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Let S be the surface area of a closed box of length L, width W, and height H. The box dimensions are changing with time. At a certain instant dimensions are L = 3 and W = H = 5. At that instant L and W are increasing at a rate of 10 m/s while H is decreasing at a rate of 1 m/s. Find the rate at which the surface area S is changing at that instant.
Probability Slips of paper marked with the numbers 1,2,3,4, and 5 are placed in a box. After mixing well, two slips are drawn.
A toy maker finds that it costs C = 250 + 3.3xdollars to manufacture x toy trucks. If the budget allows $3,500 in costs, how many trucks can be made?
Assuming air resistance is negligible, the rocket is launched from a height of 2 feet, and the maximum height attained by the water rocket is 66 feet, determine the initial velocity of the rocket. That is, find the velocity of the rocket at the mo..
A particle moves along the graph of the function y=8/3x^3/2 (the 3/2 is the exponent on the x) at the constant rate of 2 units per seconds.
Use the Laplace transform to solve the given system of differential equations.(d^2 x)/(dt^2 )+(d^2 y)/(dt^2 )=t^(2 ) (d^2 x)/(dt^2 )-(d^2 y)/(dt^2 )=4t x(0)=8 x^' (0)=0 y(0)=0 y^' (0)
How large a sample size will need to be selected if we wish to have a 95% confidence interval that is accurate to within 1%.
A boat can travel 46 mph in still water. If it travels 270 miles with the current in the same length of time it travels 190 miles against the current, what is the speed of the current?
Probability when throwing five six-sided dice, Compute the probabilities for each of the following when you throw five-six handed dice.
Solve the logarithmic equations
How many readers suffering from depression were included in the report? Of those included in the report and how many felt better using prescription drugs or mediation?
What type of sampling? the population consists of all 250 students in your large statistics class. You plan to obain a simple random sample of 30 students by using the sampling frame of students present next monday.
If A has eight unique elements and B has eight unique elements, how many one-to-one functions would there be? Also, I'd like to know how many there would be if A happened to have less elements than B or if B had less elements than A.
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