if y= sin mx, them the value of the determinant
`|{:(y,,y_(1),,y_(2)),(y_(3),,y_(4),,y_(5)),(y_(6),,y_(7),,y_(8)):}|" Where " y_(n)=(d^(n)y)/(dx^(n)) " is "`

If y= sin px and y_(n) is the nth derivative of y, then |{:(y,y_(1),y_(2)),(y_(3),y_(4),y_(5)),(y_(6),y_(7),y_(8)):}| is

If y=sinm x , then the value of the determinant |y y_1y_2y_3y_4y_5y_6y_7y_8|,w h e r ey_n=(d^n y)/(dx^n) is m^9 b. m^2 c. m^3 d. none of these

If x_(1),x_(2) "and" y_(1),y_(2) are the roots of the equations 3x^(2) -18x+9=0 "and" y^(2)-4y+2=0 the value of the determinant |{:(x_(1)x_(2),y_(1)y_(2),1),(x_(1)+x_(2),y_(1)+y_(2),2),(sin(pix_(1)x_(2)),cos (pi//2y_(1)y_(2)),1):}| is

If y=sinp x and y_n is the n t h derivative of y , then |[y, y_1,y_2],[y_3,y_4,y_5],[y_6,y_7,y_8]|i s (a)1 (b) 0 (c) -1 (d) none of these

If x-y=7\ a n d\ x y=9, find the value of x^2+y^2

The mean of discrete observations y_(1), y_(2), …, y_(n) is given by

If x+y=4\ a n d\ x y=2, find the values of x^2+y^2

If x+y=12\ a n d\ x y=14 , find the value of x^2+y^2dot

Prove that the area of the triangle inscrbed in the paravbola y^(2)=4ax is (1)/(8a)|(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))| sq. units where y_(1),y_(2),y_(3) are the ordinates of its vertices.