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By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9. Answer: Let make four groups of two numbers from 1 to 8 like
THINKING MATHEMATICALLY : Have you ever thought of what mental processes you are going through when you are solving a mathematical problem? Why don't you try the following proble
project on heat loss in a cylindrical pipe
The interval of validity for an IVP along with initial conditions: y(t 0 ) = y 0 or/and y (k) (t 0 ) = y k There is the largest possible interval on that the solution is va
Let a 0 , a 1 ::: be the series recursively defined by a 0 = 1, and an = 3 + a n-1 for n ≥ 1. (a) Compute a 1 , a 2 , a 3 and a 4 . (b) Compute a formula for an, n ≥ 0.
what is a fraction?
Mark has three 4 1/2 oz cans of tomatoes and ?ve 8 1/4 oz cans. How many ounces of tomatoes does Mark have? Ignore the fractional parts of the mixed numbers at first and mul
The sum of two numbers is 19, their difference is 5. find the numbers
el extremo de un poste que partió 8.45 metros de la base del poste y forma con el suelo un angulo de 40 grados 28 minutos.hallar la altura original del poste
Luis runs at a rate of 11.7 feet per second. How far does he run in 5 seconds? You must multiply 11.7 by 5; 11.7 × 5 = 58.5. To multiply decimals, multiply generally, then coun
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