a) the relation dS/dT tell us how the speed of the salmon changes as the temperature changes, and the units should be (if speed is m/s and temperature is in °C )

[dS/dT ] = [m/s*°C ].

b) I can not do a draw of the figure, but i can give a aproximation.

For T = 18°C, we can see that we are around the maximum of the curve, this means that around this point we will find the zero in the first derivate.

then S'(18) ≈ 0 m/s*°C

this means that around this point the changes are small.

for T = 10°C

Around this region, we can see almost a linear behavior.

so we can take a range of +-2°C

S(12°C) = 25m/s

S(8°C) = 20m/s

then the slope can be obtained using the relation:

S = (Y2 - Y1)/(X2 - X1) where this is the slope for the line that goes trough the pairs. (X1, Y1) and (X2, Y2)

S = (25 - 20)/(12 - 8) = 5/4

then we have that S´(10°C) ≈ 5/4 m/s*°C

Those two results are approximations, you may find better approximations by doing this with a ruler and drawing the tangents.

5 0

3 years ago

What is 8 1/72 times 9 1/9?

Margaret [11]

Change your fraction to whole by 72×8+1 which is 577 then do 9×9+1 which is 82 then times 577 to 82 which is 47,314

3 0

3 years ago

Select all of the following that are a direct variation.

seropon [69]

Only these are direct variations:

<span>Songs are 99 cents each to download.
Tickets for rides at the fair are $1 each.

Because, for each of them, the total value will be always the product of the number of items times a constant (the unit price).

</span>

6 0

3 years ago

Alexi opens his favorite mathematics puzzle book and notes that the product of the page numbers facing home is 1,332. Find the s

Trava [24]

The answer I think would be 66'6

3 0

3 years ago