The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and y are measured in centimeters.

Find the direction from point P where the temperature increases most rapidly.

T(x, y) = 45 − x^2 − 4y^2, P(2, −4)

Find the rate of increase. (Round your answer to two decimal places.) ° per centimeter

Ac contractor is building a new subdivision outside of the city. he has started work on the first street and is planning on the other streets to run in a direction parallel to the first. the second street will pass through (-2,4) find the equation of the location of the second street in standard form. a.2x+y=2 b. x-y=2 c.2x+y=2 d.x+y=2

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Im literally having a mental breakdown