Halley's law states that the barometric pressure (in inches of mercury) at an altitude of x mi above sea level is approximated by the equation below. p(x) = 29.92e−0.2x    (x ≥ 0) If the barometric pressure as measured by a hot-air balloonist is 19 in. of mercury, what is the balloonist's altitude? (Round your answer to two decimal places.)

Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive…

A:

Q: The volume of a spherical cancerous tumor is given by the following equation. v(r) = If the radius…

A: take the derivative with respect to r

Q: Because of job outsourcing, a western Pennsylvania town predicts that its public school population…

A: Given,

Q: a weight is bouncing up and down on a spring with height h(feet) after t seconds, given by h(t)=…

A:

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a…

A:

Q: A particle that moves along a straight line has velocity v(t) = t'e-2t meters per second after t…

A:

Q: a ball is thrown straight upwards from a tower (40 feet high) so that its position, s in feet, at…

A:

Q: A model for the growth rate of tumor, known as the Gompertz Tumor Growth is given by the following…

A:

Q: A manufacturer can produce 5130 cell phones when x dollars is spent on labor and y dollars is spent…

A:

Q: A cola vending company estimates that their cola will be consumed by people at a rate given by: C…

A: Topic = Algebra

Q: The volume of a spherical cancerous tumor is given by the following equation. V(r)= (4/3) pi r^3 If…

A: Given that: Volume of tumor: V = 43πr3Radius of tumor, r=1.1cmError in measuring tumor, dr = 0.005…

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a…

A: use simple velocity,acceration,and distance formula.

Q: The temperature in a laboratory is maintained at 20°C. A warm bath is left to cool down and the rate…

A:

Q: The derivative of a function F(x) is f(x)=4x3. If F(x)= 10, what is the constant of integration? a.…

A: Topic:- function And its antiderivative

Q: A population of 500 bacteria is introduced into a culture and grows in number according to the…

A: Given: pt=5001+4t50+t2 we know that population growing rate is given by differentiation of given…

Q: Suppose a particle’s position is given by f (t) = −2 / t, where t is measured in seconds and f (t)…

A: Given: ft=-2t

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 95e¬0.02t…

A:

Q: 1. If a stone is thrown vertically upward frosthe surface of the moon with a velocity of 10 meters…

A: Follow the procedure given below.

Q: A car is moving at a constant acceleration of 3.6 m/s away from a tree. Atr= 0, the car is 11 m away…

A:

Q: 1. The rate of change and when 0,xo = 3 t= when =47 is proportional to When What is the value of t =…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: comparing the surface area of a sphere with its volume and assuming that air resistance is…

A: We will solve the following.

Q: The curved. surface of a rod of length (l) is against the flow of heat. If bot of ends of the rod…

A: Given heart equation is ∂2u∂x2=1c2∂u∂t Since c2=1 So heat equation will be ∂u∂t=∂2u∂x2…

Q: The linear attenuation coefficient of water is 0.206/cm at 60keV. In a CT image, two tissues differ…

A: Given: The coefficient of water (μx0)is 0.206/cm.

Q: A model for the growth rate of tumor, known as the Gompertz Tumor Growth is given by the following…

A: The volume of the region can found by integrating. The integration is dependent upon the function…

Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive…

A:

Q: For a person at rest, the velocity v (in liters per second) of air flow into and out of the lungs…

A: Explained below

Q: When the Covid-19 vaccine is injected into a muscle, the muscle responds by contracting. The amount…

A: our objective is to find the concentration.

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A:

Q: A population of bacteria is growing according to the equation   P(t)=1550e^0.06t, where t is the…

A:

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A:

Q: If a rock is thrown vertically upward from the surface ofMars with velocity 15 m/ s  , its height…

A: Given that a rock is thrown vertically upward from surface of Mars with velocity 15 m/s. Its height…

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

A: Given query is to find the amount of oil leaked in one  hour.

Q: The pressure of 1 mole of an ideal gas is increasing at a rate of 0.05 kPa/s and the temperature is…

A: Given equation is PV=8.31T Also given that, dTdt=0.21dPdt=0.05P=17T=304 So,…

Q: This question is designed to be answered with a calculator. An object's velocity is given by v(t) =…

A: Given,          An object's velocity is given by vt=0.5t+3t-1t-52 , where t is time,          in…

Q: When a vertical beam of light passes through a transparent medium, the rate at which its intensity I…

A:

Q: An object is thrown upward at a speed of 70 feet per second by a machine from a height of 13 feet…

A:

Q: The position of a particle, with respect to an initial point, after t seconds is given by the…

A:

Q: The equation of motion of a mass is given as: y = (0.51)e 0.-(0.01)e0.2, where y is the displacement…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: 4. The position of an object at time t is given by x = 34f - 8t + 2, where x is in feet and t is in…

A:

Q: The velocity, v m/s of a ball thrown directly up in the air is given by ? = 20 − 10?, where t is the…

A: Soln :-         V = 20-10t            The time (t) when V is between 5 and 15 m/s.…

Q: Q.4 Suppose that electricity is draining from a capacitor at a rate that is proportional to the…

A:

Q: In 2011, an earthquake with magnitude 9.0 on the Richter scale was recorded off the east coast of…

A:

Q: A model for the growth rate of tumor, known as the Gompertz Tumor Growth is given by the following…

A: The volume of the region can found by integrating. The integration is dependent upon the function…

Q: A thermometer is taken out of a room at 64 ° F, outside where the temperature is at 8 ° F. After…

A:

Q: A ball is thrown upward from a height of 4.6 m at an initial speed of 48 m/sec. Acceleration…

A:

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A: Given : pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of amole…

Q: A particle that moves along a straight line has velocity v(t) = t?e meters per second after t…

A: The displacement -velocity -time equation is given by, dsdt=v(t) The displacement during the first t…

Q: The equation of motion of a mass is given as: y= (0.51)e 0.-(0.01)e.2. where y is the displacement…

A: The Newton-Raphson method uses the formula: tn+1=tn-f(tn)f'(tn) to perform the iterations and to…

Q: A manufacturer can produce 4320 cell phones when a dollars is spent on labor and y dollars is spent…

A:

Q: A manufacturer can produce 5130 cell phones when x dollars is spent on labor and y dollars is spent…

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.