Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Solve the problems in related rates.A swimming pool with a rectangular surface $18.0 \mathrm{m}$ long and $12.0 \mathrm{m}$ wide is being filled at the rate of $0.80 \mathrm{m}^{3} / \mathrm{min} .$ At one end it is $1.0 \mathrm{m}$ deep, and at the other end it is $2.5 \mathrm{m}$ deep, with a constant slope between ends. How fast is the height of water rising when the depth of water at the deep end is $1.0 \mathrm{m} ?$

Calculus 1 / AB

Chapter 24

Applications of the Derivative

Section 4

Related Rates

Derivatives

Missouri State University

Campbell University

Harvey Mudd College

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:08

For the following problems…

06:02

01:09

04:16

A rectangular swimming poo…

05:27

A water trough is $ 10 m $…

06:47

Filling a pool A swimming …

03:20

A swimming pool is $ 20 ft…

04:28

A swimming pool is 20 $\ma…

01:28

01:25

Okay, We know we have V equals pi H squared over three times three are minus h. Taking the derivative. We get Devi over. DT equals pi age. Times two are minus h d h over. Did t we know that one interest per second is the same thing as five feet per minute. Right? We've got two different units. Inches and feet swift be consistent. So playing him what we know two times turn minds too. Times five is equivalent to 180 hi feet cubed per minutes. It's Stevie, which is volume. Yeah. So one thing you wanna note for this is the unit conversions. 12 inches is one foot 60 seconds is one minute. So you have to do the unit. Conversions are also end up with the wrong number, even if your calculations are correct.

View More Answers From This Book

Find Another Textbook

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…

For the following problems, consider a pool shaped like the bottom half of a…

A rectangular swimming pool $10 \mathrm{ft}$ wide by $20 \mathrm{ft}$ long a…

A water trough is $ 10 m $ long and a cross-section has the shape of an isos…

Filling a pool A swimming pool is $50 \mathrm{m}$ long and $20 \mathrm{m}$ w…

A swimming pool is $ 20 ft $ wide, $ 40 ft $ long, $ 3 ft $ deep at the shal…

A swimming pool is 20 $\mathrm{ft}$ wide, 40 $\mathrm{ft}$ long, 3 $\mathrm{…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.