#title.fractions, Mathematics

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Parallel and perpendicular lines, The last topic that we have to discuss in...

The last topic that we have to discuss in this section is that of parallel & perpendicular lines. Following is a sketch of parallel and perpendicular lines. Suppose that th

Initial value problem, An IVP or Initial Value Problem is a differential eq...

An IVP or Initial Value Problem is a differential equation with an appropriate number of initial conditions. Illustration 3 : The subsequent is an IVP. 4x 2 y'' + 12y' +

Probability, Mike sells on the average 15 newspapers per week (Monday – Fri...

Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers

Example of pythagorean theorem, Any 15 foot ladder is resting against the w...

Any 15 foot ladder is resting against the wall. The bottom is at first 10 feet away from the wall & is being pushed in the direction of the wall at a rate of 1 ft/sec. How rapid is

How many more miles did he run today, Kevin ran 6.8 miles yesterday and 10....

Kevin ran 6.8 miles yesterday and 10.4 miles presently. How many more miles did he run today? To ?nd out how many more miles he ran today, subtract yesterday's miles from today

Which number falls among 5.56 and 5.81, Which number falls among 5.56 and 5...

Which number falls among 5.56 and 5.81? If you add a zero to the end of 5.6 to get 5.60, it is simpler to see that 5.56

Draw a common graph y = sin ( x ), Graph y = sin ( x ) Solution : As a...

Graph y = sin ( x ) Solution : As along the first problem in this section there actually isn't a lot to do other than graph it.  Following is the graph. From this grap

How long will it take the light to blink 405 times, The light on a lighthou...

The light on a lighthouse blinks 45 times a minute. How long will it take the light to blink 405 times? Divide 405 by 45 to get 9 minutes.

Prove that ac2 =ab2 + bc2+2bcxbd, If ABC is an obtuse angled triangle, obtu...

If ABC is an obtuse angled triangle, obtuse angled at B and if AD⊥CB Prove that AC 2 =AB 2 + BC 2 +2BCxBD Ans:    AC 2 = AD 2 + CD 2 = AD 2 + (BC + BD) 2 = A

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