The temperature at a point (x, y, z) is given by t(x, y, z) = 100e−x2 − 5y2 − 7z2 where t is measured in °c and x, y, z in meters. (a) find the rate of change of temperature at the point p(2, −1, 3) in the direction towards the point (5, −4, 5). °c/m (b) in which direction does the temperature increase fastest at p? (c) find the maximum rate of increase at p.

Plzz plzzz i'll give you 25 pointshow does the water cycle influence weather in your area? use complete sentences and a specific example from your experience.

In the nineteenth century, gregor mendel first determined some basic rules of genetics that have been observed throughout all types of life. no observations have disproved these basic rules of genetics. charles darwin developed the idea of biological evolution around the same time, but he was unaware of mendel’s discoveries in genetics. over a century later, darwin’s idea of evolution was modified in order to incorporate mendel’s rules of genetics along with the other evidence that darwin had used. what is most likely the relationship between mendel’s rules of genetics and darwin’s idea of biological evolution? a.)mendel’s genetics states laws that are now part of the theory of biological evolution. b.)biological evolution states laws that are part of mendel’s theory of genetics. c.)mendel’s genetics replaced darwin’s entire concept of biological evolution. d.)biological evolution is a law that explains why all genetics exist.

Write a hypothesis about the effect of increasing resistance on the current in the circuit. use theformat and be sure to answer the lesson question. “how do changes in voltage or resistance affect current in an electric circuit? ”