Recently Active Calculus Questions

A man begins running along a circular track at 10 km/hr . There is a source of light at the centre of the circle and a wall which is tangential to the point from which the man begins running. Find the speed of the man's shado ...

find all tangents to the curve y=cos(x+y), -2∩≤x≤2∩ that are parallel to the line x+2y=0 ...

find the equation of the normal to curve y=(1+x)y + Sin-1(sin2x) at x=0 ...

if x is increasing at the rate of 2cm/s at the instant when x=3cm and y=1cm ,at what rate y must be changing in order that the quantity (2xy-3x^2y)shall neither be increasing nor decreasing .... if S={(a,b)εR*R:x=a,y=b,(2xy- ...

Set of all points where x2{x} is differentiable? Plz post the solution.. ...

Ques1) The value of lim x→0 { cos (m2+n2) x } mn / (m2+n2)x (a) e mn (m2+n2) (b) e- mn (m2+n2) (c) e- mn/2 (m2+n2) (d) e mn/2 (m2+n2) Ques2) lim x→0 [sin -1 x / tan -1 x ] , whre [.] denotes the greates integer function ( ...

f(x) = Sin x + cos( 4-a2 x).The fundamental frequency of f(x) is 4Ï€ ,then value of a is -- A. 15 /2 B. - 15 /2 C. 7 /2 D.- 7 /2 ...

x\frac{dy}{dx}+\left({\frac{dy}{dx}}\right)^2= y A good one.. (I couldnt solve for the first few minutes before i was tempted to see the solution :D.. But now i wish i had not seen the solution and tried it myself :P ...

A good differential equation... (1+x\sqrt{x^2+y^2})dx+(-1+\sqrt{x^2+y^2})ydy = 0 ...

Simple one a) (x+y)(dx-dy)=dx+dy Simple one b) x\left({\frac{dy}{dx}}\right)^{2}+(y-x)\frac{dy}{dx}-y = 0 Copied Questions Series but good ones for JEE :P :D ...

Q 1) (2x^{2}+3y^{2}-7)xdx-(3x^{2}+2y^{2}-8)ydy = 0 Copied Questions Series but good ones for JEE :P :D ...

If f(x) = \frac{1}{3}[f(x) + \frac{5}{f(x+2)}] then \lim_{x\rightarrow \infty }f(x) = ? edit: f(x) is not a constant function and f(x) > 0 in its domain ...

SOLVE DEM OR GIVE HINT 1. prove that the family of curves *Image* is SELF orthogonal ...

5.find the curve for which the portion of tangent of the curve intercepted between the coordinate axis is of constant length. 6.find the family of curves which are such that the area of rectangle constructed on the absicca of ...

*Image* ...

*Image* ...

*Image* ...

*Image* ...

reduce the differential equation *Image* ...

\int _{0}^{1}e^x(x-1)^ndx=16-6e;n\epsilon N,n\leq 5 ...

Ques) Evaluate the following integral:- *Image* for -1 < x <1 ...

A fuction can be written as the sum of an od an even function if: last yr's tst series question a)its continuous b)its continuous and diffrentiable c)it has asymmetric domain about origin d)its ALWAYS obvious that A fuction c ...

\int _{0}^{(2n-1)\pi}[\sin x]dx;n\epsilon N Will this be done in same way as http://www.targetiit.com/iit-jee-forum/posts/find-the-value-11282.html ? :-) ...

Prove the value of integral \int _{0}^{1} \sqrt {1+x^3} is less than 7/2 ...

∫dx/(1+x^16) i.e; x raised to 16, not the whole raised to 16. ...

find the range of the function not using differentiation (i.e maxima and minima not allowed ) :- f(x) = (sin2x + sinx - 1) / (sin2x - sinx +2 ) ...

Find f(x) if f(x)= \lambda \int _{0} ^ { \pi /2 } \sin x \cos t .f(t) dt + \sin x ...

Find value of \int _{0} ^ {n \pi } sin[ \frac {2x}{ \pi } ] ...

\int_{0}^{ \pi /4}{\frac{x^2}{(x \sin x + \cos x)^2}}dx ...

Prove \int_{0}^{\pi}{x.f(\sin x)}dx=\pi \int_{0}^{ \pi /2}{\sin x dx} ...