Consider the function()=2+sin()q(t)=t2+sin(t).

1. How is the average rate of variation of this function on an interval ctd related to a secant line? Be specific about the relevant points on the graph and on the secant line.
2. Describe in wordsthe process by which average rate of variation calculations lead to an instantaneous rate of variation value for this function at =362t=362. (No actual calculations please. A "description" that involves computing a formula for ()q(t) using our differentiation formulas/rules will receive no credit.)

REMINDER: not permitted to use any kind of technology,whether on- or off-line, to assist with any part of this calculation except simple arithmetic and evaluation of trig function values.