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Properties of Splines and Linear Transformations
Show that the set of natural cubic splines on a given know partition x_0 < x_1 < ... < x_a is a vector space, V say. Show that V is of dimension n + 1.
Why is differentiation not a linear transformation from V to V? What is the image of V under the operation of taking the second derivative?
Probability values.
Calculate probabilites of gettin from 0 to 5 clubs on a hand. What is the probabilty of gettin 2 or fewer cubs of 5 cards?
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.
The sampling distributions of a sample statistic
Calculate the coefficient of multiple determinations
To find the rate of increment in the height of conical pile at a particular point using differentiation.
Calculate the probability.
Important information about Elliptic boundary value problem (lap) means the Laplacian Vrr means the second derivative of V with respect to r
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2.
Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x
Write a simplified expression for the weekly revenue and Construct a table of values and graph the function
What was the smallest possible number of people? What are all possible numbers of people?
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