Recently Active Calculus Questions

y2+x2=R2 and k=1/R,then k is equal to a)IyI/ 1+(y')2 b)Iy''I/ [1+(y')2]3 c)2Iy"I/ 1+(y')2 d)Iy"I/2 (1+(y')2)3 also tell hw to solve ...

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draw the graph of 4≤ x2+y2 ≤ 2(lxl + lyl) ...

∫sin(x-π/6)sin(2x-π/3)sin(3x-π/2)sin(4x-2π/3)sin(x-5π/6)dx = ? ...

if f(x) = tan2[pi x/(n2-5n+8)] + cot [(n+m)pi x] (n ε N , m ε Q) is a periodic function with '2a' as its fundamental period then find the set of values of 'm' ? ...

If y = f(x) =(x+2)/(x-1) , then which of the following is correct ? (a) x = f(y) (b) f(1) = 3 (c) y increases with x for x<1 (d) f is a rational function of x ...

FIND I I=∫ (x2.tan-1x)/(1+x2)3/2 dx ...

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let y=f(x) and y=g(x) be two continuos functions satisfying f(x+y) =f(x) +f(y) - 8xy for all x,y ε R and g(x+y)=g(x) + g(y) +3xy(x+y) for all x,y εR also f'(0)=8 and g'(0)=-4 then find f(x) a ...

let f(x) ={-1 + sin (k1pie x) } , x is rational {1 + cos (k2pie x) } , x is irrational if f(x) is periodic function , then which of the following is correct (a) either k1 , k2 ε rational or k1 , k2 ε irrational (b) k1 , ...

find the period of the function f(x)= Cos( lsin xl -l cos xl ) ...

The smaller area enclosed by y=f(x),where f(x) is a polynomial of least degree satisfying *Image* *Image* and the circle x2+y2=2 above the x-axis is *Image* ...

∫sin- x - cos- x / sin- x + cos- x dx = ? ...

∫F(x)sinxcosx.dx = F(x)/ 2(b2 - a2),then F(x) =? 1) 1/a2sin2x + b2sin2x 2) 1/a2sin2x - b2cos2x 3)1/a2cos2x + b2sin2x 4) 1/a2cos2x - b2sin2x ...

*Image* (where {.} denotes fractional part and [.] denotes greatest integer function ) is equal to _________ ...

how to find inverse by graph! let take example x+sinx?? ...

Find the area bounded by the curves x2+y2=4, y=x2+x+1, y=[sin2(x/4)+cos(x/4)] and the x-axis,where [.] denotes greatest integer function!! ...

The tangent to a variable point P on the curve y=x2-x3 meets the curve again at Q. Show that the locus of the middle point of PQ is y=1-9x+28x2-28x3!!!!!!!!!!!!!! ...

determine a differentiable function y=f(x) which satisfies f'(x)={f(x)}2 and f(0)=-1/2. Find also the equation to the tangent at the point where the curve crosses the y-axis!!!!!!!!! ...

integrate x((a^2-x^2)/(a^2+x^2))^(1/2) ...

find ∫xdx/(1+sin x) limits 0 to pie/2 find ∫x(tan x)dx/{(sec x)+(tan x)} limits 0 to pie ...

Find the area bounded by the curves 5 ≤|z|≤2 3 and z2+z2-2zz+8z+8z>0 I have solved it up to tracing the graph,After that,I don't know how to proceed,Please solve that part alone!!!! ...

f:R->[0,infinity) is such dat f(x-1)+f(x+1)=√3 f(x) then find the period of f(x). do we really have a method to find it, my sir told me to do it by hit and trial !! and it was a MSQ but i m nt givn da opt ...

An open can of oil is accidently dropped into a lake; assume the oil spreads over the surface as a circular disc of uniform thickness whose radius increases uniformly at the rate of 10cm/sec. At the moment the radius is 1m th ...

When u differentiate a curve, d differential tells d slope of tangent rite???? wel wat if it is a cubic equation and when we diff. it we get a quadratic, but a quadratic eqn. is not a straight line and it cant ...

Prove that the segment of the normal to the curve x=2asint+asintcos2t; y=-acos3t contained between the coordinate axis is equal to 2a!!!!!!!!!!!!!! ...

Find the area under one loop of r=acos4θ ...

lim x->0 tan [(sin-1 x4 - siin-1 x9)/4] ...