Questions asked by Shubham B.

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• #(sec a+1)=tana(2+√3) # 0<=a<=2π??
  
• Limx→∞ ((x^2+5x+3)/x^2+x+3))^x=? Thanks.
  
• Lim x->0 √1-cos 2x/√2x=? Thanks
  
• Lim x→∞ ((x^2+5x+3)/x^2+x+3))^x=? Thanks
  
• F(x)=(36^x-9^x-4^x+1)/√2-√1+cos x for x not equal to 0 and K for x=0. Find value of K? Function is continuous at x=0 Thanks
  
• #lim_(n->oo)(Sin n+cos n)^n# Find the value? Thanks
  
• 'Lim x-->0[e^x-e^sinx]/x-sinx'?
  
• Lim x-->2 log(x-1)/x-2?
  
• Lim x-->π/2 (cos x)^cos x?
  
• Lim x → ∞{(x+a)(x+b)}^1/2 -x) equals?
  
• Integrate 1/(1+bcotx)?
  
• What is the integral of #sin(101x)sin^99(x)dx#?
  
• Integrate e^x^2?
  
• Integrate (cos^3 x +cos ^5 x)/(sin^2 x+sin^4 x)?
  
• Integration of dx/(3sinx+ 4cosx)?
  
• Integration of sinx/x from 0 to infinity?
  
• Differentiate (logx)^x?
  
• Differentiate y=a^x^a^x^a----to infinity?
  
• If x^m × y^n=(x+y)^(m+n) find dy/dx?
  
• Integrate (tan x +tan^3 x)/(1+tan^3 x)?
  
• Find f^-1(x) if f(x)=(x^2+4)?
  
• Tan^-1[(acosx-bsinx)/(bcosx+asinx)]?
  
• Integrate (sin(x-a)/sin(x+a) )^1/2?
  
• Integrate (sinx+cosx)/√(sin2x)?
  
• Examine continuity of function f(x) =( (e^1/x)-1))/((e^1/x)+1)) at x=0 ?
  
• Prove that x^n is continuous at x=n, where n is positive integer?
  
• Is f(x)=1/(x-5) continuous at x=5?
  
• F(x)=(e^1/x +1)/(e^1/x -1) is function continuous at x=0?
  
• (1+tanx)dy=2siny dx solve differential equation?
  
• Sin inverse 1 by root 5 + Cos inverse X is equal to 1. find x?
  
• Integrate 1/(a+bcotx)?
  
• Integrate log(sinx) from 0 to pi /2?
  
• A gardner throws 18 seeds onto an equilateral triangle shaped plot of side 1 meter. Then at least 2 seed are within distance of 25cm Statement is true or false?
  
• Solve the differential equation #dy/dx=ytan(x)#?
  
• #2(1-x)^n - (1+x)^n# equals?
  
• Earth absorbs 10^22 energy from sun everyday. What will be percentage increase in the mass if mass of earth is 6*10^24 Kg?
  
• Calculate the number of electrons drifting per second through the filament of a 100 W- 220 V bulb , when glowing.(e = 1.6 * 10^ -19 )?
  
• Person connects four cells in series but one cell has its terminal reversed. the internal resistance is 0.25 Ohm. If Each cell has an emf of 1.5 V the current flowing is? - a) 1 A b) 2.5 A c) 1.5 A d) zero
  
• An EMF 220 volt is applied to a circuit containing register a having resistance 160ohm, and capacitor in series. the current is found to lead voltage by an angle theta = tan^-1(3/4). Calculate Capacitive reactance, impedence, current flow in circuit?