the area of region for which `0 lt y lt 3 - 2x-x^2` and `x gt 0` is

The area of the region for which o lt y lt 3 -2x -x^(2) and x gt 0 , is

A polynomial P is positive for x lt 0 , and the area of the region bounded by P(x) , then x-axis, and the vertical lines x=0 and x= K is K^(2) (K+3)//3 . The polynomial P(x) is

What is the area of the region bounded by |x|lt5.y=0 and y=8 ?

Which of the following is a corner point of the feasible region of system of linear inequations 2x + 3y lt=6 , x + 4y lt= 4 and x, y gt= 0 ?

Which of the folowing should be the feasible region of the system of linear lnequalities x + 2y lt= 12 , 2x + y lt= 12 , 4x +5y gt= 20 and x,y gt= 0 ?

Area of the region bounded by the curve y={(x^2, x lt 0),(x, x ge 0):} and the line y=4 is (A) 10/3 (B) 20/3 (C) 50/3 (D) none of these

Suppose y=f(x) and y=g(x) are two continuous functiond whose graphs intersect at the three points (0,4),(2,2) and (4,0) with f(x) gt g(x) for 0 lt x lt 2 and f(x) lt g(x) for 2 lt x lt 4. If int_0^4[f(x)-g(x)]dx=10 and int_2^4[g(x)-f(x)]dx=5 the area between two curves for 0 lt x lt 2,is (A) 5 (B) 10 (C) 15 (D) 20