A jogger first ran 2.0 km along a direction, which is 30 degrees South of West. Then she changed her path and ran 3.0 km due South. Determine the resultant displacement (in degrees).

Let f(x) = x4- 8x2 . find the relativeextrema of this function using the second derivative test.

Imagine you are standing in the antarctic during the southern hemisphere summer. the sky is clear and blue. there are no clouds in the sky. your shadow is cast on the icy ground. what is the color of the shadow?

Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average ocean temperatures rise. to get some idea of the size of this effect, calculate the change in length (in m) of a column of water 1.45 km high for a temperature increase of 1.12°c. assume the column is not free to expand sideways. as a model of the ocean, that is a reasonable approximation, as only parts of the ocean very close to