6. Consider the function g(x) = 3x2 + 6

(a) Find the value of g(5) (b) Simplify completely g(5 + h)

(c) Use your work above to find g(5) using the limit definition of the derivative

7. The position of a particle moving along the x-axis is given by s(t) = 2t2 + 3t + 5. Use the difference quotient to find the velocity v(t) and the acceleration a(t). Clearly label your answers.