The function C gives the production cost for a bakery to produce cakes of a certain type, where C(x) is the cost, in dollars, to produce x of the cakes. The function M defined by M(x)=C(x+1)−C(x) gives the marginal cost, in dollars, to produce cake number x+1. Which of the following gives the best estimate for the marginal cost, in dollars, to produce the 40th cake? A: c(39)/(39)
B: c(40)/(40) -c(39)/(39)
C: c'(39)
D: c'(40)-c'(39)

Which of the following statements is not true about regions? a.) regions have fixed boundaries that are determined by the region's inhabitants.b.) a region can be defined by physical characteristics, such as climate, landform, and vegetation.c.) regions can change over time.d.) a region can be defined by human characteristics, such as language, government, and economic activity.e.) the same location can be considered part of multiple regions.

Suppose you are making a map of stars around the sun, and you draw earth 1 cm from the sun on your map. the brightest star in the night sky is 8.6 light-years from the sun. on your map, how far would you place that star from the sun?

Look back at act iv scene v to read over ophelia's interactions with claudius and gertrude as well as laertes. then, compare her dialogue to hamlet's dialogue and soliloquies previously analyzed in acts i–iv. what is ophelia's state of mind versus hamlet's?