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Consider the constants A, B, C and the function
f(x, y) = Ax^2 + Bxy + Cy^2.
Show that the only choice of coefficients A, B, C giving ∂^2f/∂x^2+∂^2f/∂y^2= 2,
are A=1-s2
B=s1
C=s2
where s1, s2 are arbitrary.
A theater has 675 seats. There are three times as many seats in a row as there are rows. How many rows and how many seats are there?
The sides of a triangle are in the ratio of 3:4:5. If the perimeter is 90 centimeters, find the length of each side. Use the Pythagorean Theorem to find the length of the missing side in right triangle. Triangle ABC with right triangle C.
Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 12 cm/s, find the rate of change of the radius when the radius is 18cm.
What type of sampling? the population consists of all 250 students in your large statistics class. You plan to obain a simple random sample of 30 students by using the sampling frame of students present next monday.
Rate of change over the time intervals .
Have you ever walked into a Wal-Mart store to find an item out of stock? Using the concepts discussed forecasting and in this module economic order quantity, address the following questions: How does Wal-Mart ensure that its shelves are always full? ..
Describe applications of the Cartesian coordinate system to plot a real-world situation. In your description, indicate the characteristics of each coordinate, and a point in terms of specific x and y coordinates.
You have a rectangular piece of cardboard that you want to fold into a box. It occurs to you that you can cut out an equal square from each corner of the rectangle, make a crease along each side and fold them up.
project overviewin this final part of your project you will cover step 4 of the statistical analysis process -
How far is the sailboat from the lighthouse, to the nearest kilometer? (50 kilometers going up and down and 130 kilometers going side to side)
Describe the order of operations and explain how it is used to simplify expressions. Explain specifically the order in which mathematical operations must be performed to correctly simplify an expression.
Using graphing to check your answers is helpful. When you factor a trinomial into two binomials, each binomial represents a linear relationship. If you plot the two binomials (which are just lines) on a graph
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