Recently Active Mathematics Questions

the solution of 2 ^ x + 2 ^{| x|} \geq 2\sqrt{2} is ...

\frac{1}{ 1 + x^{n- m} + x^{p-m}} + \frac{1}{1 +x ^{m-n}+x^{p-n}} +\frac{1}{1 + x^{m-p}+x ^{n-p }} = y THEN FIND dy / dx ...

what is the argument of a real number?i think it's 0(as imaginary part is 0,tan-1 (y/x)=0) but according to fiitjee the statement is false. plz verify as soon as possible! ...

Let S(n) denote the number of ordered pairs (x,y) satisyfing \frac{1}{x}+\frac{1}{y}=\frac{1}{n} where n > 1, , and x,y,n \in N (1) FInd the value of S(6) (2)Show that if n is prime , then S(n) = 3 always ...

Q1. If f(x) = x\int_{0}^{1}{f(x)}dx + \int_{0}^{2}{f(x)}dx-5 , and the area of the region bounded by y= f(x) and y=(1-x) between x=0 and x=1 is A, then 2A equals _______ Q2. If f(x) = \int x^{x+1}(logx+(logx)^2)dx and f(1) = ...

psoting some doubts of functions here...plzz help... 1. range of f(x) = 1/2-sin 3x , m getting [1/2,1]...but the answer is [1/3,1]. 2. If f(x) is an odd peridic function with period 2 then f(4) equals...?? 3. f:R→R...then f ...

if g(x) is a polynomial satisfying g(s)g(y)=g(x)+g(y)+g(x y)-2 for all real x and y and g(2) = 5, then find g(3). ...

∫ x2/(xsin x+ cos x)2 dx ...

maybe this has been doen before..but i ma not getting link... if it hasnt been..then plz help n=1Σ∞ n/4n4+1 ...

1) if 3x2-2bx+(b2+2c2+2a2)= 2(bc+ca) then A)a,c,b are in A.P B)a,c,b are in H.P C)a,b,c are in A.P D)a,b,c are in H.P 2)if β,γ are the solutions of a tanθ+b secθ =a,then tha value of (β+γ) is A) ∩/3 B)∩/2 C)Ï€/4 D)Ï ...

CIrcle C (r=1) touches X axis at A.Centre Q of C lies in Quad I.Tangent from origin touches C at T and P lies on it such that OAP is rt triangle (at A).perimeter =8 Q1 Find PQ Q2 eqn of circle Q3 eqn of tangent here is fig... ...

*Image* This question can be solved by using AM>=GM. i JUST WANT TO KNOW THAT IN WHICH TYPE OF QUESTIONS SHOULD WE USE THIS CONCEPT? ...

I really want a long discussion on how to draw the following graphs --- 1 > y = [ e[x] ] 2 > y = { e{x} } ...

2f(sinx)+f(cosx)=x then find the range of f(x) ...

∫ x2/(a+bx)2 dx ...

How to solve such kinds? find inverse of y = 10x-10-x/10x+ 10-x + 1 ...

∫ 1/sin(x-a) cos(x-b) dx ...

clearing all my doubts today ... Pick the correct options from the following for the below question , and state reasons for the false ones Q1] If g(x) is an inverse function of f(x) then a] g(x)=f-1(x) b] f(g(x)) =x c] f(x) = ...

\int_{0}^{2a}{x^3(\sqrt{2ax-x^3)}}dx ...

1) Find the no. of solutions of logx3 = 5x-7. 2) If a line intersects the curve - y= x4 +cx3 +12x2 -5x +2 in 4 distinct points, find the possible integral values of c. 3) Let a function f be defined as - f : {1,2,3,4} → {1, ...

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if x = 2 + 2^2/3 + 2^1/3 , then the value of x^3 -6x^2 +6x is ---??? ...

someone solve this one... ∫ xxdx ...

suppose i have a function y = 3/ 2 x logx +3/4 i know the graph of logx but how will i draw the graph of the above function??? wat happens wen a constant is multiplied with the variable wat change takes place in the graph and ...

Number os solutions of the eqn tan x+ sec x= 2cos x , lying in the interval [0,2∩) is a) 0 b)1 c)2 d)3 ...

1) 1 + \frac{(1.3) }{6}+ \frac{(1.3.5)}{6.8} +.............. 2) \frac{2}{1!} + \frac{6}{2!} + \frac{12}{3!} + \frac{20}{4!} + ................. find the sum ...

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You have in all 500000 notes of 1, 10, 100, 1000 dollars in all. Can the total sum be 1000000? (Strictly for IX-X) Others post the solution but only by hiding it Question Courtesy: Bhargav ;) ...

f(x)=\frac{3a}{x+a}+\frac{4b}{x+b}-\frac{5c}{x+c}-\frac{6d}{x+d} is divisible by x2 the find the value of *Image* ...

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