On a separate piece of paper sketch a unit circle with angle 0 in standard position. for what values of θ is the sine increasing? decreasing? for what values of θ is the cosine increasing? decreasing? for which angle between 0° and 360° is sine equal to 0? where is cosine equal to 0? (:

2x^2+5x+17

your welcome. : )

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.