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

Find the y-intercept and x-intercept for the equation 5x-3y=60 what is the y-intercept

Which statement is true? n is a point of tangency on circle p. pt is a secant of circle p. is a secant of circle p. vu is a tangent of circle p.

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain