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How to solve big unitary sums?
Taking 2^x=m and solving the quadratic for getting D>=0 we get range= [3/4 , infinity )
If A be the area of a right triangle and b one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2 Ab /√ b 4 +4A 2 . An
The Robin's Nest Nursing Home had a fundraising target of $9,500. By the end of the fundraiser, they had exceeded their goal through $2,100. How much did they raise? Exceeded
Cylinder The below equation is the common equation of a cylinder. x 2 /a 2 + y 2 /b 2 = 1 This is known as a cylinder whose cross section is an ellipse. If a = b we
Absolute Convergence While we first talked about series convergence we in brief mentioned a stronger type of convergence but did not do anything with it as we didn't have any
Shirts numbered consecutively from 1 to 20 are worn by 20 members of a bowling league. While any three of these members are selected to be a team, the league aims to use the sum of
If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(r+2)=
from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS) = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let
Exponential and Geometric Model Exponential model y = ab x Take log of both sides log y = log a + log b x log y = log a + xlog b Assume log y = Y and log a
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