(a) Find the intervals on which h is increasing or decreasing.

(b) Find the local maximum and minimum values of h.

(c) Find the intervals of concavity and inflection points of h.

(d) Sketch the graph of h with the information you found in (a)-(c), and check your

sketch on a graphing device.

h(x)=x5?2x3+x

(a) Find the intervals on which G is increasing or decreasing. (b) Find the local maximum and minimum values of G. (c) Find the intervals of concavity and inflection points of G. (d) Sketch the graph of G with the information you found in (a)-(c), and check your sketch on a graphing device. G(x)=x?4x?

40. In the theory of relativity, the energy of a particle is h2 2 E=mc4+ A: where m0 is the rest mass of the particle, A is the particle's wave length, and h : h is Planck's constant. Sketch the graph of E as a function of A; mg C4 and h:2 c2 are constants. What does the graph say about energy as wavelength changes