Recent content by lizzie

I am unable to find the general equation. Please give me some hint.

ok sorry hallsofivy

Thanks chaoseverlasting i got the answer.

dv/dr = 4/3*pi*3*r^2 = 4*pi*r^2 da/dr = 4*pi*2*r = 8*pi*r dv/da = dv/dr * dr/da = r/2

Find the order of the differential equation of the following curve: Family of parabolos having fixed directrix. Thanks for any help.

I feel in an isosceles triangle the base will be less but height will be more so how do we know that the area is maximum.

a chord AB of a circle subtends an angle that is not equal to 60 degees at a point C on the circumference. ABC has maximum area. then find A & B in terms of the angle.

find lim (-1)^[x] x->2 [x] is the greatest integer function -> means tends to thanks to any help.

what will happen if n-> infinity

find lim (x^2n - 1)/(x^2n + 1) x->infinity -> means tends to

1/x<x 1/x - x<0 (1-x^2)/x<0 (x^2 - 1)/x>0 case 1: numerator and denominator are positive numerator x^2-1>0 (x+1)(x-1)>0 By wavy curve method x<-1 or x>1 denominator x>0 so solution for this case is x>1 but x<1 (given in the question) hence no solution in this case. case 2...

to prove by principle of mathemetical induction step 1: put n=1 1^2-1+2=1^3=1 which is false

sorry kurret i am still unable to prove it

sinA + sinB + sinC <= (3 x 3^0.5 )/2 how do we prove it? A,B,C are angles of a triangle. thanks for any help.

thanks