Suppose the number (in millions) of bacteria present in a culture at time (t) is given by

Question:

Suppose the number (in millions) of bacteria present in a culture at time $t$ is given by the formula

\[N(t)=2 t^{2}-200 t+1,000\]

Use this formula in Problems 57-60.

Find the instantaneous rate of change of the number of bacteria with respect to time at the beginning of this experiment.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Nature Of Mathematics

ISBN: 9781133947257

13th Edition

Authors: Karl J. Smith

See More Books

Question Posted: Feb 08, 2024 09:40 AM

See More Questions

Carter, Inc. produces two different products, Product A and Product B. Carter uses a traditional volume-based costing system in which direct labor hours are the allocation base. Carter is considering...
What is a function calling convention and how does it impact the design of the RISC-V instruction set architecture (ISA)? [4 marks] (d) Consider the following C function that computes the greatest...
The decomposition of nitrogen dioxide (NO2) into nitrogen monoxide (NO) and oxygen is a second-order reaction. This means that the concentration C of NO2 at time t is given by 1/C = kt + 1/C0, where...
What is the benefit to a company from a securities underwriter? They study the market and advise companies on where to set their IPO share price. They help companies to reduce the risk associated...
What are the progressive stages in the evolution of a topography or a landscape, as shown in Fig. 9.7?
Suppose Cola Corp. sells soft drink syrup to a Russian company on September 12. Cola Corp. agrees to accept 200,000 Russian rubles. On the date of sale, the ruble is quoted at $0.34. Cola Corp....
Explain the different types of ball bearings used in the industry.
Thompson Plumbing Inc. is a wholesaler of plumbing accessories. Thompson Plumbing began operations in September of the current year and engaged in the following transactions during September and...
What is MATLAB? Pros and cons.
The total accumulated cost and revenue (in millions of dollars) for a piece of business machinery is \[C^{\prime}(t)=\frac{t}{20} \quad \text { and } \quad R^{\prime}(t)=-e^{(-t)}\] where $t$ is...
In Problems 58-60, further assume that young rabbits become adults after two months and produce another pair of offspring at that time. A rabbit breeder begins with one adult pair. Let $a_{n}$...
Why would an entrepreneur find it desirable to hedge his or her foreign exchange risk?
Suppose you are taking a true-false test with ten questions. If you guess at the answers on this test, find the probabilities in Problems 19-22. More than eight correct answers
Find the requested probabilities in Problems 11-14. $P(D)$ if $P(\bar{D})=0.005$
This experiment has two mutually exclusive events, $A$ and $\bar{A}$, that form a partition of the sample space $S$. The number of elements in each set is shown in each region. Find the...
Suppose you are given two urns, numbered Urn I and Urn II. Contents of Urn I: 5 red, 6 blue, and 10 green marbles Contents of Urn II: 30 red, 20 blue, and 10 green marbles The probability of...
This experiment has two mutually exclusive events, $A$ and $\bar{A}$, that form a partition of the sample space $S$. The number of elements in each set is shown in each region. Find the...
Why is it unrealistic to assume that little or no political game playing exists in an organization such as McDonalds or Google?
A report from the college dean indicates that for the previous semester, the grade distribution for the Department of Psychology included 135 As, 158 Bs, 140 Cs, 94 Ds, and 53 Fs. Determine what kind...
A hydrogen gas in a piston/cylinder assembly at 300 K, 100 kPa with a volume of 0.1 m 3 is now slowly compressed to a volume of 0.01 m 3 while cooling in a reversible isothermal process. What is the...
Repeat the previous problem for the gas carbon monoxide. Data from previous problem An ideal gas having constant specific heat undergoes a reversible polytropic expansion with exponent n = 1.4. If...
A nitrogen gas goes through a poly tropic process with n = 1.3 in a piston/cylinder arrangement. It starts out at 600 K, 600 kPa and ends at 800 K. Is the heat transfer positive, negative, or zero?
Suppose n is a large odd number and k 2(n-1)/2 (mod n) is such that k 1 (mod n) and k (-1) (mod n). (a) Suppose k 1 (mod n). Explain why this implies that n is not prime. (b) Suppose k 1 (mod n)....
(c) Is it possible to "rank" or "compare" allocations that reside on the frontier itself (e.g., B and C) using a Pareto efficiency standard? Why or why not? (d) (e) 1 Now consider allocations A and...
Harbuck's Coffee is trying to estimate its weighted average cost of capital. The market value of Harbuck's debt and common stock is 25 million and 75 million respectively. The current 10-year T-bond...

Suppose the number (in millions) of bacteria present in a culture at time (t) is given by

Question:

Step by Step Answer:

The instantaneous rate of change of a function at a given point can be determined using the concept ...View the full answer

Nature Of Mathematics

Students also viewed these Sciences questions