About Us Contact Us Help


Archives

Contribute

 

For The Mathematically Inclined

Anil Saigal
09/12/2008

FOR STUDENTS

PROBLEM # 1
The hypotenuse of a right triangle has length 20 cm. The sum of the lengths of the other two sides is 28 cm. Find the lengths of the other two sides of the triangle.

FOR GROWNUPS

PROBLEM #2
Find an equation of the tangent line to the curve x/y + ( y/x)3 = 2 at the point (– 1, – 1).

----------------------------------------------------------------------------------------------------------

Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-091808 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

-------------------------------------------------------------------------------------------------------------

Problem Solutions 09/04/08

PROBLEM # 1
I have $11.60, all dimes and quarters, in my pocket. I have 32 more dimes than quarters. How many dimes, and how many quarters, do I have?

Solution: 
56 dimes and 24 quarters.
 
FOR
GROWNUPS 

A small wedge had the shape of the region

Q={(x,y,z)|-1<=x<=1,0<=y<=2,0<=z<=y}
Find its mass if the density at any point (x,y,z) it
gives by the density function
p(x,y,z) = 1 + x2 + y2 gram/cm3 and
the dimensions for Q are in cm.

Give answer in grams to the nearest gram.

Solution:
13 grams.

Congratulations to Aseem Chandawarkar, Maithri Harve, Anupa Manjunatha and Swati Ramanujan who were winners of the last set of puzzles.



Bookmark and Share | Share your Comments

Comments :
Post a new message

In this Issue
South Asian Art - In Memory Of Prashant H. Fadia


Five Principles for an Agile Art Experience - IV.
[more]

South Asian Art - In Memory Of Prashant H. Fadia
Shopping And Deals- All That Glitters


With Gala's and plenty of holidays coming up, check these exotic jewelery pieces
[more]

Shopping And Deals- All That Glitters
Arangetram: Sowmya Varada


An arangetram is so much more than just the few shining moments of dancing on stage. It is an entire journey, not just a destination.
[more]

Arangetram: Sowmya Varada
Cartoon: Collaborate And Innovate


Prof. B, You taught us to “collaborate and innovate”. This is my innovation. They are collaborating and doing my project.
[more]

Cartoon: Collaborate And Innovate
Saheli 5K Walk For Non-Violence


Saheli invites you to the 5K Run/Walk for Non Violence on September 27th in Burlington, MA.
[more]

Saheli 5K Walk For Non-Violence

You may also access this article through our web-site http://www.lokvani.com/




Home | About Us | Contact Us | Copyrights Help