The magnitude j of the current density in a certain wire with a circular cross section of radius r = 2.11 mm is given by j = (3.25 × 108)r2, with j in amperes per square meter and radial distance r in meters. what is the current through the outer section bounded by r = 0.921r and r = r?

Brutus, the dog, is pulling a bone to the left with a force of 20 n. lassie, another dog, is pulling a bone to the right with a force of 18n. what is the net force? a. b. c.

Which branches of natural science include the study of an organism that lived 10 million years ago

The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)