Math

CalculusQ&A LibraryThe rate of growth dP/dt of a population of bacteria is proportional to the square root of t where P is the population size and t is the time in days (0 ≤ t ≤ 10). That is, dP/dt = k√t The initial size of the population is 300. After 1 day the population has grown to 800. Estimate the population after 8 days.Question

Asked Nov 13, 2019

82 views

The rate of growth dP/dt of a population of bacteria is proportional to the square root of t where P is the population size and t is the time in days (0 ≤ t ≤ 10). That is, dP/dt = k√t The initial size of the population is 300. After 1 day the population has grown to 800. Estimate the population after 8 days.

Step 1

The rate of growth *dP*/*dt* of a population of bacteria is proportional to the square root of *t*, where *P* is the population size and *t* is the time in days.

Step 2

Consider the rate at which the population of bacteria grow.

Step 3

Integrate the growth to find the population...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Let f(x,y)= x2+y2+kxy a) Show that if k<-2 or k>, the origin (0,0) is a saddle point. b) Suppo...

A: Click to see the answer

Q: Let f(t)= t2-9t+20, g(x,y)= x2+y2 and X0= (2,1) a) Find Lg, linear approximation to g at X0. b) Find...

A: Given,

Q: A truct gets 800/x miles per gallon (mpg) when driven at a constant speed of x mph where 40 <= x&...

A: Click to see the answer

Q: 55

A: Click to see the answer

Q: Find an equation of the tangent line to the curve at the given point. y = 2ex cos(x), (0, 2)

A: To find the equation of tangent to the curve given:

Q: Power P is the rate at which energy E is consumed per unit time. Ornithologists have found that the ...

A: Click to see the answer

Q: 12 Find the absolute maximum value on (0, co) for f(x) = 18-12x- X Select the correct choice below a...

A: f(x) = 18 - 12x - 12/xf'(x) = -12 + 12 / x2

Q: The function R(x) billion dollars models revenue from new-car sales for franchised new-car dealershi...

A: (a)Write the function for a linearization model with respect to x.

Q: Evaluate the following limit using any method. This may require the use of l'Hôpital's rule. (If an ...

A: Click to see the answer