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Question: Let f(v) be the amount of energy consumed by a flying bird, measured in joules per second (a joule is a unit of energy), as a function of its speed v (in meters/sec). Let a(v) be the amount of energy consumed by the same bird, measured in joules per meter.
(a) Suggest a reason in terms of the way birds fly for the shape of the graph of f(v) in Figure.
(b) What is the relationship between f(v) and a(v)?
(c) Where on the graph is a(v) a minimum?
(d) Should the bird try to minimize f(v) or a(v) when it is flying? Why?
Kira owes $6125 and agrees to pay $175 a month until paid. Let A represent the amount owed (in dollars) and let N represent the number of payments made.
For this discussion, consider changing one or more of these elements to address critical strategic issues you have identified for your selected firm. Then, craft a strategic recommendation that this firm could realize in no more than six months.
A group of hikers is descending a mountain at a rate of 400 feet per hour. What is the change in the elevation of the hikers after 6 hours
A large koi pond is filled with a garden hose at a rate of 10 gallons per minute. After 5 minutes the pond has 475 gallons of water. Find a linear equation that models the number of gallons y of water in the pond after t minutes.
Find the dimensions that minimize the total cost. You'll probably have to poke around a bit to find the formula for the surface area of a cone. Sketch a graph of the objective function, and check your calculus answer by locating the minimum on you..
It is known that 20 tickets were sold in advance and 15 the same day, for total receipts of $900 . What was the price of each kind of ticket?
Explain how don't care conditions can be used to build a circuit using OR gates, AND gates, and inverters that produces an output of 1 if a decimal digit is 6 or greater, and an output of 0 if this digit is less than 6.
Plot weight (on vertical axis) vs. age (on horizontal axis). Then use technology to find the best-fit quadratic model to approximate the data.
Explain the difference between intramodal and intermodal competition in the railroad industry. which form of competition is most beneficial to shippers? why?
Let P be the point (6,0), let Q be the point (0,4), and let R be the triangular region with with vertices at P, Q, and the origin. Determine the volume of the solid of revolution formed when R is revolved about the y-axis.
Find the speed and show that the maximum value of the speed is 15 and the minimum is 3. Specify the times at which the speed is maximum and the times that it is minimum for 0 ≤ t ≤ 3π/2.
Strontium -90 has a half-life of 28 days. Find a formula that gives the amount of strontium left after time t if you start one 200 grams. How long does it take for 80% of the Strontium to decay
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