Use a special product pattern to find the products of the following functions.  f(x) = 3x - 2 ; g(x) = 3x + 2 ; h(p) = 6 + p ; i(p) = 6 - p

1.
[f(x)]2
2. 
[g(x)]2
3. 
f(x)*g(x) 
4. 
[h(p)]2
5. 
[i(p)]2
6. 
i(p)*h(p​

Kapil needed to buy a long wooden beam. he went to two sawmills that each charge an initial fee plus an additional fee for each meter of wood. the following equation gives the price (in dollars) of a wooden beam from the first sawmill as a function of its length (in meters). p = 5+20xp=5+20x

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. which method should jeremy use?

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).