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Consider Figure below. You will notice that this Hyperbolic Paraboloid has the equation z = (x/2)2 - (y/3)2 = (x2/4) - (y2/9). For simplicity we give this function the name f(x, y) so that f(x,y) = (x2/4) - (y2/9).
a. Notice that all of the vertical traces are parabolas whether these vertical traces are in the planes x = a or in the planes y = b, where a and b can be any real numbers. Which of these vertical traces are parabolas opening up and which are parabolas opening down?
b. Is fxx positive or negative?
c. Is fyy positive or negative?
A cereal manufacturer seeks to test their newest product against a competitor's. A group of 100 children was asked to evaluate each brand, and then to express a preference. To guard against bias, neither the children, nor the technicians serving t..
Let diamond-sin(t) give the y-coodinate of a point that is t units counterclockwise along the perimeter of the diamond from the point (1,0).
a television network has eight 60-minute time slots for dramas and has 15 shows to choose from for the fall lineup. How many different lineups are possible?
The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?
The number of new contributors to a public radio station's annual fund drive over the last ten years is. Develop a trend equation for this information, and use it to predict next year's number of new contributors.
A shipment of 7 television sets contains 2 defective sets. A hotelmakes a random purchase of 3 of the sets. If x is the number ofdefective sets purchased by the hotel, find the probability distribution of X.
What is the point of intersection of the two graphs? What information does this give us?
What points overlap? where would you deploy personnel or focus attention?
Use the given information to draw the graph of f(x) on an interval near the indicated point (x=3). If there is not enough information given, then state this fact.
What will be your total profit and how many items will be accepted as good products - How many items will be refurbished products?
Suppose that f is continuous on [a,b]. Prove that f is integrable, i.e., ( the integral symbol with b at top and a at the bottom) f exists.
a body at an unknown temperature 'y' is placed in a room which is held in a room which is held at a constant temperature of 30'F. if after 10 minutes the temperature of the body is 0'F and after 20minutes the temperature of the body is 15'F, find ..
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