Three variables u,v and w are related such that
u varies directly as v and inversely as the square of
w. If v increases by 15% and w decreased by 10%,
find the percentage change in u.
The radius of the largest circle which
passes through (1,2) and (3,4) and lies
completely in the first quadrant is
A) 3
B) 2
C) (√6)
D) 2(√5)
I got the answer as 2 but the answer
given is 2(√5).
in a geometric series, the first term
=a, common ratio=r. If S_n denotes
the sum of the n terms and U_n =Σ_(n=1) ^n S_(n,)
then rS_n +(1−r)U_(n ) equals to
(a) 0 (b) n (c) na (d)nar
Given the function
f(x) where
f(x)= { ((∫x^2 + 1 ,for {x:x D(f) 2)),((∫x^3 − 1,for y = f′(x))) :}
a) Evaluate f(2)
if f(a)= 2 + a^(n−1)
find the value of a
hence the domain of f(x).