Let `S={(x,y):x^2/9+y^2/4leq1}` and `T={(x,y):|x|leq3` and `|y|leq2}`

Let S={(x,y):(x^(2))/(9)+(y^(2))/(4)<=1} and T={(x,y):|x|<=3;|y|<=2}

Which of the following sets are not convex? A) {(x,y):8x^2+6y^2leq24} B) {(x,y): 6 leq x^2+y^2 leq 36} C) {(x,y): ygeq3, ygeq 30} D) {(x,y): x^2leqy}

Let R be the real line. Let the relations S and T on R be defined by S={(x,y):y=x+1, 0 lt x lt 2}, T={(x,y): x-y " is an integer"} . Then

Make a rough sketch of the region given below and find its area using integration {(x,y): 0 leq y leq x^2+3,0 leq y leq 2x+3,0 leq x leq 3} .

Let f(x)=1+x , 0 leq x leq 2 and f(x)=3−x , 2 lt x leq 3 . Find f(f(x)) .

Let (x,y) = 2x y ^(2) + 3x ^(2) y calculate u _(x) (2,1) and u_(y) (1,-2).

2.If "3/(x+y)+2/(x-y)=2 and 9/(x+y)-4/(x-y)then

Let f_1(x)={x, x leq x leq 1 and 1 x gt1 and 0 ,otherwise f_2(x) =f_1 (-x) for all x abd f_3(x)=-f_2(x) for all x and f_4(x)=-f_3(-x) for all x Which of the following is necessarily true?

Let f_1(x)={x, x leq x leq 1 and 1 x gt1 and 0 ,otherwise f_2(x) =f_1 (-x) for all x abd f_3(x)=-f_2(x) for all x and f_4(x)=-f_3(-x) for all x Which of the following is necessarily true?

If function defined by f(x) ={(x-m)/(|x-m|) , x leq 0 and 2x^2+3ax+b , 0 lt x lt 1 and m^2x+b-2 , x leq 1 , is continuous and differentiable everywhere ,