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Question: Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 21, and let p(t) = - 1 + 8t2 + 8t3. Find the coordinate vector of p relative to B.
Exercise: The first four Hermite polynomials are 1, 2t, - 2 + 4t2, and - 12t + 8t3 These polynomials arise naturally in the study of certain important differential equations in mathematical physics.2 Show that the first four Hermite polynomials form a basis of P3.
Combining the information above, find the probability that the xth opportunity is a close call (that it occurs immediately before the nth shock).
An investment grows by 23% over a 3-year period. What is its effective annual percent growth rate?
Let A = {1, 2, 3, 4, 5, 6,12} and define the relation R on A by m R n iff m|n. Show that this relation is a partial ordering relation. Draw its Hasse diagram.
It travels 430 going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Calculation involving a change in blood pH. Although the pH of human blood is normally between pH 7.3-7.5, certain situations can take place which bring about "acidosis." Acidosis is defined as an abnormal lowering in the blood pH
Convert the integral to rectangular coordinates with the order of integration dz dx dy. Convert the integral to spherical coordinates. Evaluate one of the integrals.
show that the given relations are contradictions.show that the following are contradictions a p lambda q lambda p nu q
Important information about Counting and probability, Find the number of possible combinations of picking 2 items out of 6.
We define the relation ≤ on the set of Boolean functions of degree n so that F ≤ G, where F and G are Boolean functions if and only if G(x1, x2,...,xn) = 1 whenever F (x1, x2,...,xn) = 1.
The monthly charge for a waste collection service is 30 dollars for 90 kg of waste and is 49 dollars for 190 kg of waste.
Dria is writing a piece of music she has decided to replace a three fourths note which takes up three fourths of a small section of music called to measure with 1/8 notes which each take up 1/8 of a measure .
a man deposits $500 in a savings account with a 5% annual interest. At the end of ten years how much money will be in the account?
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