Related InterviewSolutions

• Solve: int (4t^2 + 10 / (t^2 + 3)(t^2+4))  *  dt\(\int\frac{4t^2+10}{(t^2+3)(t^2+4)}dt\)
• Evaluate: pie/2 integrate -pie/2 |sin x + cos x| dx\(\int\limits_{\pi/2}^{\pi/2}\)|sin x + cos x| dx.
• ∫f(t) x∈[0,x] dt = x + ∫t f(t) x ∈[x,1] dt, then f(1) is equal to(a)  1/2(b)   0(c)   1(d)  -1/2
• Area bounded by the curve y = 1/x between the limits 1 and 2 is ________ (a) log 2 sq.units (b) log 5 sq.units (c) log 3 sq.units (d) log 4 sq.units
• If the marginal revenue function for a commodity is MR = 9 – 4x2 . Find the demand function.
• The area bounded by the curve y = ex , the x-axis and the lines x = 0 and x = 3 is _______ (a) e3 – 1 (b) e3 + 1 (c) e3 (d) e3 – 2
• The area bounded by the demand curve xy = 1, the x - axis, x = 1, x = 5 is ______ (a) log 5 (b) log 1/5(c) log 4 (d) 1/5 log 2
• The marginal cost of a commodity is 3x2 – 2x + 8. If there is no fixed cost find the total cost.
• Say True or False.(a) Average cost function AC = MC/x(b) Total cost function C = ∫(MC) dx + k (c) Demand function = P = Rx (d) Elasticity of demand ηd = -p/x dx/dp(e) Under market equilibrium x0 = p0
• The marginal revenue R'(x) = Then the revenue function is _____ (a) -1/(x +1)(b) 1/(x + 1)2(c) log 1/(x + 1)(d) log|x + 1| + k