If Ai is the area bounded by ∣x−ai∣+∣y∣=bi,I∈N, where ai+1=ai+23biandbi+1=2bi,a1=0,=b1=32, then
Sketch the curves and identify the region bounded by x=21,x=2,y=Inx,andy=2x. Find the area of this region.
Consider two curves C1:y=x1andC2:y= In x on the xy plane. Let D1 denotes the region surrounded by C1,C2, and the line x=1 and D2 denotes the region surrounded by C1,C2 and the line x=a. If D1=D2, then the sum of logarithm of possible values of a is ___.
Consider the function defined implicity by the equation y2−2yesin−1x+x2−1+[x]+e2sin−1x=0(where [x] denotes the greatest integer function).
Line x=0 divides the region mentioned above in two parts. The ratio of area of left-hand side of line to that of right-hand side of line is