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Let f(x ) = x3 + 3x + 2 and g (x ) is the inverse of it. Find the area bounded by g (x ), the x-axis and the ordinate at x = – 2 and x = 6. ...
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A uniform shell explodes into 3 equal parts . 2 of the parts fly off perpendicular to each other with velocities 9 & 12 m s -1 . Find the velocity of the third part ...
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Limn→ ∞ [ n2 . ∫ ( tan-1 nx)/( sin-1 nx) dx Integration upper limit:- ( 1/n ) Integration lower limit:- { (1+ n ) / n } ...
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Q.1 In how many ways can clean & clouded (overcast) days occur in a week assuming that an entire day is either clean or clouded. Q.2 Four visitors A , B , C & D arrive at a town which has 5 hotels . In how many ways can they ...
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Two identical charge particles enter a uniform magnetic field with same speed but the at angles 30° and 60° with field . Let a,b and c be the ratio of their time periods ,radii and pitches of the helical paths than (a)abc = ...
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pH depends upon the temperature....how??????....it is somewhat related to the no. of the H+ ions per mole.....may be... plzz...explain... ...
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A sample contains both H3PO4 and HIO3 along with other unknown substances.10 g of sample required 85 ml of 0.15 N NaOH during titration with phenolphthalein as indicator.A separate 10 g sample required 66ml of 0.15 N NaOH dur ...
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*Image* it is an infinite grid.. each segmnt of each resitance is R. all are equal squares.. to find resistance between A nd B ...
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Let f:R-->R be a continuous function such that f(x)-2f( x/2 )+f( x/4 ) = x2. f(3) is equal to (A) f(0) (B) 4+f(0) (C) 9+f(0) (D) 16+f(0). The equation f(x)-x-f(0) = 0 has exactly (A) No solution (B) One solution (C) Two so ...
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Let f:R-->R be a continuous function such that f(x)-2f( x/2 )+f( x/4 ) = x2. f(3) is equal to (A) f(0) (B) 4+f(0) (C) 9+f(0) (D) 16+f(0). The equation f(x)-x-f(0) = 0 has exactly (A) No solution (B) One solution (C) Two so ...
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Advanced 2 Q . 57 part (p) lim(x→0) √(2-2cosx)/2x = ? ...
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Among various properties of continuous, we have ƒ is continuous function on [a,b] and ƒ(a)ƒ(b) < 0, then there exists a point c in (a,b) such that ƒ(x) = 0 equivalently if ƒ is continuous on [a,b] and x ε R is such t ...
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*Image* The ring is rolling without slipping with a constant velocity "v", when a tangential force "F" is applied on it. What will be the net acceleration on the body.? ...
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Is it ever possible that a body moving down an inclined plane acquires so much velocity that it moves higher when it is ascending the other plane? Like in the top picture, can it rise higher than from where it was rolled on t ...
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A container (both side open is kept inverted as shown in the figure. Dimensions are given in the picture itself. The container is completely filled with a liquid. Find the minimum mass of the container so that it can stay on ...
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A container (both side open is kept inverted as shown in the figure. Dimensions are given in the picture itself. The container is completely filled with a liquid. Find the minimum mass of the container so that it can stay on ...
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