`W h a t i s t h e s u m o f2^3+4^3+6^3++2 0^3?`

Let C be a curve passing through M(2,2) such that the slope of the tangent at anypoint to the curve is reciprocal of the ordinate of the point. If the area bounded by curve C and lin x=2i s A ,t h e nt h e v a l u e of (3A)/2i s__

If S_n=sum_(r=1)^n r !(n >6),"t h e nf i n dt h ev a l u eo f" [cot^(-1)(cot(s_n-7[(S_n)/7]))],"w h e r e"[dot]"d e n o t e sg r e a t e s t" integer function

What is the volume of oxygen liberated at S.T.P When 3.4g of H_(2)O_(2) is heated?

If f(x)={e^(cosxsinx ,for|x|lt=2)2,ot h e r w i s e ,t h e nint_(-2)^3f(x)dx= 0 (b) 1 (c) 2 (d) 3

Show that f(x)={((sin3x)/(tan2x) ,, if x 0):} \ is \ c o n t i n u o u s \ a t \ x=0

Categorise the following function of time : sin omega t + sin 3 omega t + sin 5 omega t as (a) S.H.M. (b) Periodic but no S.H.M. .Also give the period. Hint : Find the smallest interval of time after which the sum of 3 terms repeats

Study the given series and answer the question that follow. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z If only the first half of the given English alphabet is reversed how many letters will be there between K and R ? A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1) 6 2) 16 3) 14 4) 10 5) None of these

Number of ways of selecting three integers from {1,2,3, , n} if their sum is divisible by 3 is a. b . c.3d .(^(e . f. n//3g .)h . i. C_j .3k . l.)+m . n.(n//3)^(o.3p .)q .r . s. if t . u. n=3k ,k in N v. w. x. y . z.2a a .(^(b b . cc. n-1//3d d .)e e . ff. C_g g .3h h . ii.)+j j .(^(k k . ll.(m m . nn. n+2o o .)//3p p .)q q . rr. C_s s .3t t . uu.)+v v . ww.((x x . yy. n-1z z .)//3)^(a a a .2b b b .)c c c .(d d d . eee. n+2f f f .),g g g . hhh. if i i i . jjj. n=3k+1,k in N kkk. lll. mmm. n n n . ooo.2p p p .(^(q q q . rrr. n-1//3s s s .)t t t . uuu. C_v v v .3w w w . xxx.)+y y y .(^(z z z . aaaa.(b b b b . cccc. n+2d d d d .)//3e e e e .)f f f f . gggg. C_h h h h .3i i i i . jjjj.)+k k k k . llll.((m m m m . nnnn. n-1o o o o .)//3)^(p p p p .2q q q q .)r r r r .(s s s s . tttt. n+2u u u u .),v v v v . wwww. if x x x x . yyyy. n=3k+2,k in N zzzz. aaaaa. bbbbb. Independent of c c c c c . n ddddd. eeeee.

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 3F, 6G, 11 I, 18 L, ….