a और b का मान ज्ञात करें ताकि निम्न प्रकार परिभाषित फलन `f`
`f(x)={(x+asqrt(2)sinx,0lexlt(pi)/4),(2xcotx+b,(pi)/4lexle(pi)/2),(acos2x-bsinx,(pi)/2ltxlepi):}`
`0lexlepi` में सभी `x` के लिए संतत है।

If f(x)={(x+a sqrt(2) sinx"," ,0 lt x lt (pi)/(4)),(2x cotx+b",",(pi)/(4) le x le (pi)/(2)),(a cos 2x-b sinx",", (pi)/(2) lt x le pi):} is continuous at x=(pi)/(4) , then a - b is equal to

Find the values of a and b such that the function f (x) defined by f(x)={{:(x+asqrt(2)sinx,0lexlt(pi)/(4)),(2xcotx+b,(pi)/(4)lexle(pi)/(2)),(acos2x-bsinx,(pi)/(2)ltxlepi):} is continuous for all values of x in 0lexlepi .

Let f(x)={:{(x^(2)+4x",",-3lexle0),(-sinx",",0ltxle(pi)/(2)),(-cosx-1",",(pi)/(2)ltxlepi):} then

Let f(x)={:{(x^(2)+4x",",-3lexle0),(-sinx",",0ltxle(pi)/(2)),(-cosx-1",",(pi)/(2)ltxlepi):} then

Let f(x)={:{(x^(2)+4x",",-3lexle0),(-sinx",",0ltxle(pi)/(2)),(-cosx-1",",(pi)/(2)ltxlepi):} then

f(x)= {:{(x+asqrt2 sin x ,, 0 le x lt pi/4),( 2x cot x +b , , pi/4 le x le pi/2), (a cos 2 x - b sin x , , pi/2 lt x le pi):} continuous function AA x in [ 0,pi] " then " 5(a/b)^(2) equals ....