Find an equation for the surface obtained by rotating the line x = 6y about the x-axis.

Step-by-step explanation:

If we loo at the xy plane and consider the point (6y, y, 0), it looks like a circular path that is a cone as the curve is rotated about the x axis. The equation of the cone has the form:

Given that x = 6y, to make the equation to be in the form as seen above, we square x = 6y, hence:

x² = (6y)²

x² = 36y²

The path parallel to yz axis are circles, so the equation should be as that of a circle. We need to add 36z², hence:

x² = 36y² + 36z²

This equation is that of a circle with radius of r = y = x/6, the resulting surface is that of a cone

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150