Related InterviewSolutions

• If 2a+3b+6c = 0, then show that the equation `a x^2 + bx + c = 0` has atleast one real root between 0 to 1.
• Let f: RR be a continuous function defined by `f(x)""=1/(e^x+2e^(-x))`.Statement-1: `f(c)""=1/3,`for some `c in R`.Statement-2: `0""
• `(sinx)^(logx)`
• The total cost C(x) in Rupees, associated with the production of x units of an item is given by `C(x)=0. 005 x^3-0. 02 x^2+30 x+5000`. Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.
• Find the equation of the normal to curve `x^2=4y`which passes through the point (1, 2).
• Find all the tangents to the curve `y=cos(x+y),-2pilt=xlt=2pi`that are parallel to the line `x+2y=0.`
• Manufacturer can sell x items at a price of rupees `(5-x/(100))`each. The cost price of x items is Rs `(x/5+500)`. Find the number of items he should sell to earn maximum profit
• Find the equation of tangents to the curve `y=cos(x+y),-2pilt=xlt=2pi`that are parallel to the line `x + 2y = 0`.
• If`M(x_o,y_o)` is the point on the curve `3x^2-4y^2=72` which is nearest to the line `3x+2y+1=0`, then the value of `(x_o + y_o)` is equal to (A) 3 (B) `-3` (C) 9 (D) `-9`
• `2/(x-f(pi/12))+3/(x-f(pi/4))+4/(x-f((5pi)/12))=0`A. `(f((pi)/(12)),f((pi)/(4)))`B. `(0,f((pi)/(12)))`C. `(f((5pi)/(12)),oo)`D. `(f((pi)/(4)),f((5pi)/(12)))`