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Consider an elliptic paraboloid
f (x, y) = 4 - x2 - y2/4.
a. Find the xy-, yz- and xz-traces of the graph of f(x, y) and sketch the graph.
b. Write down the equation of the level curve which passes through a point (2.4). Sketch the level curve.
c. Find the unit vectors in the directions of the steepest descent and the steepest ascent at (2, 4). Mark these directions on the graph in (b).
d. Verify that the gradient at (2, 4) is orthogonal to the level curve through this point.
(e) Write down the equation of the tangent line to the level curve at (2, 4).
Modify the Test Score application so that it uses Big Decimal arithmetic to calculate the average test score with result rounded to 1 decimal place. Note that because the scoreCount and scoreTotal are int, you don't have to create the Big Decimal ..
The perimeter of rectangle z is equal to its area. Rectangle y has the same perimeter as rectangle z. The length of rectangle y is five inches and the width is three inches. Explain how you can find the length.
If the vertices of quadrilateral PEAR are P(-3, 0), E(0, 4), A(5, -6), and R(-1, -4), show, using coordinate geometry, that quadrilateral PEAR is not an isosceles trapezoid.
a bernstein copula is a nonparametric copula which can be described by a given grid resolution and an associated
e customer (i.e. you design your strategy by looking primarily at what your customers want) or competitor (i.e. you design your strategy based on the actions of your competitors) oriented.
Elena's daughter sold 18 boxes of Girl Scout cookies. she was told that this amount represented 5% of the trop's sale. How many boxes did the troop sell?
A trough is 10ft. long and its ends have the shape of isosceles triangles that are 3ft. across at the top and have a height of 1ft. If the trough is being filled w water at a rate of 12ft3/min,
If you were given a large data set such as the sales over the last year of our top 1,000 customers, what might you be able to do with this data? What might be the benefits of describing the data?
How many dozen of each shirt can this company produce in one week assuming that the machines are used to maximum capacity?
A jeweler has three small solid spheres made of silver, of radius 2 mm, 6 mm, and 6 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
find the margin of error for the given values of c s and n, and c=0.95, s=2.9,n=49
Explain how to calculate the derivative of a polynomial function and provide an example to illustrate your explanation.
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