Which term describes a strong sense of attachment to one's homeland?

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. with the given information, which of these statements is a reasonable conclusion? a there will be 24 milliliters of water in the bucket after 16 hour. b there will be 60 milliliters of water in the bucket after 14 hour. c there will be 160 milliliters of water in the bucket after 20 minutes. d there will be 100 milliliters of water in the bucket after 40 minutes.

The parabola y = x² - 4 opens: a.) up b.) down c.) right d.) left