1.

Find an equation of the plane.

The plane through the point(7,7,8)

and parallel to the plane8xyz=8

2.

Find an equation of the plane.

The plane through the point(2, 0,1)

and perpendicular to the linex=2t, y=8t, z=6+8t

3.

Evaluate the integral.

/2

(6sin⁵(t) cos(t)i+4sin(t) cos³(t)j+4sin(t) cos(t)k)dt

0

4.

Evaluate the integral.

7

(t³i+t(t6)j+tsin(t)k)dt

6