Improve Your Related Rates Skills: Practice Questions for Success

In summary, the conversation is about a person looking for a set of related rates questions to practice from. Several links are provided as resources for related rate problems, including websites and animations with accompanying questions.
  • #1
laker_gurl3
94
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I was wondering if anyone has a set of related rates questions, online or even to scan for me or something so i can practice doing some..i found a small handful on the net, but i wanted a bit more to practice from..thanks a bunch :)
 
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  • #2
These ought to keep you busy for awhile :smile:

---> http://tutorial.math.lamar.edu/AllBrowsers/2413/RelatedRates.asp

---> http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/tutorials/frames4_4.html

---> http://www.mathematicshelpcentral.com/lecture_notes/calculus_1_folder/related_rates.htm

----> http://www.sparknotes.com/math/calcab/applicationsofthederivative/section2.rhtml

At the bottom of the following link there are several related rate problems (disguised as demos :biggrin: ) When you click on a demo, the related rate question precedes the animation
---> http://astro.ocis.temple.edu/~dhill001/relatedrates/relatedrates.html
 
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  • #3


Hi there,

Thank you for reaching out and expressing your interest in improving your related rates skills. It's great to see that you are actively seeking out additional practice questions to strengthen your understanding of this topic.

I would recommend checking out online resources such as Khan Academy, MathisFun, and MathHelp.com for a wide range of related rates practice questions. Additionally, many textbooks and study guides have a section dedicated to related rates with plenty of practice problems for you to work through.

Another helpful tip is to create your own related rates problems by using real-life scenarios. This will not only give you more practice, but also help you see the practical applications of this concept.

Remember to take your time and fully understand each problem before moving on to the next. And don't be afraid to ask for help or clarification if you get stuck on a particular question.

Best of luck in your practice and I am confident that with dedication and determination, you will see improvement in your related rates skills. Keep up the great work!
 

FAQ: Improve Your Related Rates Skills: Practice Questions for Success

1. What is a related rates question?

A related rates question is a type of mathematical problem that involves finding the rate of change of one variable with respect to another variable. This type of question typically involves multiple variables that are related to each other through a given equation or situation.

2. How do you solve a related rates question?

To solve a related rates question, you first need to identify the variables involved and determine their relationship using an equation or situation. Then, differentiate both sides of the equation with respect to time. Finally, plug in the given values and solve for the unknown rate.

3. What are some real-life examples of related rates?

Some real-life examples of related rates include the rate of change of the water level in a swimming pool as it is being filled, the rate at which a ladder slides down a wall as its base moves away, and the rate at which the shadow of a person walking changes as they approach a streetlight.

4. What are some common mistakes to avoid when solving related rates questions?

One common mistake to avoid when solving related rates questions is forgetting to take the derivative of the given equation with respect to time. Another mistake is using the wrong units for the given values, which can lead to incorrect answers. It is also important to carefully read the question and identify all given information before attempting to solve.

5. How can related rates be applied in the field of science?

Related rates can be applied in various fields of science, such as physics, chemistry, and biology. For example, in physics, related rates can be used to calculate the acceleration of an object, while in chemistry, it can be used to determine the rate of change of a chemical reaction. In biology, related rates can be used to study the growth rate of organisms or the rate of change of a population over time.

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