The rate of change r(t) of the total number, in thousand of articles, of research articles in the prominent journal Physics Review written by researchers in Euro is shown in the graph, where t is time in years i = 0 represents the start of 1983 Use both left and right Riemann sums with 8 subdivisions to estimate the total number of articles in Physics Review written by researchers in Europe in the 10 year period beginning 1983. (Estimate each value of r(t) to the nearest 0.5). Us -16 the sums to obtain an estimate of r(t)dt. -7 6.5 5.5 4.5 F4 3.5 13 2.5 15 F1 F0.5 10 12 14 16 18 20 + m m NN 6

A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is placed on a table in a room where the temperature is 75° Fahrenheit. Give answers accurate to at least 2 decimal places. (a) If the temperature of the turkey is 149° Fahrenheit after half an hour, what is its temperature after 45 minutes? Fahrenheit (b) When will the turkey cool to 100° Fahrenheit? hours.

Sketch the situation if necessary and use related rates to solve for the quantity. A 6 -ft-tall person walks away from a 10 -ft lamppost at a constant rate of 3 ft/sec. What is the rate that the tip of the shadow moves away from the top of the pole when the person is 10 ft away from the pole? 10 10 6 X + Click here to create a new row The rate that the tip of the shadow moves away from the pole is + ft/sec. © Rice University 201

A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per day and the sides of the square are increasing at a rate of 3 meters per day. When the radius is 3 meters, and the sides are 16 meters, then how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclosed between the circle and the square is square meters per day. Submit Question