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Describe what is going on the graphical model of the ferret life-cycle. How long to ferrets live? What are the population classes being considered?
Let a = 5200 and b = 1320.If a is the dividend and b is the divisor, determine the quotient q and remainder r. Use the Euclidean Algorithm to find gcd(a, b).
Apply a naive regular perturbation of the form x ∞∑n=0 xnεn as ε→0+ do derive a three-term approximation to the solutions of (1).
Assume you are an event coordinator for the large performance theatre. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour.Use the quadratic equa
Use mathematical induction to prove that 7|(8n - 1) for all positive integers n. Use strong induction to show that every positive integer n can be written as a sum of distinct powers of two, that is
The Tweedle Dee and Tweedle Dum brothers each own bakeries which sell only scones. Tweedle Dee's bakery is on the west side. Tweedle Dum's bakery is on the east side of wonderland.P1(x) = -x2 + 120x
State clearly the amplitude, phase shift, period and the equation of the midline. Elucidate why f has no inverse function. You must include an example to support your explanation.
Consider the game. A player rolls two dice. If the result on both dice is similar (doubles), the player wins $5. If the sum is 7 or 11, the player wins $3.
Given the vectors u = 3i – 2j + k, v = i + 2j – 4k, w = -2i + 4j – 5kFind the angle between u and v (to nearest degree). Find a unit vector normal (perpendicular) to the plane of the
Prove Rouche’s Theorem Suppose f,g are both analytic inside a simple closed contour c if ∀ z∈c, |f(z) |<|g(z) | then f,g have the same number of zeros inside contourc, counting
Consider the two player Problem of Points set up, where the game consists of n rounds, and where player A has won a rounds and Player B has won b rounds. Demonstrate that according to Pascal-Fermat
Use the method of steepest descents to derive the full asymptotic expansion of I2 in the limit e → 0. You will have to treat the cases s > 0 and s < 0 separately, although much of the wor
Determine if the following are subspaces of R2. Justify your answer. If a set is not a subspace, indicate what axiom is not satisfied.Determine the nullspace N(A).
Suppose the arrival times of phone calls in a help centre follow a Poisson process with rate 20 per hour (so the inter-arrival times are independent exponential random variables).
Use the Monte Carlo method and one of the other two methods to estimate the area of the gold in pendant. Fully justify your method with all graphs, formulae, spreadsheets shown and research done for
The binary search algorithm has a smaller "Big(O)" notation than the linear search algorithm and is, therefore, the more efficient algorithm. True or false.
Prove that for each n the set Pn is countable. Prove that A, the set of all algebraic integers, is countable.
The topic for the project is Complex Variables and RLC Circuits, although you may choose a different title. The purpose is to research how complex numbers facilitate some of the calculations in circ
Four different written driving tests are administered by the city. One of these tests is chosen at random for each applicant for a driver’s license.
Suppose research on three major cell phones companies revealed the following transition matrix for the probability that a person with one cell phone carrier switches to another.
Find two different news stories in a mainstream media source (CNN, FoxNews, Newsweek, etc.), which cite data from a recognized poling agency. Locate the original poll, summarize the poling procedure
Determine the solution of the homogeneous system of equations Rx = 0 in parametric vector form.
Let A be a nonempty set. Define the relation R on the nonempty subsets of A by (X; Y) ε R if and only if X ∩ Y ≠ Φ. Determine whether R is (i) reflexive, (ii) symmetric, (iii) ant
Discuss Perron-Frobenius theorem and how it can be used to prove global stability of solutions(Give an example). Discuss the stability of solutions of non-autonomous system dx/dt=f(x,t).
Find a statistics study (from the newspaper article, journal, research study, or online article) and explain the five-step process of the study.