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A tank contains 100 gal of fresh water. A solution containing $11 b /$ gal of soluble lawn fertilizer runs into the tank at the rate of 1 gal/min, and the mixture is pumped out of the tank at the rate of 3 gal/min. Find the maximum amount of fertilizer in the tank and the time required to reach the maximum.

Calculus 2 / BC

Chapter 16

First-Order Differential Equations

Section 3

Applications

Differential Equations

Missouri State University

Campbell University

Harvey Mudd College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

04:33

Fertilizer mixture $A$ tan…

04:03

A 2000 -liter cistern is e…

05:57

Water flows into a tank at…

04:16

Assume it takes 7.00 min t…

02:50

Filling a tank A $200-\mat…

02:40

Assume it takes 7.00 minut…

10:05

Mixture problem $A 200$ -g…

08:49

A tank initially contains …

02:55

A 200 -gal tank is half fu…

01:39

A large tank is filled wit…

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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…

Fertilizer mixture $A$ tank contains 100 gal of fresh water. A solution cont…

A 2000 -liter cistern is empty when water begins flowing into it (at $t=0$ )…

Water flows into a tank at the variable rate of $R_{\text { in }}=$ 20$/(1+t…

Assume it takes 7.00 min to fill a 30.0 -gal gasoline tank.(a) Calculate…

Filling a tank A $200-\mathrm{L}$ cistern is empty when water begins flowing…

Assume it takes 7.00 minutes to fill a 30.0 -gal gasoline tank, (a) Calculat…

Mixture problem $A 200$ -gal tank is half full of distilled water. At time $…

A tank initially contains $20 \mathrm{L}$ of water. A solution containing $1…

A 200 -gal tank is half full of distilled water. At time $t=0,$ a solution c…

A large tank is filled with water when an outflow valve is opened at $t=0 .$…

02:23

Let $\mathbf{F}_{1}$ and $\mathbf{F}_{2}$ be differentiable vector fields, a…

07:47

Evaluate the spherical coordinate integrals.$$\int_{0}^{3 \pi / 2} \int_…

03:38

Let $n$ be the unit normal in the direction away from the origin of the para…

06:34

An (open) electric circuit consists of an inductor, a resistor, and a capaci…

04:18

Obtain a slope field, and add to it graphs of the solution curves passing th…

15:33

Use a parametrization to express the area of the surface as a double integra…

01:17

Suppose that $f(t)$ is differentiable and positive for $a \leq t \leq b .$ L…

01:45

Find the orthogonal trajectories of the family of curves. Sketch several mem…

02:48

Match the differential equations with their slope fields, graphed here. (GRA…

02:31

Use the surface integral in Stokes' Theorem to calculate the circulatio…

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