Let g be an n × n grid. you start at a particular position, with zero velocity. at every time step you can modify your horizontal velocity by 1, or keep it the same. the same holds independently for vertical velocity. so if at a particular time you are at position x, y and already have velocity vx, vy, then at the next time step you will jump and land at position x + vx, y + vy, and you have the option of modifying each component of your velocity by ±1. at several (known) grid positions there are pits full of dragons that you want to avoid landing on. it is ok to jump over a dragon pit. you also shouldn’t jump off the grid. the goal is to arrive at a specified target position, with zero velocity, in as little time as possible. show how fast you can compute an optimal trajectory or decide that there is no way to reach the target.

hint: try this out in 1d instead of 2d. if you can solve that, you’ll be fine.

Gerard is currently working as an entry-level customer support technician, but he would like to someday become a software developer. what is the best first step to understand what he should do? ask his manager for a new job or at least a job recommendation study graphic design in order to obtain the necessary skills use career resources to investigate what skills and education are required work part-time as an entry-level web developer question 13 (true/false worth 6 points) (08.03 lc) career resources are used to explore career options and find career information. true false question 14(multiple choice worth 6 points) (08.01 mc) classify the following skills: writing html code, evaluating color theory, using design principles. hard skills interpersonal skills people skills soft skills question 15 (true/false worth 6 points) (08.03 lc) a mentor is a person who is advised, trained, or counseled by a trusted mentee. true false

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?

An english teacher would like to divide 8 boys and 10 girls into groups, each with the same combination of boys and girls and nobody left out. what is the greatest number of groups that can be formed?