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lim n tends to infintiy ( {x} + {2x} + {3x}..... +{nx}/ n2(to the square) )where {X} denotes the fractional part of x? Ans) all no.s are positive or 0. so limit is either positive
Applications of derivatives : At last, let's not forget about our applications of derivatives. Example Assume that the amount of air in a balloon at any time t is specified
case 2:when center is not known proof
4.2^2x+1-9.2^x+1=0
i not knoe examples
Definition 1: Given the function f (x ) then 1. f ( x ) is concave up in an interval I if all tangents to the curve on I are below the graph of f ( x ) . 2. f ( x ) is conca
find s10 for the arithmetic sequenxe inwhich a1=5 and a10=68
Without solving, find out the interval of validity for the subsequent initial value problem. (t 2 - 9) y' + 2y = In |20 - 4t|, y(4) = -3 Solution First, in order to u
The longer base of a trapezoid is 3 times the shorter base. The nonparallel sides are congruent. The nonparallel side is 5 cm more that the shorter base. The perimeter of the trape
1+2+3+78+980
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