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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
Multiply following. Assume that x is positive. (3√x-√y)(2√x-5√y) Solution (3√x-√y)(2√x-5√y) =6√x 2 -15√x√y-2√x√y+5√y
what is the value of integration limit n-> infinity [n!/n to the power n]to the power 1/n Solution) limit n-->inf. [1 + (n!-n^n)/n^n]^1/n = e^ limit n-->inf. {(n!-n^n)
2cos^2x-sinx=1......Find x
If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =
A Cleaning solution has 40% vinegar. Find the amount of vinegar in 32 ounces of the solution>
y=6sin3x,find dy/dx
simplify mn+mp+nq+pq /n+p
Find the volume of a right circular cylinder: Calculate the volume and surface area of a right circular cylinder along with r = 3" and h = 4". Solution: V = πr 2
prove that cos(a)/1-sin(a)=tan(45+A/2)
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