maximum heart rate for various ages. For this problem, use this model:  M=208−0.74⋅AM=208-0.74⋅A  M = Maximum Heart Rate in beats per minute A = age Q. For what age would the maximum heart rate be 168 bpm (assuming this equation applies at that time)?

Q: How can the mortality force be changed for the share of newborns who will survive the first year…

A: For yearly compounded,        P=P0 1+rnt   where,        n=1        and r=rate of changed…

Q: Suppose a 1000L tank contains 400 L of fresh water at time t = 0. At that time, a salt water…

A: The solution of above question is written below.

Q: 7. A 170kV 3 phase electric source delivers 200 MVA to a balanced load with pf of 90% lagging. What…

A:

Q: A small metal bar, whose initial temperature is 40°C, is dropped into a container of boiling water…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: The differential equation modeling population growth while incorporating the carrying capacity is =…

A: Given: Growth rate is 0.1 per year. Environmental limitation is of 4600 deer. Currently there are…

Q: If two gases have molar masses M1 and M2, Graham's law states that the ratio R of their rates of…

A:

Q: When time is measured in​ days, the decay constant for a particular radioactive isotope is 0.16.…

A: The equation for radioactive decay is N(t)=N0(e-λt), where N(t) is the new amount of isotope , N0is…

Q: A population of yeast cells can double in 6 hours. Assume an initial population of 4,000 cells.Write…

A:

Q: Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank…

A: Given: The amount of water at 3:56 PM is 10452 L and amount of water at 4:12 PM on same day  is 8092…

Q: e company wishes to produce both products, but not at equal portions. 60% X’s and 40% Y’s is desired…

A: Given that the company wishes to produce both products, but not in equal portions. 60% X’s and 40%…

Q: 4. A well-circulated pond contains 1 million L of water that contains a pollutant at a concentration…

A: circulated pound contains 1 million litre of water that contain important at the separation of 0.01…

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

A: It is given days half-life of polonium is 139 days. By the definition of half life, A139=12A0

Q: f (x) = y = x³ +x– 10 = 0

A: Using Newton raphson method.

Q: The amount of a radioactive isotope present at time t is given by A(t)=300e−0.0283t ​grams, where t…

A:

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A:

Q: A tank initially contains 400 gal of fresh water. At time t= 0, a brine solution with a…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: The amount remaining of a 162 mL sample of a liquid substance, y (in mg) after x hours is modeled by…

A:

Q: 5. Consider a scenario in which a 20ft tall lamppost lights up a street. (a) her shadow on the…

A: Given query is to y find the rate of change of length of the shadow.

Q: (d) If the ornithologists observe that birds of a certain species reach the shore at a point 3 km…

A:

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A:

Q: 2. Suppose a ball is thrown downward with an initial velocity of 3.00 m/s, instead of being dropped.…

A:

Q: In an extraction unit operating with continuous and counter current, 100 kg of kerosene-nicotine…

A:

Q: A 400 - V, 10 h.p (metric), 3 - phase synchronous armature resistance and a synchronous reactance of…

A: Solution...

Q: The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone,…

A: Given problem Given that

Q: A body of an unknown temperature is placed in a room which is held at a constant temperature of 30 .…

A: Given that, A body of an unknown temperature is placed in a room which is held at a constant…

Q: Based on historical data for population growth rates and the initial number of eagles present in a…

A: Topic-basic maths

Q: A scuba tank holds 2.6 ㎥ of compressed air. A diver at a shallow depth uses about 0.002 ㎥ per breath…

A: Total compressed air in scuba tank = 2.6 m^3 Compressed air used per breath is 0.002 m^3 Breath…

Q: a) a sample of iodine-131 has a weight of 3 mg and a half life of approximately 8 days.  how much of…

A:

Q: According to the ideal gas law, the pressure P, temperature T, and volume V of a confined gas are…

A: To find out the change in pressure using the differentials.

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: Given that  C = 0.001x3 + 3x + 432  To Find the number of units x that produces the minimum average…

Q: 5. Consider a scenario in which a 20ft tall lamppost lights up a street. (a) her shadow on the…

A:

Q: Given that bugs grow at a rate of 0.95 with a volume of 0.002. How many weeks would it take to fill…

A: Solution : given, Rate of bugs growing = 0.95 bug/second volume of a bug =0.002 unit I) number of…

Q: 1. A tank contains 80 gallons (gal) of pure water. A brine solution with 2 Ib/gal of salt enters at…

A: Given that, a tank contains 80 gallons (gal) of pure water. A brine solution with 2 lb/gal of salt…

Q: The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone,…

A: Solve the given problem

Q: Solve the initial- value problem:

A: We are given the Problem: ⇒dydx=cos x-sin x+y ⇒dy=(cos x-sin x+y)dx Now , integrating both sides, we…

Q: A certain population of bacteria is known to grow at a rate proportional to the amount present in a…

A: Solve for bacteria after 20 hrs

Q: Answer all of the points with formulas and full procedure.  Given the quation y = -2x+22 : a)…

A: (1) Given information: The given linear decay function is y=-2x+22. Definition: The linear decay…

Q: Consider a scenario in which a 20ft tall lamppost lights up a street. (a) A 5ft tall woman stands…

A: Length is a measure of distance. In the International System of Quantities, length is a quantity…

Q: Solve the initial value problem by using integration. g' (x) = , 9 (1) = 4 x+1 %3D

A:

Q: 2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant…

A: We know that , distance = velocity×Time

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A: This question is related to population growth, We will solve it using integration.

Q: A certain photoelectric devise is sensitive to wavelengths up to 940 nm. a. What is the frequency…

A:

Q: which 20 grams of salt is dissolved. Pure water is being pumped into the tank at a rate of 5…

A:

Q: The half-life of sodium-25 is 1.0 minutes.  Starting with 1.0 kg how much will remain after ½ hour.…

A:

Q: Suppose we have a pendulum clock that uses a slightly damped pendulum to keep time (that is, b is…

A: At first we will derive a direct relationship between θ and m then from that we will observe how θ…

Q: Solve the following initial value problem: y′ = ((ln x)^5)/(xe^y) with y(1) = 0

A:

Q: he​ half-life of polonium is 139​ days, but your sample will not be useful to you after 83​%of the…

A: The given data is: The​ half-life of polonium is 139​ days but your sample will not be useful to you…

Q: Consider a reservoir with a volume of 8 billion cubic feet (ft³) and an initial pollutant…

A: Given: Volume of the reservoir is 8 billion cubic feet, V=8×109 ft3 Now initial polutant V is,…

Q: A 100L-capacity tank initially holds 80L of fresh water. A brine solution is poured into the tank at…

A: A brine solution is poured into the tank at the rate of 4 L/hr, while the well-stirred mixture…

Q: The amount of decay of a certain radioactive element is given by -0.04t Yoe' where t equals time in…

A: The amount of decay of the radioactive element is given as follows. y=y0e-0.04t where t is the time…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.