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Question: A bowl has the shape of the graph of y = x4 between the points (1, 1) and (-1, 1) rotated about the y-axis. When the bowl contains water to a depth of h units, it flows out through a hole in the bottom at a rate (volume/time) proportional to √h, with constant of proportionality.
(a) Show that the water level falls at a constant rate.
(b) Find how long it takes to empty the bowl if it is originally full to the brim.
Test car A is traveling at a rate of 146 . Test car B is traveling at a rate of 93 . Which car is moving at the faster rate?
Find the value of the second derivative off at the given value of x. Express your answer correct to four decimal places.
What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2500 per day?
Recall that F = F3[x]/ is a finite field of order 32. Find a primitive element and write out the cyclotomic cosets along with their minimal polynomials
1. If the result of a hypothesis test for a proportion is statistically significant, then 2.Suppose a 95% confidence interval for p, the proportion of drivers who admit that they sometimes run red lights when no one is around, is 0.29 to 0.38. Whic..
Janet can shovel snow from her driveway in 50 minutes. Tom can do the same job in 35 minutes. How long would it take Janet and Tom to shovel the driveway if they worked together?
Find the largest possible product of such numbers.
Find the mean, median, and range for each of the two data sets.
Final exam scores in a mathematics course are normally distributed with a mean of 66 and a standard deviation of 8. Based on the above information and a Z-table, fill in the blanks.
A street light is mounted at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path
Find the critical value for this hypothesis test.
Show that the circuit Figure may be analyzed on the basis of a state variable model with only two dimensions in spite of the fact that at first glance.
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