Recently Active Mathematics Questions

*Image* ...

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 ...

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. ...

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 ...

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 ...

Integrate ex2 ...

If p,q are the perpendicular distances from the origin to the lines xsecα+ycosecα = a and xcosα - ysinα = acos2α respectively then show that 4p2 + q2 = a2 ...

If p is the perpendicular distance of the line x/a + y/b =1 from the origin , show that 1/p2 = 1/a2 + 1/b2 ...

If f(x)=sin x + a2x + b is an increasing fn. for all values of x,then -- A. a ε (-∞,-1) U (1,∞) B. a ε (0,∞) C. a ε (-1,1) D. none of these ...

Try proving Lagrange's mean value theorem. ...

Let N=2+22+222+...............upto 30000 terms Then find last four digits of N ...

Ques1) Find the sum of the series 1/9 + 1/18 + 1/30 + 1/45 + 1/63 + ..... (a) 1/3 (b) 1/4 (c) 1/5 (d) 2/3 Ques2) There exisits positive integers A, B and C with no common factors greater than 1, such that A log200 5 +B log200 ...

Q. Let f be a function from the set of positive integers to the set of real numbers i.e. f:N→R, such that, (i) f(1)=1 (ii) f(1)+2f(2)+3f(3)+...+nf(n)=n(n+1)f(n) for n≥2, then the value of 1/f(1004) is _________ ...

if z= x+iy then ans the following questions,z is the conjugate of z 1.what will be argument of (z+z/2) 2. what will be the aurgument of (z - z/2) ...

sqrt[tan x]dx ...

IIT-JEE Preparation Guide [url]http://professional-education.blogspot.com/2009/05/indian-institute-of-technology-joint.html[/url] ...

\int_{-2}^{2}{\frac{sin^2x}{[\frac{x}{\pi }]+0.5}}dx where [.] =GINT ...

If x1 and x2 are absicca of two points on the curve f(x)=x-x2 in the interval (0,1), then maximum value of expression (x1+x2)-(x12+x22) is ...

The number of critical pts of the function -- f(x)=|x-1||x-2| is _____. I got 2,but thats not the ans. ...

just tell me the answers Q1 Interval in which elx2-6x+8l increases ?? Q2 Range of tan (Ï€/4 cos2x) ...

The number log203 lies in a) (1/4 ,1/3) b) (1/3 ,1/2) c) (1/2 ,3/4) d) (3/4 ,4/5) ...

if Z=cosA+isinA & A=2° find *Image* ...

Ques) If g(X) = (x - x3 /6 - x5 / 120 ) - Sinx then show that log {g(x)} (for x greater than zero) is not defined. ...

What normal to the curve y=x2 forms the shortest chord ?? ...

f(x)f(1/x)=f(x)+f(1/x).given f(4)=65.find f(6) ...

cot2x=cosecx+sinx. Find the general solution of this equation. ...

A circle is inscribed in a regular hexagon of side 2 3 cm.Find (i) circumference of the inscribed circle. (ii)area of the inscribed circle. ...

Lt n→∞ Lt x→0 1/(1tan2x+2tan2x+....Ntan2x)cot2x We had a similar problem http://www.targetiit.com/iit-jee-forum/posts/find-the-limit-10114.html But I'm not sure about the answer...Plz someone give a complete explanation ...