Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = –16t2 + 900. %3D - Find the time t when the instantaneous velocity of the ball equals its average velocity

Q: Ecologists estimate that, when the population of a certain city is x thousand persons, the average…

A: Given that ,    Ecologist estimate that, when the population of a certain city is x thousand…

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm²/min, find the decreasing…

A: To find- Radius is decreasing at the rate of

Q: A bacterial population is 7000 at time t = 0, and its rate of growth is 1,000 · 4t bacteria per hour…

A: It is given that at t=0 bacteria population is 7000   The growth rate is 1000*4t

Q: What is the amount of salt in the tank at time t = 0?

A:

Q: The growth model for a population of bacteria is given as P(t) = 50e2t where t is measured in days.…

A: Given: The growth model is  P(t) = 50e2t where t is measured in days. When P(t)= 25,000  find t

Q: Estimate the instantaneous velocity when t=3

A: We have to estimate the instantaneous velocity  when t = 3 Take the s - t graph

Q: If an object is dropped from the top of a building, its position in feet above the ground is given…

A: Concept of differentials need to be used here.

Q: Suppose a ball is dropped from a height of 2500 feet. Its position at time t is s(t) =-9t² + 100.…

A: Given: s(t)=-9t2+100

Q: Ecologists estimate that, when the population of a certain city is x thousand persons, the average…

A: Solve for the value

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = - 92 + 900.…

A:

Q: A particle that moves along a straight line has velocity v(t) = t²e-5t meters per second after t…

A: Given a particle that moves along a straight line has velocity v(t)=t2e-5t

Q: a). A drug in the blood stream decays by according to the equation y'=ky, where y is the…

A:

Q: Ecologists estimate that, when the population of a certain city is x thousand persons, the average…

A: To find the rate of change of the carbon monoxide levels per population when t=2

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t)--16t + 100.…

A: This question is related to speed time and distance, We will solve it using given information.

Q: A particle that moves along a straight line has velocity v(t) = t²e-4t meters per second after t…

A: Integrae with Givenlimit

Q: A population of mites growsat a rate proportional to the number present, y. If the growthconstant is…

A: Assume population at time t is p Let f(t)=population at time t=p

Q: Suppose a ball is dropped from a height of 900 feet. Its position at time t is s(t) average velocity…

A:

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = -9t² + 400.…

A:

Q: Suppose a stone is dropped from a height of 200 ft. Its position at time t is s(t)=-4r +200. Find…

A:

Q: (a) Suppose a ball is dropped from a height of 300 ft. Its position at time t is s(1)=-16r² + 300.…

A:

Q: a city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: A chemical flows into a storage tank at a rate of (180 + 3t) liters per minute, where t is the time…

A:

Q: A population of insects increases at a rate of 260+6t+0.3t2 insects per day. Find the insect…

A: Rate of increase of population  of insects  dPdt = 260 + 6t + 0.3t2 per day

Q: A moving object has a constant acceleration of -9.8 meters per square second. If its initial…

A:

Q: A moving object has a constant acceleration of -9.8 meters per square second. If its initial…

A:

Q: The acceleration of a particle moving along a horizontal line is given by a(t) = 2t - 2. If particle…

A:

Q: A population of bacteria is growing according to the equation P(t) = 1950e" 10. Estimate when the…

A:

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.00r,…

A:

Q: Suppose a ball is dropped from a height of 2500 feet. Its position at time t is s(t) = –16t² + 100.…

A:

Q: The population of a colony of bacteria is modeled by the function P(x) = 50(e-X -e-X* ) + 10, for 0…

A: Given that: P(x)=50(e-x-e-x2)+10

Q: A population of bacteria is growing according to the equation P(t)=1350e^0.11t Estimate when the…

A: Substitute P(t)=2418 into the equation Pt=1350e0.11t and solve for t:…

Q: Suppose a ball is dropped from a height of 900 feet. Its position at time t is s(t) = -16t + 100.…

A:

Q: A population of bacteria is growing according to the equation P(t)=850e0.22tP(t)=850e0.22t. Estimate…

A:

Q: at time t20, the velocity of a body moving along the s-axis is v=t - 7t+ 6. When is the body's…

A: Explanation and solutions is given below....

Q: a). A drug in the blood stream decays by according to the equation y'=ky, where y is the…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: (b) If a rock is thrown upwared on the planet mars with a velocity of 12ms, its height in meters t…

A: The height of the rock is given by: y(t)=12t-1.92t2 To find the average velocity over the interval…

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

A: To find the time t when instantaneous velocity equal to average velocity.

Q: Suppose a ball is dropped from a helght of 200 ft. Its position at time t is s(t)=-16t²+200. Find…

A: Answer

Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount…

A:

Q: The doubling period of a bacterial population is 10 minutes. At time t=90 minutes, the bacterial…

A: Given the doubling time of a bacterial population t = 10 Using a formula P=P0 er t…

Q: A culture initially has No number of bacteria. At t =1hours the number of bacteria is measured to be…

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: The annual world consumption of silver is predicted to be 22.3e0.0ir since 2014. Find a formula for…

A:

Q: The doubling period of a bacterial population is 10 minutes. At time t = 100 minutes, the bacterial…

A:

Q: Ecologists estimate that, when the population of a certain city is x thousand persons, the average…

A:

Q: The doubling period of a bacterial population is 10 minutes. At time t = 110 minutes, the bacterial…

A:

Q: The population of a city can be modeled by P(t) = 17e.04t thousand persons, wheret is the number of…

A: The population of a city can be modeled by P(t)=17e0.04t thousand persons, where t is the number of…

Q: Suppose a ball is dropped from a height of 900 feet. Its position at time t is s(t) = -16t2 + 100.…

A:

Q: A particle that moves along a straight line has velocity v(t) meters per second after t seconds. How…

A:

Q: Find the instantaneous velocity of s(t) =2.5 after 5 seconds

A:

Q: Suppose a ball is dropped from a height of 2500 feet. Its position at time t is s(t) = -9t2 + 900.…

A: