Find the mass of the solid that lies within the sphere x² + y² + z² = 9 and the cone z = √√√√x² + y², if the density at each point is given by p(x, y, z) = z.

4) Find the volume of the solid that is enclosed by the cone Z =√x² + y² y² and the sphere X² + y² + Z² = 8

If the two spheres (x-4)^2+(y-1)^2+z^2=27 and (x-13)^2+(y-10)^2+(z+9)^2=a are externally tangent to each other, what is the value of a?

The percentage of female high school graduates who enrolled in college is given in the table below. Year 1970 1980 1990 2000 2010 College Enrollment Percentages for Females 25.5 30.3 38.3 45.6 50.5 Let a represent time (in years) since 1970, and let y represent the corresponding percentage of female high school graduates who enrolled in college. Find the cubic regression model y = F(x) = ax³ + bx² + cx + d, = where a is rounded to 6 decimal places, b is rounded to 4 decimal places, c is rounded to 3 decimal places, and d is rounded to 1 decimal place.