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A company wishes to manufacture a box with a volume of 24 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necessary.
To make a conjecture about the tangent lines and the graph with the proof of the conjecture - Find the distance between the functions is greatest, and prove your conjecture.
Suppose the velocity v (in m/s) of a some moving object can be computed by the formula v=10t+4, where t (in s) is the time elapsed. What is the biggest possible error (worst case) of v if the error in the measurement of t is known to be less than 0..
Illustrate each of them with examples. Determine whether the following vectors in R3(R) are linearly dependent or linearly independent.
An extension ladder adjusts in length from 10 ft to 16 ft. Suppose you've leaned your ladder against your house, so that, at its minimum length, it touches the base of your first floor window, 9 feet above the ground.
A 240 horsepower car beginning at a stop goes 1/10 of a mile. At optimum performance, what is the maximum speed in miles per hour the car can reach? Feet per minute?
How much revenue was earned in each of the three categories of books?
On a 10-question multiple choice test there are 5 possible answers for each question, of which 1 is correct and the other 4 are incorrect. If a student guesses randomly and independently, what is the probability of:
Find the upper & lower confidence limit.
To estimate the proportion p of passengers who had purchased tickets for more than $400 over a year's time, an airline official obtained a random sample of 75. The number of those purchasing tickets for more than $400 was 45.
Queuing Analysis: Cost comparisons, All trucks traveling on a major highway must stop at a weigh station. Trucks arrive at a rate of 200 per 8-hour day. The station can currently weigh on average 220 trucks per 8-hour day.
Find the total distance from the given particle - Evaluate the total distance traveled by the particle from t = 0 and t = 4
A rectangular storage container with a lid is to have a volume of 16 m3. The length of its base is twice the width. Material for the base costs $8 per m2. Material for the sides and lid costs $16 per m2. Find the dimensions of the container which ..
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