Recently Active Calculus Questions

Which of the following functions are differentiable at x=0? A.) sinlxl+coslxl B.)lxl+sinlxl C.)lxl+coslxl D.)lcosxl+coslxl please give the reason i know the answer! but there is a controversy between the theory and answer giv ...

the number of continuous functions onR which satisfy (f(x))^2 = x^2 for x belongs to R is ? ...

Q) A window is in the shape of a rectangle surmounted by a semicircle,If the Perimetre of the Window is Pcm show that the Window lest in the maximum possible light only when the radius of the semicircle is P/(Ï€+4)cm.? Prove ...

f(x) = x/ (1 + |x|) is : a) diff for all x. b) diff for all except x=0. c) conituous for all x. d) cont for all x but not diff at x=0. am getting a and c .... pls ans guys... ...

let f(x) = xk , k belongs to R. the value of K so that f is differentiable (n-1) times at x=0, but not differentiable n-times at x=0 is: a) n b) n-1 c) (3n-2)/3 d) n.o.t. tukka mari thi.. lag gaya tha.. par sahi method se koi ...

If P (x) is a polynomial of least degree that has a maximum equal to 6 at x = 1 , and a minimum equal to 2 at x = 3 , then01∫ P(x) dx equals 1. 17/4 2. 13/4 3. 19/4 4. 5/4 A point 'P' moves in xy plane in such a way that [| ...

S=r=1Σ20471/r options a)5<S<6 b)S>6 c)11<S<12 d)S<11 answer with proof if its not in syllabus then tell ...

The tangent at a point P(x, y) on a curve meets the axes at P1 and P2 such that P divides P1P2 internally in the ratio 2 : 1. The equation of the curve is 1. xy = c 2. x2y = c 3. xy2 = c 4. none of these ...

*Image* ...

0∫π/2 (2 logsinx- log sin2x).dx ...

Lt { ex+(2e)x+(3e)x+...+(ne)x}n/x x→0-------------------------------------- {n}n/x a) n! b) n!en c)n+logen! d)en ...

If x, y, z ε R satisfies the sstem of equations x+[y]+{z}=12.7 [x]+{y}+z=4.1 {x}+y+[z]=2........{}-fractional &[]-greatest integer fn. COLUMN 1 COLUMN 2 A) {x}+{y} p) 7.7 B) [z]+[x] q) 1.1 C) x + {z} r) 1 D) z+[y]-{x} s) 3 ...

1. f(x)=sin(x) + -π/2∫π/2((sinx+tcosx)f(t)) dt 2. 1/2∫2 sin(x-1/x) dx x ...

How many integers are in the domain f(x) = ln(3Ï€x-x2-2Ï€2-sinx) A)4 B)3 C)5 D)2 ...

g(x)=0∫x f(t)dt ,g"(x) is continuous and differentiable. a<c<b g"(a)=0;g"(b)=0;g"(c)=0 Also g'(a)=0 ,g'(b)<0 Q1. g"'(x) has in [a,b] exactly A)2 real roots B)1 real root C)no real root D)3 real roots Q2.f(x) has in ...

have a look at these ques from part test1 In which of the following following, Can Rolle's theorem be applied? (All values are in radians unless specified) a) y= log x in the interval [1,5] b) y=tan x in the interval [3,4] c) ...

1) Evaluate limx->infinity cosx/x or explain why it doesnt exist? 2) Evaluate lim t->4 (t- 3t+4 )/t-4 or explain why it doesnt exist? 3) Evaluate lim x->1 x-1 / x-1 or explain why it doesnt exist? 4) Let f(x)= sinx/x ...

Let f'(sinx)<0 and f"(sinx)>0, for all x belonging to (0,pi/2) and g(x)=f(sinx)+f(cosx) then.. a) g(x) is increasing in x ε (0,pi/4) b) g(x) is increasing in x ε (pi/4,pi/2) c) g(x) decreases in (0,pi/4) d) g(x) is in ...

The equation | z – z1|^2 + | z – z2|^2 = k (where k is a real number) will represent a circle if (A) k≥1/2 | z1 – z2|^2 (B) k≤1/2 | z1 – z2|^2 (C) k≤1/2 | z1+ z2|^2 (D) k≥1/2 | z1+ z2|^2 [isko dekhke esy laga ...

F(x)=1+x , x ε [0,1) g(x) =2-x,x ε [1,2] then draw a sketch for g{f(x)}........... ...

Let f be a differentiable function such that f(x+y)=f(x)+f(y)+x2y and lim f(x) = 0 x→0 x Then find f'(10) ...

If y is a fn. of x such that y(x-y)2=x , then Find ∫dx/(x-3y) ...

∫ √ (e2t+e-2t) dt the square root is for total thing ...

can we integrate dirichlet function ? sorry for silly doubt :P ...

∫sin-1 x/(a+x) limit from 0 to a ...

A point moves inside a triangle formed by A(0,0), B(1,3^0.5), C(2,0) such that min{(PA,PB,PC)}=1,then area bounded by the curve traced by p is: (a)3^1.5-3pie/2 (b)3^0.5+pie/2 (c)3^0.5-pie/2 (d)3^1.5+3pie/2 source: http://www. ...

lim n→∞∫(1-t3/n)^n*t2.dt=2√2/3 limits of integral -a and a ...

BT vs FIITJEE (keeping following in mind) 1.in terms of no of students taking 2.whose percentile is almost equivalent to iit jee(imp) 3.whose que r closely related to iit pleaseeeeeeeeeee give ur votes am in need of it ...

1. √cos2x 2. 1 1+x16 ...

∫ tanx ===[7][7][7] plz help meee.......... ...