Provide an example of each of the following, or explain why the request is impossible (a) A continuous function defined on an open interval with range equal to a
closed interval.
(b) A continuous function defined on a closed interval with range equal to an
open interval.
(c) A continuous function defined on an open interval with range equal to an
unbounded closed set different from R.
(d) A continuous function defined on all of R with range equal to Q.

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?

What expression is equivalent to 42x-56y

Which of the following is an example of a rational number? a. π b. √ 9 c. √ 8 d. 3.8362319