1) If a robot has a 3 bit instruction set and needs 20 instructions to reach its destination, how many bits of memory are required? 2) A robot driven by a raspberry Pi has 256MB of memory. The robot has a 3 bit instruction set. What is the maximum number of instructions that can be loaded into the robot?

3) Imagine that the robot with 256MB of memory needs 500,000 4-bit instructions to perform a job. Would it be possible to load in all the 500,000 instructions into the memory of the robot?

The volume v and paper surface area a of a conical paper cup are given by where r is the radius of the base of the cone and h is the height of the cone. a. by eliminating h, obtain the expression for a as a function of r and v. b. create a user-de ned function that accepts r as the only argument and computes a for a given value of v. declare v to be global within the function. c. for v ! 10 in.3 , use the function with the fminbnd function to compute the value of r that minimizes the area a. what is the corresponding value of the height h? investigate the sensitivity of the solution by plotting v versus r. how much can r vary about its optimal value before the area increases 10 percent above its minimum value?