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Problem 1: You are standing at the edge of a slow-moving river, which is one mile wide, and wish to return to your ground on the opposite side of the river. You will swim at 2 mph and walk at 3 mph. You must first swim across the river to any point on the opposite bank. From there walk to the ground, which is one mile from the point directly across the river from where you start your swim. What route will take the least amount of time?
Problem 2: A cylindrical can is to hold 20 m3. The material for the bottom and top costs $10/m2 and material for the side costs $8/m2. Evaluates the radius r and height h of the most economical can.
Problem 3. Show that an equilateral triangle provides the most area for a fixed perimeter.
Problem 4. The sides of an equilateral triangle are decreasing at a rate of 4 in/hr. How fast is the area enclosed by the triangle decreasing when the sides are 3 feet long?
Problem 5. What angle should my son aim his stomp rocket to get the maximum range? Justify your answer using methods from this class.
Problem 6. If he sets the launcher on a chair and goes for maximum range, how high will it go and at what time will it hit its apogee?
How far is the sailboat from the lighthouse, to the nearest kilometer? (50 kilometers going up and down and 130 kilometers going side to side)
Maria went to the ladies fashion store and bought a dress on sale at 120.95. the dress reduced an extra 15% off What was the total price of the dress including 12% tax?
Graph the functions y=x and y= square root of x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
write a quadratic equation in the varible x having the given numbers as solution type the equation is standard form ax^2+bx+c=0 solution -3,1
A rescue Helicopter at an altitude of 200 m spots two lost girls at the same time. Xavia is at an angle of depression of 13 degree. Yelena is at an angle of depression of 13 degree.
A ship travels due west for 550 km then travels N40 degrees west. (bearing 320) For 700 km. How far is the ship from its staring point?
the perimeter of a playing field for a certain sport is 188 ft. the length is 46 ft longer than the width. find the dimensions.
The number of days off taken by 30 police detectives in a given year is provided below. Develop appropriate intervals and create a histogram for the data.
train A travels at a speed of 40mph and train B travels at a speed of 60mph. Train A passes the station at 1:25, at what time will train a catch up to train B
Suppose that each of the players has a defined strength (all different), and the strongest player wins each match. then is it clear that the first prize goes to the strongest of all the players. what is the probability that the second prize goes t..
Two ships leave port at the same time. Ship X is heading due north and Ship Y is heading due east. Seven hours later they are 350 miles apart. If the Ship X had traveled 280 miles from the port, how many miles had Ship Y traveled?
An airplane flies between two cities 650 kilometers apart, traveling with a wind of 35 miles per hour going, and against the same wind when returning
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