PYQSide
ExamsMy practice
Let be the area of the region enclosed between the curves C1, C2, and the lines x= 1 and x= 4. Then the value of - 1 e ( -2 e- 2 ) is .
2.4 to 2.6
1=0, 2= 2, 3=2 , 4= 5 2.
ddx [e-x(1- x) ]=e-x( x+ x-1), so take F(x)=e-x(1- x).
x+ x-1 is >0 on (0, 2 ), <0 on ( 2,2 ), >0 on (2 , 5 2 ).
F(0)=0, F ( 2 )=e- /2, F(2 )=0, F ( 5 2 )=e-5 /2.
=e- /2+e- /2+e-5 /2 -2e- /2=e-5 /2.
- 1 e (e-5 /2 )= 52=2.5.
Answer: 2.5
If is the area of the common region that lies inside both the given ellipses, then the value of is .
Let R denote the set of all real numbers. Then the area of the region \(x,y) R R:x>0, y> 1x, 5x-4y-1>0, 4x+4y-17<0 \ is
Let S denote the locus of the mid-points of those chords of the parabola y2=x, such that the area of the region enclosed between the parabola and the chord is 43. Let R denote the region lying in the first quadrant, enclosed by the parabola y2=x, the curve S, and the lines x=1 and x=4. Then which of the following statements is (are) TRUE?
Let S= \(x,y) R R: x 0, y 0, y2 4x, y2 12-2x and 3y+ 8 x 5 8 \. If the area of the region S is 2, then is equal to