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One airplane is approaching an airport from the north at 201 km/hr. A second airplane approaches from the east at 242 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 28 km away from the airport and the westbound plane is 24 km from the airport.
use a combinatorial proof to show the summation of k=0 to the P elements- (n/p) (m/[p-k])=([n+m]/p)
Prove the triangle inequality starting with: |V+W|^2. You must use Re (less than or equal to) | | and the Schwarz inequality.
What was the annual interest?
What is the shadow price for the fiber constraint's RHS? Over what range of values is it valid?
Use the leading coefficient test to determine the behavior of the function.
One study found that, all other things being equal, the number of seconds that a yellow light should be on is a linear function of the width of the crossing-street in feet.
The yearly production of a 5 foot orange tree is 36 pounds of oranges. A 14 foot tree produces 72 pounds. What is the predicted production of an 18 foot tree?
Suppose you win a lottery and you can take either $1400 in a year or $1000 now. Suppose also that you can invest the $1000 now at 6% interest. Decide which is a better deal and by how much.
The life span of a battery is normally distributed, with a mean of 2400 hours and a standard deviation of 50 hours. What persent of batteries have a life span that is more than 2455 hours?
Find the mean, median, and range for each of the two data sets.
A rancher has 60,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?
What are the dimensions of the box that would maximize the volume.
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