer

Q: 16. A particle moves along a line so that its velocity at time t is v(t) = sint (measured in meters…

A: Given query is to find the distance traveled.

Q: 2. During a rainfall, the depth of water in a rain gauge increases at a rate modeled by R(t) = 0.5 +…

A: Given: Rt=0.5+tcosπt380 We have to find that how much did the depth of water in the rain gauge…

Q: The horizontal distance or range (R) of an object thrown at an angle e from the horizontal is…

A:

Q: 1) A particle moves according the law of motion: (in image) a)  at what time does the particle have…

A: Given: A particle moves according to the law of motion and the position function is given by,…

Q: You are studying the impacts of rising sea levels on an estuary, and are modeling how the salinity…

A: Given that st=12sin3π25tcosπ25t+15St=14sin3π25tcosπ25t+17 Here S(t), s(t) gives the salinity level…

Q: You are studying the impacts of rising sea levels on an estuary, and are modeling how the salinity…

A: Given that: The historical data is: st=12sin3π25tcosπ25t+15. The current data is:…

Q: The horizontal distance or range (R) of an object thrown at an angle e from the horizontal is…

A:

Q: The displacement from equilibrium of a mass oscillating on the end of a spring suspended from a…

A: Given that The displacement from equilibrium of a mass oscillating on the end of a spring suspended…

Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

A: Given: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches g = 32…

Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that…

A: Given function, B(t)=3.1+0.25 sin 2πt5.3

Q: A stone is thrown vertically upward with a velocity of 96 ft/s from the top of a tower 112 ft nigh.…

A: Consider the given information as, v=96fts and h=112ft Now draw the figure as,

Q: An object is suspended from the end of a spring. Its displacement from the equilibrium position is s…

A: Solve the following

Q: A tank contains 240 liters of fluid in which 30 grams of salt is dissolved. Pure water is then…

A: We have to find the rate at which the number of grams of salt in the tank is changing at time t and…

Q: Vi Ice is forming on a pond at a rate of = Y inches dy dt 4 per day, where y represents the…

A: