List of Topics


 

Algebra Feedback

by Ron Kurtus

Readers have sent in a total of 66 comments and questions on Algebra issues. They are listed according to date.

You can read them to further your understanding of the subject.



List of next 15 letters

Title

Topic

Country

Why is derivative of e^x = e^x? General Australia
 
Antiderivative of sin(3x+1)dx General Australia
 
Newton method very nice Square Root Approximation India
 
What is self-similarity and what is fractal? Fractals USA
 
Find the perimeter of a triangle General USA
 
Trouble understanding math and science General USA
 

Next 15 letters

 




First 15 letters


General

Why is derivative of e^x = e^x?

December 10, 2008

Question

why does the Derivative of e^x is still e^x?
Why does the derivative of sinx=cosx?<

String - Australia (16927)

Answer

e^x is one of the unusual expressions that equals its derivative. de^x/dx = e^x
A simple derivation can be seen at: http://math2.org/math/derivatives/more/e^x.htm, but it is difficult to understand.

Although you can prove sinx = cosx through the use of the derivative of a series, most sources say sinx = cosx by definition.

Typically, you simple have to memorize these relationships or use a reference table.

Return to List

General

Antiderivative of sin(3x+1)dx

December 10, 2008

Question

why does an antiderivative of sin(3x+1)dx=(-cos(3x+1)+C)/3
Why it has to be devided by 3?
Can you give a ful detail as many you can Please?

String - Australia (16928)

Answer

The anti-derivative of sin(nx)dx = -[cos(nx)]/n
Thus sin(3x)dx = - [cos(3x)]/3

Also sin(a+b) = sin(a)cos(b) - cos(a)sin(b)

But I'm at a loss where they get (-cos(3x+1)+C)/3. I assume that C is some constant?

Sorry, that is the best I can do without knowing what your teacher was getting at.

Return to List

Square Root Approximation

Newton method very nice

January 15, 2008

Question

The method to calculate the square root for any number using newton method is very nice.

siva - India (15137)

Answer

Thanks for the feedback. I'm glad you found the method useful.

Return to List

Fractals

What is self-similarity and what is fractal?

October 20, 2007

Question

What is self-similarity and what is fractal? I not sure I completely understand what the two are and what the difference is between them.

Denise - USA (14592)

Answer

A fractal is a design or fragmented geometric shape that repeats the same design in smaller and smaller patterns. It is like taking a triangle and putting a smaller triangle on each side, and then putting even smaller triangle on each side of those triangles, and so on.

Self-similarity is a property of fractals, where an object is exactly or approximately similar to a part of itself,.

Return to List

General

Find the perimeter of a triangle

March 6, 2007

Question

How do I find the total length of the perimeter of a right triangle, when the angles are known and the length of one side is known.

Example: angles 90, 60, 30 adjacent side = 12 inches.

Dan - USA (13319)

Answer

If, by the adjacent side you mean they hypotenuse of the triangle, you can find the length of the sides by using the sine of the angles.

The sine of 30° is 1/2 times 12 or 6 inches. That is the side opposite 30°. The sine of 60° is 0.866 time 12 = 10.39.

As a double-check, you can use Pythagorean Theory 12 squared = 6 squared + 10.39 squared. 144 = 36 + 108.

Return to List

General

Trouble understanding math and science

January 31, 2004

Question

How can I understand math and science?

Laura - USA (2196)

Answer

Our lessons in Physical Science can help you understand that topic for your class. I also have Algebra lessons for you to use. Hopefully, your teachers will do a good job in helping you learn.

Return to List

Next 15 letters


Misc


Questions and comments

Do you have any questions, comments, or opinions on this subject? If so, send an email with your feedback. I will try to get back to you as soon as possible.


Share this page

Click on a button to bookmark or share this page through Twitter, Facebook, email, or other services:

 

Students and researchers

The Web address of this page is:
www.school-for-champions.com/sfc/
feedback_course.cfm

Please include it as a link on your website or as a reference in your report, document, or thesis.

Copyright © Restrictions


Where are you now?

School for Champions

Algebra Feedback




Subjects in website



Let's make the world a better place

Be the best that you can be.

Use your knowledge and skills to help others succeed.

Don't be wasteful; protect our environment.

You CAN influence the world.





Live Your Life as a Champion:

Take care of your health

Seek knowledge and gain skills

Do excellent work

Be valuable to others

Have utmost character

Be a Champion!



The School for Champions helps you become the type of person who can be called a Champion.