Let W be the region between the sphere of radius 8 and the cube of side 1, both centered at the origin. What through the boundary S = W of a vector field F whose divergence has the constant value div(F) = -5? (Use symbolic notation and fractions where needed.)

So I decide to go to Cinnaholic once day and I buy two cinnamon rolls. I notice that these cinnamon rolls do not appear to be the same size, so naturally I eat the smaller one first and then eat the bigger one. As I am sitting on my couch stuffed from those delicious rolls, I start to think, "I wonder if Cinnaholic makes their cinnamon rolls to the size they claim them to be." Of course I have to go and purchase several rolls, weigh them (in ounces), and eat them. 30 pounds later, I have collected all of my data and tabulated it below: Cinnamon Roll Weight 5.6, 6.3, 6.1, 6.1, 5.9, 5.8, 6.0, 6.0, 6.1, 6.3, 6.3, 6.3, 6.4, 5.8, 5.7.  Cinnaholic claims that their Cinnabon rolls are made to weigh 6.1 ounces on average. The mean is 6.0467 Standard deviation: 0.2475

Good Evening,  Can you please come up with a math problem following the guidelines? i appreciate your time!!

A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…