Recently Active Mathematics Questions

Guys I'm finding trigonometry hard. Can you suggest some tips so that i can solve sums quicker and more efficiently. Thanks. ...

From any point P on the hyperbola x2/a2 - y2/b2 =1,three normals other than that at P are drawn.Find locus of the centroid of triangle formed by their feet. ...

Find locus of point of intersection of tangents drawn at the end points of a variable chord of parabola y^2=4ax ,which subtend constant angle tan^-1 b at the vertex ...

If for a continous function f,f(0)=f(1)=0 and f'(1)=2 and g(x)=f(e^x).e^(f(x)) then g'(0)=___ ...

*Image* ...

f(x)=x2+3x+p /2(x2-1),x≠1 and f(x)=5/4, x=1 , is continues at x=1 then the value of "p" is....?? ...

show that 6!5! is a divisor of (6!)! ...

An open box with a square base is to be made out of a given cardboard of area c2 sq. units. Show that the max vol. of the box is c3/(6 3 ) cubic units. ...

Q In=0√3∫ 1/1+xn dx Find limit In n->∞ ...

Show that the right triangle of max area that can be inscribed in a circle is isosceles. ...

For those of you who have done Euclid's algorithm you could try: Prove that gcd (2a-1, 2b-1) = 2gcd(a,b)-1 [Isnt the result beautiful?!] ...

*Image* ...

Q1. find the limit lim(x→0) (1+x)1/x-e+(ex/2)/x2 Q2. Let the rth term tr of a series be given by tr = r/1+r2+r4 . Then find the value of lim(n→∞) Σtr (n=1 to n=n) Q3. If x is a real number in [0,1]. Then the value of l ...

solve the following : (1) find the period of |sin3 x/2| + |cos5 x/2| (2)if f:R->R and g:R->R be two one one and onto functions such that they are the mirror images of each other about the line y=a and h(x) = f(x) + g(x) ...

find all linear functions from [-2,4] to [10,15] which are onto??? ...

Here is the collection of all problems... http://pertselv.tripod.com/RusMath.html Enjoy.......[6] ...

g(x) = ∫ cos4t dt , then g(x+π ) = ? { lower limit =0 upper limit= x} a. g(x) + g(π) b. g(x) - g(π) c.g(x) *g(π) d. g(x)/g(π) ...

integrate log(sin 2x) dx lower limit=0 upper limit=pi/2 ...

*Image* ...

How do we derive ∫f(x) g(x) dx = f(x) G(x) - ∫ f'(x)G(x)dx G(x) represents integral of g(x) wrt x and f'(x) represents differential of f(x) wrt x ...

\int \frac{dx}{(1+\sqrt{x})\sqrt{x-x^{2}}} is equal to ? please give a proper method along with your answer. ...

draw the graphs of: (1) [x] + √{x} (2) [|x|] + √{|x|} (3) |[x]| + √|{x}| (4) |[x]| + √{x} { }-------->fractional part ; | | ------------>modulus ; [ ] ------------>greatest integer function be careful with th ...

let f(x) be a real valued function defined for all x≥1, satisfying f(1) =1 and f'(x)=1/{x2 + (f(x))2} , then Lt f(x) : x->∞ (a)does not exist (b)exists and less than ∩/4 (c) exists and less than 1+∩/4 (d) exists an ...

There are 10 DVD players and 10 DVDs 5 DVD players and 5 DVDs are defective out of 5 correct DVDs 3 are hindi 2 are english DVDs are inserted in players at random find the prob that: i) atleast 1 movie is watched ii) a hindi ...

*Image* ...

*Image* ...

Find integer n for which \lim\frac{cos^2{x}-cosx-e^{x}cosx+e^{x}-x/2}{x^{n}} is a finite non zero number x→0 ...

Given reals numbers a, b, c. Prove that at least one of three euqations x2+(a-b)x+(b-c)=0, x2+(b-c)x+(c-a)=0, x2+(c-a)x+(a-b)=0 has a real root. ...

*Image* also f(x) is differentiable at x=1 ,then f'(1)=?????????? ...

f is a real valued function satisfying *Image* ...