Question: The number of bacteria after t hours in a controlled laboratory experiment is n = f(t). (a) What is the meaning of the derivative f(5)?

The number of bacteria after t hours in a controlled laboratory experiment is n = f(t).
(a) What is the meaning of the derivative f’(5)? What are its units?
(b) Suppose there is an unlimited amount of space and nutrients for the bacteria. Which do you think is larger, f’ (5) or f’ (10)? If the supply of nutrients is limited, would that affect your conclusion? Explain.

Step by Step Solution

★★★★★

3.44 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a f5 is the rate of growth of the bacteria population when ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

M-C-L-D (206).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

The approval rules for reimbursing those faculty members at Upstate University who attend professional conferences are somewhat complicated, and in the opinion of most, hardly generous. For example,...

The following table shows the number of bacteria colonies present in each of several petri dishes, after E. coli bacteria were added to the dishes and they were incubated for 24 hours. The "soap"...

The following table shows the number of bacteria colonies present in each of several petri dishes after E. coli bacteria were added to the dishes and they were incubated for 24 hours. The "soap"...

Which do you think are the most important objectives?

1) The number of bacteria after t hours in a controlled laboratory experiment is n = f (t). a) Interpret the derivative f'(5) (What is the meaning of this derivative). What are its units? b) Suppose...

Bacteria population The number of bacteria after t hours in a controlled laboratory experiment is n f std. (a) What is the meaning of the derivative f 9s5d? What are its units? (b) Suppose there is...

The number of bacteria after t hours in a controlled laboratory experiment is n = f ( t ) . ( a ) What is the meaning of the derivative f ' ( 3 ) ? The derivative f ' ( 3 ) is the rate of _ _ _...

Homework Assignment 4 Name : Math140 (Section 2.8, 3.1, 3.2) Section : The homework is worth 10 points. Show all of your work and put a box around your final answer. 1. Use the Intermediate Value...

1. Use the Intermediate Value Theorem to show that there is a solution of the equation, x3-4x = 1 in (-1, 0). 2. Find an equation of the tangent line to the curve, f(x) = - 1 x2 + at (0, 1) by using...

The number of bacteria after t hours in a controlled laboratory experiment is n = f ( t ) . ( a ) What is the meaning of the derivative f ' ( 3 ) ?

number 95,100,103 CHAPTER 3 Review 269 (b) Find the rate of change of the volume with respect to the radius if the height is constant. 100. A waterskier skis over the ramp shown in the figure at a...

Why are governmentbusiness cooperative efforts beginning to increase? What benefits do they offer?

What are the advantages and disadvantages of fixed exchange rates?

. Discuss periodic vs . perpetual inventory systems. Under what circumstances is each system used?

Roy Akins was the accounting manager at Zelco, Inc., a tire manufacturer, and he played golf with Hugh Stallings, the CEO, who was something of a celebrity in the community. The CEO stood to earn a...

The following financial statements are available for Elm Corporation for its first month of operations: Required Using the format illustrated in Exhibit 3-1, prepare a table to summarize the...

The upward normal force exerted by the floor is 620 N on an elevator passenger who weighs 650 N. What are the reaction forces to these two forces? Is the passenger accelerating? If so, what are the...

The system shown in Figure is used to cool the reactor effluent and separate the light gases from the heavier hydrocarbons. K-values for the components at 500 psia and 100?F are (a) Calculate the...

Anew type of cooling-tower packing is being tested in a laboratory column. At two points in the column, 0.7 ft apart, the following data have been taken. Calculate the overall volumetric...

EXERCISE 1 1-9. Calculating Labor Variances The standard labor cost in the production of a pair of Tukor Brand athletic shoes is .5 hours at $18 per hour. During the month of June, 20,000 pairs were...

Question 14 (1 point) Saved Determine whether the scatterplot shows little or no association, a negative association, a linear association, a moderately strong association, or a very strong...

On December 31, 2013, Burton, Inc. leased machinery with a fair value of $1,050,000 from Cey Rentals Co. The agreement is a six-year noncancelable lease requiring annual payments of $200,000...

Bank Analysis Step 1 Go to FDiC.gov Go to Resources and click on Data Tools Click on Go to Bank Find Suite Click on Run Financial Reports by Institution Step 2 On the left, under the Search for...