Earth’s atmospheric pressure p is oftenmodeled by assuming that the rate dp/dh at which p changeswith the altitude h above sea level is proportional to p. Supposethat the pressure at sea level is 1013 millibars (about 14.7 poundsper square inch) and that the pressure at an altitude of 20 km is90 millibars. What is the atmospheric pressure at h = 50 km?

Q: At a temperature of 20°C, the volume V (in liters) of 1.33 g of o, is related to its pressure p (in…

A: NOTE: Refresh your page if you can't see any equations. . on the interval [8,11], the average rate…

Q: According to the Stefan-Boltzmann Law, the thermal radiation energy emitted (per unit time) by a hot…

A:

Q: A rectangle has width w inches and height h inches, where the width is twice the height. Both w and…

A: It is given that, a rectangle has width w inches and height h inches, where the width is twice the…

Q: If l represents the intensity of light which has penetrated water to a depth of x feet, then the…

A:

Q: When the annual rate of inflation averages 5% over the next 10 years, the approximate cost C of…

A: Consider the approximation cost of goods. Ct=p1.05t Rate of change of C=dCdt. So, Differentiate the…

Q: A thermometer is taken from a room where the air temperature is 60 ° F, to the outside where the…

A:

Q: The rate (in mg carbon/m°/h) at which photosynthesis takes place for a species of phytoplankton is…

A:

Q: Assume that the rate of change of air pressure with altitude (distance above the earth) is…

A: Topic:- Differential equation

Q: Suppose you drive your car on a perfectly flat road at a constant speed with no wind. In this case,…

A: As given in the question, The amount of fuel is directly proportional to the distance Travelled. ⇒y…

Q: For a certain animal, the surface area S of the body is related to the body's weight W according toS…

A: The surface area S of the body is related to the body's weight W according to S is:

Q: estimated using the total mass of the fetus by the function b = 0.22m0.87, where m is the mass of…

A:

Q: 5. Find the instantaneous rate of change of the value function V in terms of t and N(t).

A: To find the instantaneous rate of change of the value function V in terms of N we will find dVdN…

Q: Use the fact that the world population was 2560 million in 1950 and 3040 million in 1960 to model…

A:

Q: 'ind the average rate of change of h(t) = 3 c on t-3 [1,1+ h]

A: Topic:- calculus

Q: A person's Body Mass Index is I = ", where W is the body weight (in kilograms) and H is the body…

A: Given Body mass Index   I=WH2

Q: (a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i)…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: If q'(t) is the growth rate of a population of a fish population in fish per month, what does…

A:

Q: The edge of a square is increasing at the rate of 3 cm / sec. At what rate is the area of the square…

A: Here is the question of application of derivatives So here let's assume that, Side of square = x…

Q: As part of the process in the production of a perfume, a certain substance with water is converted…

A: We have to formed a differential equation and solve it get amount converted or amount left

Q: If ω'(t) is the rate of growth of a child in pounds per year,what does  ∫510 ω'(t)  dt   represent?

A:

Q: The rate of change of the male population of a particular barangay is proportional to the male…

A:

Q: The radius of a sphere decreases at the rate of 4 m/s. when the radius is 10m, then the rate of…

A: We will find the rate of change in surface area as following .

Q: considering that the rate of decay is proportional to the cube of the material

A: When a proportionality sign is removed the constant is applied with the equal sign.

Q: For a certain animal, the surface area S of the body is related to the body's weight W according to…

A: The surface area S of the body related to the body's weight W is given by S=kW2/3…

Q: Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t)…

A: Given, C’(t) = kC(t) We have to calculate the concentration at time t also calculate the time when…

Q: The population of a country doubles in 50 years. How many years will it be five times as much?…

A: We will find in how many year the population of country will be five times as shown below

Q: (a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i)…

A:

Q: hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t…

A: In this question, the concept of the average rate of change is applied. The average rate of change…

Q: 5. For a substance C, the timę rate of conversion iş proportional to the square of the

A:

Q: from the edge of a cliff into described by the function ht rate of change in the height - 4.9t² +…

A: Formula average height change=(h(b)-h(a))/(b-a) Where a=4second b=5second

Q: (a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i)…

A:

Q: The population of Barangay Siksikan is increasing at a rate of proportional to its current…

A: given: The population of Barangay Siksikan is increasing at a rate of proportional to its current…

Q: What is the instantaneous rate of change of the secant function at ? O 2√3 02 0²/0 113 O 03/13 28

A: Solution

Q: ) Greenland had a population of 55000 in 1980 and a population of 78000 in 1990. Assume that the…

A:

Q: 2. The kinetic energy (E) of a moving object is directly proportional to the square of its velocity.…

A:

Q: Find the average rate of change of h(x) = x + 4x + 11 on the interval -1, 3]. O 15 60 O 51 -15 -5

A: Consider the following function: hx=x3+4x2+11 Average rate of change of hx on the interval -1,3:…

Q: The radius of a sphere decreases at the rate of 5 m/s. when the radius is 6m, then the rate of…

A: First I have written about rate of decrease in radius and then written the formula of Surface Area…

Q: If g'(x) is the rate of growth of a giant redwood tree in feet per year, what does (see picture)…

A: solution is given below

Q: At a temperature of 20°C, the volume V (in liters) of 1.33 g of O2 is related to its pressure p (in…

A: Vp=1p

Q: Please answer the attached question. Thanks a lot

A: Given that the volume V is inversely proportional to the pressure P on the gas.The mathematical…

Q: A culture initialy has N mumber of bacteria. At t = 1 hour the mumber of bacteria is measured to be…

A: Let N be the number of bacteria at time t. The rate of increase which is proportional to N = dNdt…

Q: Suppose a block of metal heated to 250°F and then brought into a room that is at 90 ° F at 5 pm. At…

A:

Q: With an initial deposit of 400 dollars, the balance in a bank account after t years is…

A:

Q: At a temperature of 20°C, the volume V (in liters) of 1.33 g of O2 is related to its pressure p (in…

A:

Q: 4 P = R What is the rate of change of power with respect to resistance? rate of change = Viohm?

A: Given problem:- The power, P, dissipated when a 2-volt battery is put across a resistance of R ohms…

Q: The radius of a sphere decreases at the rate of 5 m/s. when the radius is 10m, then the rate of…

A:

Q: It is known that the kinetic energy, KE, of a moving object is directly proportional to its mass, m,…

A:

Q: Q.3. The rate at which a body cools is proportional to the difference between the temperature of…

A:

Q: 2. The population of a country doubles in 50 years. How many years will be 5 times as much? Assume…

A:

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.