💬 👋 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

If the minute hand of clock has length $ r $ (in centimeters), find the rate at which it sweeps out area as a function of $ r, $

$\frac{d A}{d t}=\frac{\pi}{60} \cdot r^{2}$

02:19

Wen Z.

00:39

Amrita B.

01:32

Madi S.

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 9

Related Rates

Derivatives

Differentiation

Missouri State University

Campbell University

Baylor University

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

02:31

Area The radius $r$ of a c…

02:29

The minute hand of a certa…

01:47

$\cdot$ The hour hand on a…

00:33

What is the rotational spe…

03:06

Area The length of a recta…

03:21

A rain drop hitting a lake…

02:09

The minute hand of a clock…

00:30

03:49

The area of a circle incre…

01:54

In parts (a)-(d), let $A$ …

we have a question in which it is being said that if a minute hand of a clock has learned are so if this is a clock minute 10 okay are in centimeters. So we have to find rate at which it strips out area as a function of our. Okay so let us suppose this data this is data and Okay ah Area that in this area. So area sector area of sector is always by our square theater divided by 300 60 degrees. So we have to find the er by the data. Sorry D. A. By the theater. D. V. D. T. Because the rate we have to find out. Okay so do you buddy will be equal to buy 3 to By 360° and to our by. Okay. No one thing to be very sure that one thing to be very sure that are is constant because it is radius which cannot be changed. So this is our Martita could be changed. So we'll be differentiating this with respect to variable which is uh we will be differentiating with respect to time to the variables like D. By D. T. By our square to to buy 360 degree all our constant but Peeta is not constant. So Pie are square 360 degree into the theater by DT. So area rate of change of area. The ability will be equal to buy a square By 360° defeated by DT. Where he died. The angle stripped by the uh what we say, angle swept by them in a tent. Thank you.

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…

Area The radius $r$ of a circle is increasing at a rate of 4 centimeters per…

The minute hand of a certain clock is 4 in long. Startingfrom the moment…

$\cdot$ The hour hand on a certain clock is 8.2 $\mathrm{cm}$ long. Find the…

What is the rotational speed of the hand on a clock that measures the minute…

Area The length of a rectangle is given by $6 t+5$ and its height is $\sqrt{…

A rain drop hitting a lake makes a circular ripple. If the radius, in inches…

The minute hand of a clock is 6 inches long. Starting from noon, how fast is…

What is the rotational speed of the hand on a clock that measures the second…

The area of a circle increases at a rate of$1 \mathrm{cm}^{2} / \mathrm{…

In parts (a)-(d), let $A$ be the area of a circle of radius $r,$ and assume …