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A postcard is 6 in. by 4 in. A printing shop will enlarge it so that the longer side is any length up to 3 ft. Find the dimensions of the biggest enlargement.
The problem states: Find dw/dt (a) using the appropriate chain rule and (b) by converting w to a function of t before differentiating.
Describe the shape of the histogram. The probability that there are five first-shift workers. The probability that there are four second-shift workers.
Helium is pumped into a spherical balloon at a constant rate of 2 cubic feet per second. How fast is the radius increasing after 3 minutes? At what time (if any) is the radius increasing at a rate of 120 feet per second?
Use a graphing device to graph the polar curve. Choose the parameter interval to make sure that you produce the entire curve.
A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. Prove the following:
if a 560-N woman stands on top of a very tall ladder so she is one Earth radius above Earth's surface, how much does she weigh in newtons.
find the volume V generated by rotating the region bounded by the given curves about x = 4.
A 140 ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire ne..
How many different 4-card hands are possible? How many different 4-card hands contain a number less than 7?
Calculate the number of bridge hands which contain and calculate the probability of being dealt each of the hands in parts (a), (b), and (c). Give your answers to 5 decimal places.
What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 104 in. cubed, and is constructed using the least amount of material? (Round your answers to two decimal places.)
He collects data on 25 individuals' television viewing habits and finds that the mean number of hours that the 25 people spent watching television was 23.7 hours with a standard deviation of 7.5 hours, can we conclude at the 1% significance level ..
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