1The curl vector and rotation of a solid body. In this part of the project we study a connection between the curl vector and rotations. Let B be a rigid body rotating about the z axis. The rotation can be described by the vector where a, is the angular speed of B, that is, the tangential speed of any point P in B divided by the distance d from the axis of rotation. Letアー〈z, y, z) be the position vector of P (a) By considering the angle θ in the figure, show that the velocity field of B is given by = w ×ア. [In the figure "bold face" notation is used for vectors.] (b) Show that t--wy→ + wz7. (c) Show that curl T-2 0

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.

answer: 0

step-by-step explanation: the positive, like 5, + its opposite, like -5 would be 0

5+(-5)=0, or 5-5=0