The concentration of a drug in an organ at any time t (in seconds) is given by x (t)= 0.07 +0.14 (1-e-0-037t where x (t) is measured in grams per cubic centimenter in g/cm3 , If the initial conc of the drug in the organ is 0.07  What is the concentration of the drug in the organ after 17 sec? (round your answer to four decimal places) ______________g/cm3

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: A population of bacteria is growing according to the equation P(t) 300e0.18t. Estimate when the %3D…

A:

Q: 2. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s , its height ( in meters)…

A:

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A: In the question it is asked to calculate instantaneous velocity of the rocket at the instant when…

Q: Solve what is asked: The position of a particle is given by the equation 3(x+3t) 6(x+2), x is in…

A: 3x+3t=6x+2   3x+9t=6x+12          3x=9t-12             x=3t-4 1) The average…

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

A:

Q: A population of bacteria is growing according to the equation P(t) = 1850e0.1t. Estimate when the…

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: 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: A population of bacteria is growing according to the equation P(t) = 1800e.16t. Estimate when the…

A: A population of bacteria growing according to the equation Pt=1800e0.16t.

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 70e-0.05t…

A:

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

A: Given that the value of China's exports of automobiles and parts(in billions of dollars) is…

Q: The temperature T, of a chemical reaction is given by: T = 130e0.05t where t > 0, is time in…

A:

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: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 2500 (5…

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: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 432 (3-0.3),…

A: Given query is to find the amount of radioactive after 4 months and time taken to reach 16 grams.

Q: A bottle of juice with a temperature of 95°F was taken off a shelf and placed in a cooling unit with…

A:

Q: 1. An arrow is shot vertically up into the air with an initial vertical velocity of 60 m/s, and its…

A: Given; Initial velocity=60m/s   h=-5t2+60t.

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: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation…

A:

Q: If a rock is dropped from a 200 ft building, its posi- tion (in feet above the ground) is given by…

A: Given-  st=-16t2+200, where t is the time in seconds since it was dropped. To Find- (a) The velocity…

Q: Suppose you are filling your car with gasoline at the local gas station. Unfortunately, the pump…

A: To find- No. Of gallons in the tank.

Q: A population of bacteria is growing according to the equation P(t) = 300e0.17t , where t is the…

A:

Q: A particle is moving along the x-axis so that at any time t > 0, its acceleration is given by the…

A: The acceleration of a particle is the rate of changing of velocity at time. When the velocity…

Q: The population of a town, t years from now, is modelled by P(t)= t3 -7t2 +7t +115 where P(t) is…

A: Solution

Q: Solve parts a,b, and c.

A: Here we need to apply some basic concepts of derivatives to find the answers

Q: The acceleration of a particle is given by a = 8 t, where “a” is in meters per second squared and…

A: We will solve the problem

Q: A water tank has 142 gallons of water, At first, in t=0, a solution with 1/6 lb/gal of a chemical…

A: it is mixing problem we use linear differential equation to solve this question.

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

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: A population of bacteria is growing according to the equation P(t) = 750e0.21t , where t is the…

A:

Q: The deck of a bridge is suspended 215 feet above a river. If a pebble falls off the side of the…

A:

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: A ball is thrown into the air with an initial velocity of 32 feet per second, from a height of 11…

A: Given query is to find the time when ball hit the ground.

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 65e-0.05t…

A:

Q: Water flows from the bottom of a storage tank at a rate of r(t) = 4(50 − t)e −0.05t liters per…

A: Given:  rt=450-te-0.05t    , 0≤t≤50    1 We need to find the amount of water that flows from the…

Q: The concentration of a drug in an organ at any time t (in seconds) is given by x(t) = 0.17(1 -…

A: The concentration of a drug in an organ at any time is given by,

Q: If an object is projected upward from ground level with an initial velocity of 160ft per​ sec, then…

A: given  s(t)=−16t^2+160t

Q: A population of bacteria is growing according to the equation P(t) = 1800e0.15t. Estimate when the…

A: Please see the answer in step 2

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

A:

Q: A bacteria has a reproduction rate of r(t) = t/t^2+1 in millions of bacteria per hour, where t is in…

A:

Q: The temperature T, of a chemical reaction is given by: T = 155e0.07t where t > 0, is time in…

A: Given:- The temperature T, of a chemical reaction is given by:   T = 155e0.07t   where t >= 0, is…

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

A: Given: If a rock is thrown vertically upward from the surface of Mars with velocity 15m/s, its…

Q: B. Solve the following problem using S.O.L.V.E. process. 1) A jeepney regularly travels the distance…

A: Note:- In given problem a word "S.O.L.V.E. process" is mentioned. According to me it is "study,…

Q: A bottle of juice with a temperature of 95°F was taken off a shelf and placed in a cooling unit with…

A: To find the temperature of the juice after 40 minutes

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.