💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

A bacteria population starts with 400 bacteria and grows at a rate of $r(t)=(450.268) e^{1.12567 t}$ bacteria per hour. How many bacteria will there be after three hours?

11713 bacteria

Calculus 1 / AB

Calculus 2 / BC

Chapter 5

Integrals

Section 4

The Substitution Rule

Integration Techniques

Oregon State University

Baylor University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:53

A bacteria population star…

0:00

03:41

Suppose that at time $t=0$…

01:40

The number of bacteria, $N…

A bacteria population is 4…

04:16

Growth of bacteria A colon…

03:33

A bacteria culture starts …

09:43

01:32

The number of bacteria …

01:18

03:51

Bacteria Growth A colony o…

02:44

Bacteria culture A culture…

02:56

Decrease in Bacteria When …

04:49

04:20

Growth of Bacteria The num…

07:00

00:56

Bacteria population If a b…

04:10

A bacteria culture initial…

06:14

we know that the rates are if he is simply the number of bacteria per unit at Time T used the equation. D B E T is equal to 4 50.26 82 The power for one times you can get D of T is equal to 450 0.268 point 268 e to the power off 1.12567 t divided by 1.12567 in order for self receiving plug in our initial condition, the coefficient should be equal to the initial population of 200. So we get C is equal to zero. So our final answer is falling for the population of easy. With three, we end up with 400 each of the power of 1.1225 times three, which is equal to 11713.23

View More Answers From This Book

Find Another Textbook

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

A bacteria population starts with 400 bacteria and grows at a rate of $r(t)=…

A bacteria population starts with 400 bacteria and grows at a rate of $ r(t)…

Suppose that at time $t=0$ there are 750 bacteria in a growth medium and the…

The number of bacteria, $N(t),$ in a culture $t$ hr after the bacteria is pl…

A bacteria population is 4000 at time $ t = 0 $ and its rate of growth is $ …

Growth of bacteria A colony of bacteria is grown under ideal conditions in a…

A bacteria culture starts with 500 bacteria and doubles in size every half h…

The number of bacteria in a culture is increasing according to the…

Bacteria Growth A colony of bacteria is grown under ideal conditions in a la…

Bacteria culture A culture of the bacterium Rhodobacter sphaeroides initiall…

Decrease in Bacteria When an antibiotic is introduced into a culture of $50,…

Decrease in Bacteria When an antibiotic is introduced into a culture of 20,0…

Growth of Bacteria The number $N$ of bacteria present in a culture at time $…

Bacteria population If a bacteria population starts with 500 bacteria and do…

A bacteria culture initially contains 100 cells and grows at a rate proporti…

A bacteria culture initially contains 100 cells and grows at arate propo…

00:47

Evaluate the indefinite integral.$\int \sqrt{\cot x} \csc ^{2} x d x$

05:42

The graph shows the fuel consumption $c$ of a car (measured in gallons per h…

01:08

Determine whether each integral is convergent or divergent. Evaluate those t…

00:40

Evaluate the indefinite integral.$\int \frac{\sin \sqrt{x}}{\sqrt{x}} d …

01:56

Evaluate the integral.$$\int_{0}^{1} \frac{x^{3}-4 x-10}{x^{2}-x-6} d x$…

05:27

3. a) Estimate the area under the graph of $f(x)=\cos x$ from$x=0$ to $x…

05:48

Prove that cosine has the Direct Substitution Property.

00:43

Use the Midpoint Rule with the given value of n toapproximate the integr…

00:58

Evaluate the integral by interpreting it in terms of areas.$$\int_{0}^{1…

00:14

$$\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left[4-3\left(x_{i}^{*}\right)…