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Consider the following elements of the vector space P3 of all polynomials of degree less than or equal to 3.
p(x)= x-1, q(x)=x+x2, r(x)= 1+x2-x3
Do these three polynomials form a basis for P3?
If I am correct, the answer guide says this one converges but my answer is going to infinity which is diverges. I need to see your steps to compare with mine please.
what is the probability that equivalence is indicated at 100 mL. what is the probability that equivalence is indicated at less than 100 mL
Given the following probability distribution for asset Y, compute the expected rate of return, variance, standard deviation, and coefficient of variation for the assets.
Customers arrive into a queue, where they are served, and then depart. We model the time between two successive arrivals by an exponential distribution with an arrival rate l=9
An office manager has four employees and nine reports to be done. In how many ways can the reports be assigned to the employees so that each employee has at least one report to do.
Random Variables and Probability -Sampling Without Replacement, Not all the selected light bulbs are defective.
What is the probability it would be a student, a faculty member, an admin staff member, a faculty or admin staff member and anyone except an admin staff member?
Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) with the initial conditions a(0)=0 and a(1)=2. Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) +12 with the initial conditions a(0)=0 and a(1)=2.
Use mathematical induction to solve the equation.
Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
Write a linear-time Boolean function HEAP(T:BINARY_TREE) which returns TRUE is T is a heap, i.e., it is partially ordered. Assume that T is represented using pointers to left and right children.
The following model is proposed to describe population growth in a confined space. The excess of births over natural deaths causes a growth rate of a times the current number of individuals N.
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