Recently Active Calculus Questions

Q1) y=tan-1[√1+x2 + √1-x2 /√1+x2 - √1-x2], then dy/dx=? a) 1/√1-x4 b) -1/√1-x4 c) x/√1-x4 d) -x/√1-x4 ...

*Image* ...

when we use limit x tending to something (eg. 0) of f(x) where f(x) is some greatest integer function then how do u solve this type of questions ( when i did few questions of this type it seemed easy but there were 2 question ...

Q. Find period of function: f(x-1)+f(x+1)= 3 f(x) ...

∫(x+sin2x)dx/xsin2x ...

∫( x + cos 2x + 1)dx/xcos2x ...

Q1) For any acute angled triangle, \Delta ABC find the minimum value of \frac{sin A}{A}+\frac{sin B}{B}+\frac{sin C}{C} Q2) Find the volume of the largest cylinder that can be inscribed in a sphere of radius 'r' cm. Q3) A con ...

Find the value of a,b and c such that limx→0 {axex - b log(1+x) + cxex}/x2sinx = 2 please help me with this sum...... ...

Find domain of the following: log\ [log_{|sin x|}(x^2-8x+23)-\frac{3}{log_{2}|sin x|}] ...

Suppose f(x)=(x+1)2 for x>=-1.If g(x) is the the function whose graph is the reflection of the graph of f(x) with respect to the line y=x,then g(x) equals (a)-√x -1,x>=0 (b)1/(x+1)2,x>-1 (c) x+1 ,x>=-1 (d)√x-1 ...

f(x)= (x-1)/x-2{x} Please post ur solutions My ans (-∞,∞)-{0} answer given :(-∞,0)union(0,1]union[2,∞) ...

limx→0 { 16-16cos(cos10x)}/x4 evaluate the above limit.... please help... ...

prove that for all real x , y the value of x^2 + 2xy + 3y^2 -6x-2y cannot be less than -11 ( edited ) 2. solve ( x- 3 )^5 + ( x-1 )^5\geq 244 for prctc ...

Let f(x) be a polynomial, such that f(x).f(1/x)=f(x)+f(1/x), and f(3)= -26. find f(x). ...

A rectangle with altitude 'x' is inscribed in a triangle ABC with base 'b' and altitude 'h' . Express the perimeter P and area S of the rectangle as functions of 'x' ...

What is the general solution to the differential eqn 100 d2y/dx2 -20 dy/dx + y =0 ...

what is the degree of the eqn x= 1+ dy/dx + 1/2! ( dy/dx )2 +............. ...

∫ from 0 to pi/2 sin5x dx ...

Let f:R→R be a differentiable function such that f(x)=x2+e-x∫01 et f(t) dt q1 f(x) increases in ? q2 Value of ∫01 f(x) dx ...

∫(x-a)(x-b)(x-c).........(x-z)dx is equal to 1. constant 2.5c+5d+x 3.0 4.none of these ...

*Image* ...

∫√sinx dx ...

\int_{0}^{\frac{\pi}{2}} \frac{1+2cosx}{(2+cosx)^2} ...

Let f(x)=(x2+4x)1/3 and let g(x) be an antiderivative of f(x). Then if g(5) = 7 find g(1) ...

Not a dbt. Let I_1=\int_{0}^{\frac{\pi}{2}}{\frac{sin\alpha cos\alpha}{(\alpha+1)}d\alpha} I_2=\int_{0}^{\pi}}{ \frac{cos\alpha}{(\alpha+2)^2}d\alpha} . Find the value of \frac{2I_1+I_2}{2} . ...

Integrate- \int_{0}^{1}{2(tan^{-1}x)^2}dx ...

1. fundamental period of [x]+[2x]+[3x]+[4x]+[5x]-15x.....= 2. fndmntl prd of a*[sin*{b tan(x)}]......... ...

find the domain of the function f ( x) = \sqrt{log _{\phi (x) } g(x)} where g(x) = \mid sinx\mid + sinx & \phi (x) = sinx + cos x where 0≤ x ≤π ...

compute....................................................................................................... 1) *Image* 2) *Image* 3) *Image* where [ ] is the greatest integer function and n is an integer 4) *Image* 5) *Ima ...

p2=a2Cos2θ+b2Sin2θ then prove that p+d2p/dθ2=a2b2/p3 ...