The length and width of a rectangle are measured as 50 cm and 45 cm, respectively, with an error in measurement of at most 0.1 cm in each. Use differentials to estimate the maximum error in the calculated area of the rectangle.

4.5 cm ^ 2

Step-by-step explanation:

We have the following partial derivative, knowing that the area is A = x * y:

dA = (dpA / dpx) * dx + (dpA / dpy) * dy = y * dx + x * dy

and that | delta x | <= 0.1, | delta and | <= 0.1. We then use dx = 0.1 and dy = 0.1, with x = 50, y = 45;

So the maximum error in the area would be:

dA = y * dx + x * dy = 50 * 0.1 + 45 * 0.1 = 5 + 4.5 = 9.5

In other words, the maximum error is 4.5 cm ^ 2

jml angle lkj & angle mj = lm

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation: