Related InterviewSolutions

• Describe anomalous behaviour of fluorine with the other elements of group 17 with reference to : (a) Hydrogen bonding (b) Oxidation state (c) Polyhalide ions.
• If `y=1-costheta,x=1-sintheta,"then "(dy)/(dx)" at "theta=(pi)/(4)" is"`A. `-1`B. 1C. `(1)/(2)`D. `(1)/(sqrt2)`
• If the function f(x) is continuous in the interval `[-2, 2].` find the values of a and b where `{:(f(x)=(sinax)/(x)-2," ,for "-2 le x lt0),(=2x+1," ,for "0 le x le1),(=2bsqrt(x^(2)+3)-1," ,for " 1 lt x le 2):}`
• An open box is to be made out of a piece of a square card board of sides 18 cm by cutting off equal squares from the corners and turning up the sides. Find the maximum volume of the box.
• `intsec^nxtanxdx,n!=0`
• Solve the following differential equations : (1) ` (dy)/(dx) = (y + sqrtx^(2)+y^(2))/x `
• The probability mass function (p. m. f.) of X is given below : `|{:(X=x,1,2,3),(P(X=x),(1)/(5),(2)/(5),(2)/(5)):}|` find `E(X^(2))`
• Evaluate `int(x^2+1)/((x^2+2)(2x^2+1))dx`
• Obtion the differential equation by elininating arbitrary constants A, B from the equation - `y=A cos (logx)+B sin (logx)`
• Find the equation of the tangent to the curve `y=3x^(2)-x+1` at P(1, 3).A. `y=5x+2`B. `y=5x-2`C. `y=(1)/(5)x+2`D. `y=(1)/(5)x-2`