In the figure, AOB = BOC and BOC = COD . Show that COD = AOD mentioning necessary axioms.

For the given quadratic equation convert into vertex form, find the vertex and find the value for x=6 y=-2x^2+2x+2

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?