Explain how to solve the following problem iteratively:
"Suppose that you are in the middle of a lake of radius 1. You can swim at a speed of 1, can run infinitely fast. Suppose further that there is a monster on the shore of the lake who is unable to enter the water, but can run at a speed of 4. Your goal is to swim to shore of the lake and arrive at a spot where the monster is not, and then run away from the monster without being caught. If you swim directly to shore, it will take you 1 time unit. In this time, the monster will run the distance π < 4 around to where you land and eat you."
Explain how to solve the following problem iteratively: "Suppose that you are in the middle of...
plete all problems on separate paper. You must write all equations. In problems 1-4, technology be used to solve or find derivatives, but you must include this with your work if you do. Problem 5 may will be in CoCalc. 1. A hallway that is 8 feet wide meets another hallway 5 feet wide. What is the shortest length from one wall to another that touches the inside corner as shown in the diagram? (hint: you need Pythagorean Theorem and...
Large cockroaches can run as fast as 1.50 m/s in short bursts. Suppose you turn on the light in a cheap motel and see one scurrying directly away from you at a constant 1.50 m/s. If you start 0.95 m behind the cockroach with an initial speed of 0.90 m/s toward it, what minimum constant acceleration would you need to catch up with it when it has traveled 1.25 m, just short of safety under a counter? a) 4.16 b)...
Solve the following problem. Be sure to include all relevant equations and explain how you arrived at your answer. You MUST show a diagram. You are exploring a newly discovered planet when a colleague contracts a deadly alien virus. Left untreated, it will probably kill him in 5 days. You have a very fast spaceship, but the nearest medical station is 10 light-days away! How can you get him there in time?
Please use RStudio to solve this problem, thank you so much in
advance.
2. Suppose a car dealer promotes two options for the purchase of a new $20 000 car. The first option is for the customer to pay up front and receive a $1000 rebate. The second option is “0%-interest financing" where the customer makes 20 monthly payments of $1000 beginning in one month's time. Because of option 1, the effective price of the car is really $19,000, so...
70 60 50 40 30 20 10 -19 10 20 30 40 50 60 You are a lifeguard and spot a drowning child 60 meters along the shore and 70 meters from the shore to the child. You run along the shore and for a while and then jump into the water and swim from there directly to child. You can run at a rate of 3 meters per second and swim at a rate of 1.1 meters per second....
answer and explain 3,4,5&7 please. help is much
appreciated. just some deeper thinking and application into biology
concepts
3. Humans have disrupted the cycling of several nutrients (C N, P, S, etc). Choose three nutrients and fill in the following table. (3pts) 0.5pt per middle or right column Nutrient Human disruption Function of the nutrient at the cellular level Carbon Phosphorous Nitrogen 4. Climate change and other anthropogenic impacts on the ecosphere are predicted to impact NPP. Fill out the...
Can you explain how to solve this problem. Thank you so
much.
6. Suppose Z~ N(0,1) and Y = e. a) Find the edf F(u) and pdf f() for Y. Note that for the edf F(y), you can't obtain a closed form - the best you can do is to write it in terms of, odf of the standard normal distribution. b) Express the 0.33 quantile of Z and the 0.9 quantile of Y in term of 0-1 c) Find...
Problem Suppose you are given the following macroeconomics data (in million) about an economy: Aggregate Demand: ??=?+?+?+?? Short-run Aggregate Supply (SRAS): ?=20,000? ❖ ? is the aggregate price level. ❖ Consumption spending: ?=??,???+?.???−??,???? ❖ I = $5,000 G = T = $200 X = M = $1,000 A. Find the equation for the AD curve for this economy. (1 point) B. Find the short-run equilibrium level of real GDP (???) and the aggregate price level (?). (2 points) C. Assume...
You are given an algorithm that uses T(n) a n2b.3" basic operations to solve a problem of size n, where a and b are some real non-negative constants. Suppose that your machine can perform 400,000,000 basic operations per second (a) If a = b = 1, how long does it take for your algorithm to solve problems of size n = 10, 20, 50. For each size of n, include the time in seconds and also using a more appropriate...
PRACTICE IT Use the worked example above to help you solve this problem. A ball is thrown upward from the top of a building at an angle of 30.00 to the horizontal and with an initial speed of 19.0 m/s. The point of release is h = 46.0 m above the ground. (a) How long does it take for the ball to hit the ground? 4.183 (b) Find the ball's speed at impact. 35.532 m/s (c) Find the horizontal range...