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Cubic Splines: Natural and Clamped
(i) Calculate the natural cubic spline f(x) for the following data and then determine 1(1.5). (Use 3 significant digits.)
Xk: 0 |1| 2 | 3Yk: 1|3|1.5|-2
(ii) Calculate the clamped cubic spline g(x) for the same data as above but where g/(0) = 2 and g'(3) = -1. Determine the value g(2,6). (Use 3 significant digits.)
Solve the equation on the interval.
Odds and probability, A casino states that the house odds (note: house odds are the odds that the gambler will lose) for a certain game are 23 to 2.
Find a definite integral that represents the arc length of the curve over the indicated interval and observe that the length cannot be evaluated with the techniques studied so far
Linear programming problem consisting of only two constraints with one objective function.
Integrating a differential equation given the initial values and exponentiate both sides of the equation for to solve for P(t)
Application of differential calculus in economics: Profit, Cost and Revenue function - What production level maximizes profit?
On a recent English test, students were given the names of four authors and four novels (one author one title), and asked to match each novel, with the correct author. If a student just guesses randomly, what is the probability of getting zero, on..
Important information about Binomial Random Variable, Four cards are selected, one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in a set of 4 cards.
The postal service provides at least one good example of a function with jump discontinuities. What is one such function, taken from the postal service or some other real life example?
Compute the estimate for the standard error of the difference between two proportions.
Find the derivative of the function.
Calculate the exact values.
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