Recently Active Calculus Questions

1.The area of the region between x-y+2=0 and curve x= y , y axis is 2.The area inside the parabola 5x2-y=0 but outside the parabola 2x2-y+9=0 What I did for both the sums was first get a quadratic eq. and solve it to get the ...

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1) \lim_{x\rightarrow 0} (\frac{1}{sinx}-\frac{1}{x}) 2) \lim_{n\rightarrow \propto } \frac{4^{n}+3^{n}}{4^{n}-3^{n}} 3) \lim_{x\rightarrow 0} \frac{\tan^{-1}x-\sin^{-1} x }{x^{3}} ,, LH not working ...

\int \frac{cos\: 2x-cos\:2\alpha }{cos\:x-cos\:\alpha }dx ...

\lim_{x\rightarrow \propto } (x- ln coshx) where cosh t=\frac{e^{t}+e^{-t}}{2} ...

find the derivative of mod(cosx) +mod(sinx) at x=2Ï€/3 ...

find range of- y= tax(x + pi/12 ) / tax(x - pi/12 ) ...

find all the linear functions from [-2,4] to [10,15] which are onto. ...

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1) If f:R→R is a function satisfying the property f(2x+3) + f(2x+7) = 2, x#R, then the period of f(x) is? 2)If f(x) = sin(\sqrt{\left[\lambda \right]}x) is a periodic function with period \prod{} , where [.] represents grea ...

see this http://www.artofproblemsolving.com/Forum/viewtopic.php?f=296&t=355045 ...

y^(1/n)+y^(-1/n)=2x then (x^2-1)y''+x y'=n^2 y proof ...

\boxed {1} \int_{0}^{\pi}{e^{\sec x}}\sec^3x\left(\sin^2 x+\sin x+\cos x+\sin x\cos x \right)\mathrm{dx} \boxed {2} Two rational numbers m and n are selected t random . the probability that m2+n2 is a multiple of 7 is ? \boxe ...

what will be the function of the graph which contains onlyl the intregral values of the universe??? ...

find : \int_{0}^{\frac{\pi}{3}}{\sin{\left( x-\frac{\pi}{6}}\right)\sin{\left( 2x-\frac{\pi}{3}}\right)\sin{\left( 3x-\frac{\pi}{2}}\right)\sin{\left( 4x-\frac{2\pi}{3}}\right)\sin{\left( 5x-\frac{5\pi}{6}}\right)} ...

1) \lim_{x\rightarrow 0} (\frac{sinx}{x}) ^{1/x} 2) \lim_{x\rightarrow +0} (log cotx ) ^{tanx} ...

\boxed{1} \int \frac{\mathrm{dx}}{1+x^4} \\ \boxed{2}\int \frac{\sin x+\sin 2x}{\sqrt{\cos x+\cos 2x}}\mathrm{dx}\\ \boxed{3}\int \frac{1+x^{\frac{2}{3}}}{1+x}\mathrm{dx} ...

If 0∫k 1/2+8x2 = Pi/16 then k= Edit: It is whole by 2+8x2 ...

1) \lim_{x\rightarrow \Pi /2} (sinx)^{tanx} 2) \lim_{x\rightarrow \propto } (\frac{x^{2}-2x+2}{x^{2}-4x+1})^{x} ...

1) \lim_{x\rightarrow 0} \left\{tan(\Pi /4 +x ) \right\}^{1/x} ...

f(x)= cosx/[ 2x/pi ]+1/2 N.B - 2x/pi is in greatest integer function. nd x is not interger multiple of pi. is this fn. even , odd, neither even nor odd ??? ...

1. \lim_{x\rightarrow \frac{\prod{}}{4}} \frac{\sqrt{1-\sqrt{sin 2x}}}{\prod{-4x}} where x <pi/4 2. \lim_{x\rightarrow \propto } x^{3} \left\{{\sqrt{x^{2}+\sqrt{1+x^{4}}}- x\sqrt{2}} \right\} 3. \lim_{x\rightarrow \Pi /2} ...

1) What must the radius of a circle be for the sector whose perimeter is equal to the given number P to have the greatest possible area? (my ans doesn't match) 2) Which of the cylinders with the given perimeter P=100cm, of th ...

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For what values of x, the rate of change of x4/4+(x3/3 )- x is more than x4 /4?? ...

*edited*sorry- title is a misnomer 1.The domain of defination of function y(x) given by the equation ax+ay=a(a>1)is..? Ans.[0. 1) 2.g(x)=1+x1/3..then a function such that f(g(x))=3- x +x is ..? Ans.x3-3x2+2x+3 3.The functi ...

Q1Graph the inequality |x|+|y|≤1 Q2)When we shift the graph of(x) through a towards left, we transform f(x) to f(x-a).Say funct be y=x.If I change it to y=(x-1). first f(2)=2, f(3)=3 f(4)=4.Now (3)=2 f(4)=3 f(2)=1.this mean ...