a cube has an edge of 4 feet. the edge is increasing at the rate of 3 feet per minute. express the volume of the cube as a function of m, the number of minutes elapsed

V = 144m + 64

Step-by-step explanation:

The cube has an edge (a) = 4 feet.

Now, the volume of the cube is given by V = a³ ....... (1)

So, initially, the volume of the cube was 4³ =64 cubic feet.

Now, differentiating equation (1) with respect to m (a variable which measurea number of minutes) we get

{Since the rate of change of length of edge is 3 feet/ minutes}

⇒

Integrating both sides we get,

V = 144m + c {Where c is the constant of integration} ........ (2)

Now, we know that at m = 0, V = 64 cubic feet.

So, from equation (2), we get c = 64

Therefore, V = 144m + 64 .... this is the expression of V in terms of m. (Answer)

all group life insurance is term insurance. actually it is annual renewable term and it is rated on the average age and claims experience of the entire group, which is called "experience rating." remember, this type of insurance has a 31-day grace period and is convertible to whole life upon leaving employment. a contributory group plan requires that both the employer and the employees pay part of the premium. at least 75% of those eligible must participate, so the group is sure to get most of the healthy employees as well as those that are sick.

step-by-step explanation: