Although it is not defined on all of space r^3, the field associated with the line integral below is simply connected, and the component test can be used to show it is conservative. find a potential function for the field and evaluate the integral. integral_(1, 1, 1)^(2, 3, 4) 1/y dx + (1/z - x/y^2) dy - y/z^2 dz find the potential function. f(x, y, z) = x/y + y/z + c (use c as the arbitrary constant.) evaluate the line integral. integral_(1, 1, 1)^(2, 3, 4) 1/y dx + (1/z - x/y^2) dy - y/z^2 dz =

idk

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.