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If e were rational, then e = n/m for some positive integers m, n. So then 1/e = m/n. But the series expansion for 1/e is 1/e = 1 - 1/1! + 1/2! - 1/3! + ... Call the first n v
A building is in the form of a cylinder surrounded by a hemispherical vaulted dome and contains 41(19/21-) cu m of air. If the internal diameter of the building is equal to its t
Example of Integrals Involving Trig Functions Example: Estimate the following integral. ∫ sin 5 x dx Solution This integral no longer contains the cosine in it that
How many 4 digit number lass than 6000 can be made with the digits 7,6,4 and 2 if digits are not repeated?
Standard Basis Vectors Revisited In the preceding section we introduced the idea of standard basis vectors with no really discussing why they were significant. We can now do
"To grow your brand, you need to encourage your existing customers to buy your product a liitle more often. It is far more important to maximise the number of times your buyers buy
how much congruent sides does a trapezoid have
Previously discussed how important it is to expose children to a variety of verbal problems involving the concept that they are trying to learn. Children attach meaning to the abst
HOW WE CAN FACTORISE 12X+7X+1
The positive value of k for which x 2 +Kx +64 = 0 & x 2 - 8x + k = 0 will have real roots . Ans: x 2 + K x + 64 = 0 ⇒ b 2 -4ac > 0 K 2 - 256 > 0 K
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