The temperature at a point (x, y,z) is given by t(x, y,z) = 200e−x2 −(y2/4) − (z2/9), where t is measured in degrees celcius and x, y, and z in meters. there are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector.1-find the rate of change of the temperature at the point (0, 1, 2) in the direction toward the point (0, -2, 2)? 2-in which direction (unit vector) does the temperature increase the fastest at (0, 1, ? , ? , ? )3-what is the maximum rate of increase of t at (0, 1, 2)?

30

step-by-step explanation:

times by times

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

the functions have the same rate of change i think. i narrowed it down to this answer and "the rate of change of tour 1 is greater" but i got it wrong using that answer so im assuming its the answer above. (this is a question i also answered from the iready site if anyone needs a reference)