Aresearcher randomly selects 3 fish from among 8 fish in a tank and puts each of the 3 selected fish into different containers. how many ways can this be done?

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

The probability that a tutor will see 0, 1, 2, 3, or 4 students is given below determine the probability distribution's missing value.

For which of these functions is function composition commutative with ƒ(x) = (x + 1 /3x − 2) ? a - g(x) = (3x − 2/x + 1)b - g(x) = (3x − 3/x + 2)c - g(x) = (2x + 1/3x − 1)d - g(x) = (2x − 1/3x + 1)