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Higher Level Math Problems
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math
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Can you name the answers to these higher level math problems?
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ysumath
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Math Problem
Answer
Explanation
12+34+56+78+910+1112+1314+1516+1718+1920 =
Notice each pair, 12, 34, etc. add to 1
The two legs of a right triangle have lengths 1cm and 20cm. The length of the hypotenuse (in cm) = √? (√ is the square root function)
Pythagorean Theorem, 1^2 + 20^2 = 401
List all primes between 1 and 20
Each of these are only divisible by 1 and itself
If f(x) = (x^3)/6, find f''(1) + f''(2) + ... + f''(20)
f'(x) = (x^2)/2, f''(x) = x, now add the numbers 1 through 20
Σi, i = 1…20
Σi, i = 1…n = {n(n+1)}/2
Σ i^2, i = 1…20
Σ i^2, i = 1…n = {n(n+1)(2n+1)}/6
∫ x∙dx, x = 1 to x = 20
∫ x∙dx = (x^2)/2  x = 1 to x = 20
∫ {[2∙ln(x)]/x}∙dx, x = e^1…e^20
'u substitution' u = ln(x)
How many digits are in the product Πi, i=1…20
Πi, i=1…20 = 2432902008176640000, same as 20!
Find the product Π (i5), i = 1…20
For i = 5, i5 = 0, so the product is 0
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