-
\hspace{-16}\bf{\lim_{x \rightarrow 0}\frac{1-(1+x)^{\frac{1}{x}}}{x}=} ...
-
A disc of radius R is rolling purely with COM velocity vo on a flat horizontal floor when it hits a step in the floor of height R/4.The corner is sufficiently rough to prevent any slipping of the disc against itself.What is t ...
-
logab=3/2 logcd=5/4 a-c=9 find b-d ...
-
A real valued function f is defined on the interval (-1,2).A point x is said to be a fixed point of f if f(x)=x.Suppose that f is a differentiable function such that f(0)>0 and f(1)=1.Show that if f'(1)>1,then f has a f ...
-
*Image* ...
-
if f(x)= 1/3 (f(x+1)+ 5/f(x+2) ) and f(x)>0 and finite for all x belonging to R,then limx→∞ f(x) is a) 2/5 b) 5/2 c) 10 d)0 ...
-
question in image ...
-
A stone is tied to a string of length l and whirled in a circular path.The speed of the stone at the lowest point is u.Find the magnitude of change in velocity when the string is horizontal? let velocity when string is horizo ...
-
*Image* hw 2 proceed i tried 2 ways 1) took √x=cos2φ... and am stuck at -2tanφsin4φdφ ... 2nd way i tried *Image* and stuck after seperatingthe terms and integrating ...
-
A particle is moving in aplane with a velocity given by V=V0i +(awcoswt)j where i and j are unit vectors alond X and Y axes resp.The trajectory of the particle if the particle starts from origin at t=0 will be.. A) y=asin(wx/ ...
-
A particle is moving in aplane with a velocity given by V=V0i +(awcoswt)j where i and j are unit vectors alond X and Y axes resp.The trajectory of the particle if the particle starts from origin at t=0 will be.. A) y=asin(wx/ ...
-
\hspace{-16}$If $\bf{f:(0,\infty)\rightarrow (1,\infty)}$ and $\bf{f(x)=x^4+x^2+x+1}$. Then $\bf{\frac{d}{dx}\left\{f^{-1}(4)\right\}=}$ ...
-
\hspace{-16}$If $\bf{\mathbb{I} = \int_{0}^{\pi}\frac{\pi}{\pi^2-\cos^2 (x)}dx}$, Then $\bf{[\;\mathbb{I}\; ]=}$ ...
