1. you have 60 in. of molding to use as a frame around a picture you are painting. the area of the painting is giving by the function y = 30x - x^2 where x is the width in inches. what width gives the maximum area for the painting? what is the maximum area? 2. you are trying to dunk a basketball. you need to jump 2.5 ft in the air in order to dunk the ball. the height that your feet are above the ground is given by the function h = -16t^2 + 12t. what is the maximum height your feet will be above the ground? will you be able to dunk the basketball? i need a lot of with these problems. answer them to the best of your capabilities. i'm going ! so much!

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

Which equation represents the function on the graph?

What are the values of each variable in the diagram below?