Use difference quotients with δx = 0.1 and δy = 0.1 to estimate fx(1, 7) and fy(1, 7). (round your answer to four decimal places.) f(x, y) = e−x sin y fx(1, 7) = -0.0448 fy(1, 7) = then give better estimates by using δx = 0.01 and δy = 0.01. (round your answer to four decimal places.)

Find the sum of the following series. round to the nearest hundredth if necessary.

Jackson drew 4 hearts and 29 circles. what is the ratio of circles to all shapes?

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply