The population of a microscopic organism in a petri dish is represented by the equation y = 50e^(0.5t), where y is the organism population in hundreds, At t = 0, there are 5000 organisms in the petri dish.

The population of a microscopic organism in a petri dish is represented by the equation y = 50e^(0.5t), where y is the organism population in hundreds, At t = 0, there are 5000 organisms in the petri dish.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.2: Integration By Parts

Problem 41E

See similar textbooks

Related questions

Q: An aeroplane left 30 minutes later than its scheduled time; and in order to reach its destination…

A: let the usual speed of aeroplane = x km/hr and the increased speed = (x+250) km/hr total distance…

Q: The radius of a right circular cylinder is increasing at a rate of 4 inches per minute, and the…

Q: two legs of a right triangle are reach 70 cm. if one leg grows at the rate of 5cm/min and the other…

A: The solution is given below in the next step:

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

Q: The continuous rain causes the current of the water of the river to increase its rate. After each…

A: Initial current of the water = 12 km/hAfter every hour current increases by 2%.Current after 1 hour…

Q: A light is hung 6 meters above a straight horizontal path. If a man 2 meters tall is walking toward…

A: Decreasing:- We know that if something is decreasing then it is going down.

Q: A right triangle has legs of 9 inches and 12 inches whose sides are changing. The short leg is…

A: Given: A right triangle has legs of 9 inches and 12 inches whose sides are changing. The short leg…

Q: When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01…

Q: As a bicyclist moving at 6m/s passes a point, a balloon 8m directly above him rises at the rate of…

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A: Let, a be the spotlight and “ed” be the wall on which the spotlight shines.Therefore, “ad” is the…

Q: The area of the expanding rectangle is increasing at the rate of 48 square centimeters per second.…

Q: What is the derivative of the exponential function ex? How does the domain of the derivative compare…

A: To determine the derivative of the function ex and domain of the derivative.

Q: the top of a 25 foot ladder is sliding down a vertical wall at a constant rate of 3 feet per minute.…

A: Given c=25 ft b= 7ft dbdt=3 ft/minute dcdt=0

Q: Suppose an equilateral triangle has edges of lengths x. As the lengths of the edges increase, the…

A: Given An equilateral triangle, Area increase=(3^0.5)/2

Q: The original 24 m edge length of a cube decreases at the rate of 2 m divided by two minutes When x=1…

Q: If the radius of a circle increases by 3%, use differentials to approximate the increase in the area…

A: radius of a circle increases by 3%,

Q: A rectangle's length is increasing at the rate of 5 inches/sec, its width at 2 inches/sec. At what…

Q: The money supply needed to generate $1500 of nominal GDP with money velocity of 20 is

Q: A man 2 m tall walks toward a lamppost on level ground at a rate of 0.5 m/s. If the lamp is 5 m high…

Q: A rectangle has a length of 4 inches and a width of 12 inches whose sides are changing. The length…

A: Let x and y be the length and width of the rectangle at any time t respectively. Now according to…

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

Q: The side length'of a square is decreasing at a rate of 5 kilometers per hour. At a certain instant,…

Q: The population of Glenbrook is 375,000and is increasing at the rate of 2.25% per year. Predict when…

A: To find: When the population is 1 million. Given: Initial population is 375000 and rate of…

Q: one leg of a right triangle is 1 in/min and the other leg increases 2 inches per min. What is the…

A: Let the first leg of the right triangle be a and the other leg be b. Let the hypotenuse of the right…

Q: A bacteria culture is known to grow at a rate proportional to the amount present. If the population…

A: This is a problem of the application of differential equations.

Q: A right triangle has legs of 33 inches and 44 inches whose sides are changing. The short leg is…

A: to find:- dH/dt.

Q: A spotlight on the ground shines on a wall 10 m away. If a man 3 m tall walks from the spotlight…

Q: A spotlight on the ground shines on a wall 12 m away. If aman 2 m tall walks from the spotlight…

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: here we have

Q: Water flows out of a hemispherical tank at a rate which is 4 times the square root of its depth. If…

A: GIVEN: Radius of the tank is 8 ft

Q: When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01 cm…

A: Given:When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01…

Q: Sand flows out of an hourglass at a rate of 4 cubic inches per second and forms a conical pile. How…

A: Write the expression for volume of cone take the derivative with respect to time t than put the all…

Q: Solve for the second derivative of the function below 3. у%3 (х— 5)*

A: Given: y = x-54 To find: Second derivative of the given function.

Q: A 6 foot tall man walks away at the rate of 4 feet per second from the base of the street light 12…

A: Let s be the length of the base of the street light to the shadow, x be the length of the base of…

Q: The radius of a circle is increasing at a constant rate of 0.2 meter per second. What is the rate of…

A: Given Where r is radius. and

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

Q: The length of a rectangle is decreasing at the rate of 1 feet per second, but the area remains…

A: Let x and y ( in feet ) be the length and width of rectangle and A ( in ft2) be the area of…

Q: What is the derivative of square root 2t?

Q: The time required to empty a tank varies inversely as the rate of pumping. If a pump can empty a…

A: Where k is constant of variation.

Q: the length of a rectangle is increasing at a rate of 2 feet per minute, and its width is decreasing…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Formula of area of triangle 12bhWhere b is the base and h is the altitude Chain rule (uv)'= u'v+uv'

Q: triangle

Q: After an hour, the population of bacteria with a number of P0 found that their number became 3 /…

Q: A light sits on the ground 20 feet away from a very tall wall. A 5-foot-tall person walks toward the…

Q: The volume of a cube is increasing at the rate of 2 cubic inches per minute. How fast is the surface…

Q: The processing of raw sugar has a step called “inversion” that changes the sugar’s molecular…

A: Let y denote the amount of raw sugar remaining in the processing.Since the rate of change is…

Question

TRUE OR FALSE

7. The population of a microscopic organism in a petri dish is represented by the equation y = 50e^(0.5t), where y is the
organism population in hundreds. At t = 0, there are 5000 organisms in the petri dish.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Determine dimension x to 3 decimal places.
A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after online sales began, can be estimated by the equation below. Find the average weekly sales for weeks 2 through 4(t=1 to t=4). S(t)=6e^t
A company determines that its weekly online sales, S(t),in hundreds of dollars, t weeks after online sales began, can be estimated by the equation below. Find the average weekly sales for weeks 2 through 5 (t=1 to t=5). S(t)=7e^t
The height of a sand dune (in centimeters) is represented by f(t)=500−2t^2 cm, where tt is measured in years since 1995. Find f(13) and f′(13), and think about what each means in terms of the sand dune. Give the values of f(13)f(13) and f′(13) below, including units. f(13)= f'(13)=
The population P (in thousands) of Tallahassee, Florida, from 2000 trough 2018 can be modeled by P= 152.7e^kt, where t represents the year, with t=0 corresponding to 2000. In 2008, the population of Tallahassee was about 171,847.