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Solve the problems in related rates.A variable resistor $R$ and an $8-\Omega$ resistor in parallel have a combined resistance $R_{T}$ given by $R_{T}=\frac{8 R}{8+R}$. If $R$ is changing at $0.30 \Omega /$ min, find the rate at which $R_{T}$ is changing when $R=6.0 \Omega$.

Calculus 1 / AB

Chapter 24

Applications of the Derivative

Section 4

Related Rates

Derivatives

Missouri State University

Harvey Mudd College

University of Nottingham

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:44

Sketch the situation if ne…

00:53

If two resistors with resi…

02:32

09:25

The total resistance in a …

02:51

The voltage $V,$ current $…

02:35

Solve the initial value pr…

00:52

Solve each problem.Ove…

05:09

01:54

A series $R L$ circuit lik…

08:43

In Fig. $27-53,$ the resis…

we're gonna be using the formula for resistance differentiation, which is D over dt. Princes are one are two of our one times are too. So plugging in what we know, we've got 0.5 minus 1.1 times 1000 1000 minus 78 times 25 minus d'oh one squared, which gives a 0.0 81 oems per minute. Is the unit homes permanent?

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In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Sketch the situation if necessary and used related rates to solve for the qu…

If two resistors with resistances $ R_1 $ and $ R_2 $ are connected in paral…

If two resistors with resistances $R_{1}$ and $R_{2}$ are connectedin pa…

The total resistance in a circuit that has three individual resistances repr…

The voltage $V,$ current $I,$ and resistance $R$ in a circuit are related by…

Solve the initial value problems for $\mathbf{r}$ as a vector function of $t…

Solve each problem.Over a specified distance, rate varies inversely with…

A series $R L$ circuit like Fig. $27.23 a$ has $\mathcal{E}_{0}=60 \mathrm{V…

In Fig. $27-53,$ the resistors have the values $R_{1}=7.00 \Omega$ $R_{2}=12…

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