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can somebody suggest a good book on calculus..specially integration i have A das gupta ......it doesn't illustrate some good examples for learning how to integrate ...

wat is the way to find out the rank of a word using permutation nd combination like the rank of word "mahatma" ,is there any other way to find rank of a word???? ...

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There is a l cross b rectangle divided into unit squares.Through how many unit squares does the diagonal of the rectangle pass? ...

Ques) Prove that the series ab + (a+x)(b+x) + (a+2x) (b+2x)+ ........+2n terms. The excess of sum of last n terms over the sum of first n terms is to the excess of the last term over the first as n2 to 2n-1. ...

*Image* Each resistance is r.Show that the equivalent resistance b/w M and N is zero. ...

what conclusion can we draw from arrehenius eqution regarding the temprature dependency on activation energy?? ...

∫ 555x * 55x * 5x dx = ? ...

consider a triangle OAB formed by O≡(0,0), A≡(2,0)AND B≡(1, 3 ). P(x,y) is an arbitrary interior point of the triangle moving in such a way that the sum of its distances from the three sides of the triangle is 3 units . ...

A CAR IS TRAVELING WITH A LINEAR VELOCITY v ON A CIRCULAR ROAD OF RADIUS R IF IT IS INCREASING ITS SPEED AT THE RATE OF 'a' MS^-2 THEN THE RESULTANT ACCELERATION WILL BE wHAT AND HOW ?? ...

*Image* pls explain hw cn we find magnitude and direction of acc. ...

There are hundred prisoners each standing in a column. Each one is given a hat and there are two possible colors of hat which are red and white. The 100th person can see the hats of 99 people in front of him and the 99th pers ...

prove that the minimum value of (a+x)(b+x)/(c+x) , x>-c is ( a-c + b-c )^2 ...

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suppose u are moving parallel to a metal plate at a speed of electron in the current. do u measure a magnetic field to be zero ???????????????? ...

f(x)=1 + 2 sin x + 2 cos2x, 0≤x≤pi/2 A. f(x) is greatest at pi/6 B. f(x) is least at 0,pi/2 C. increasing in (0,pi/6) and decreasing in(pi/6,pi/2) D. f(x) is continuous in [0,pi/2] ...

To add to the action already taking place in this forum: Prove that e^x\geq 1+x\quad\forall \,x\in\mathbb{R} , the set of real numbers (easy part.) Using this result, prove the Arithmetic Mean - Geometric Mean inequality for ...

it is a lens whose one surface is silvered.................tell me about sign convention..........first there is refraction then reflection and then again refraction...... we take left to right positive then what about sign c ...

1) Prove that there exist arbitrarily long arithmetic progressions with all the terms being powers of integers. ...

the degree of dissociation of HI at a particular temperature is 0.8 . find the volume of 1.5 M sodium thiosulphate required to react completely with iodine present at equilibrium in acidic conditions, when 0.135 mol each of H ...

Decomposition of H2O2 is a second order reaction. A solution of H2O2 labelled as 20 volumes was left open.Due to this, some H2O2 decomposed.To determine the new volume strength after 6 hours,10ml of this solution was diluted ...

*Image* A charged capapcitor C1 is discharged through a resisitance R by Putting switch S in position 1 of circuit as shown in the figure. When discharge current reduces to I 0 , the switch is suddenly shifted to position2. C ...

A line of inclination 135* passes through P(3,4).Find the points on it , each of which is at a distance of 2 2 units away from P. Please Explain.Thanks. ...

*Image* A charged capapcitor C1 is discharged through a resisitance R by Putting switch S in position 1 of circuit as shown in the figure. When discharge current reduces to I 0 , the switch is suddenly shifted to position2. C ...

what is a non integrable function??? i know non differentiable function but can't really make out what the former means!! ...

1) The value of x+y+z=15, if a,x,y,z,b are in A.P while the vlue of 1/x + 1/y + 1/z =5/3 if a,x,y,z,b are in H.P. , Find a and b. 2) If the (m+!)th,(n+1)th and (r+1)th terms of an A.P are in G.P. and m,n,r are in H.P. Then sh ...

compound X (C7H8O) is insoluble in water,dil HCl,aq NAHCO3 but dissolve in aq NaOH. When X is treated with Bromine water,it is converted into a compound of formula C7H7OBr. identify X ...

A crystalline solid C7H8Oreacts with sodium to liberate hydrogen gas.it is insoluble in water but soluble in dilute soln of NaOH,upon treatment with Br2,only one monobromo derivative C7H7OBr is produced.The most likely struct ...

A Few reasoning and assertion questions -: f(x) = lim cos(n!2∩x) n is an integer . n--->∞ g(x) = lim cosn(2∩x) n--->∞ h(x) = lim {cos(n.x)+2}-n Range of f = R1 , Domain Of f is D1 Range of g = R2 , Domain Of g i ...