The Fresnel function S(x) = x 0 sin(1/2t 2 ) dt was introduced in Section 5.3.

The Fresnel function S(x) = ∫^x₀ sin(1/2πt²) dt was introduced in Section 5.3. Fresnel also used the function

in his theory of the diffraction of light waves.

(a) On what intervals is C increasing?

(b) On what intervals is C concave upward?

(c) Use a graph to solve the following equation correct to two decimal places:

(d) Plot the graphs of C and S on the same screen. How are these graphs related?

Transcribed Image Text:

C(x) = f*cos(1²) dt Jo