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Assume G is a multiplicative group and g element G. The centralizer of g is the set of C_g= {h element G| hgh^(-1) = g}. Prove that C_g is group with law of composition of G. Please do not just cop
A student currently has $16,000 in debt from the student loan with 6% annual interest, If they don't make any payments, how much money will the student owe after five years? Write down a recurrence
Suggest a tetrahedron with following vertices (x,y,z): (2,2,2), (3,2,2), (2,3,2) and (2,2,3). Rotate the tetrahedron about the origin and around the z axis at 45 degrees counter clock wise.
Assume {an} from n=1 to infinity converges to A, and find out a new sequence {bn} from n=1 to infinity by bn=(an+a(n+1))/2 for all n. Prove that {bn} from n=1 to infinity converges to A.
When planning a party you desires to know whom to invite. Among people you would like to invite are three touchy friends. You know that if Jasmine attends, she will become unhappy if Samir is there
An inspector working for manufacturing company has 99% chance of correctly determining defective items and a 0.5% chance of incorrectly classifying a good item as defec- tive. The company has evide
Management of Davis's Department Store has employed time-series extrapolation to forecast retail sales for the next four quarters. The sales estimates are $100,000, $120,000, $140,000, and $160,000
Use the enhanced Euler's technique to approximate the solution to the initial value problem y= x/y, y(0) = ?1 at the point x =0.5, using steps of size h =0.25. Compare your answer with the actual s
Use Secant technique to find out a solution to cos(x)=x, and compare the approximations and convergence rate with those given by the Newton Raphson method.
A spymaster has network of 10 operatives whom he pays out of slush fund containing $32000. For accounting reasons, his service requires him to employ up his whole fund and to pay his operatives in i
Make a tree which models the following condition. A player decides to play maximum of 4 times, betting upon red each time. The player will quit after losing twice. In tree, any possible last plays w
You decide to invest $100,000 in the program that is guaranteed to grow by 2.5% for each of next five years. At the end of the five years, how much is your investment worth?
A cardbord leans against the sphere x^2 +y^2 +(x-3)^2 = 9 at the point (2,-2,4). Determine the equation of the line which is the intersection of the cardbord with the xy-plane, i.e with z = 0.
Describe that every two successive term of the Fibonacci sequence are relatively prime hint (write down the explicit definition by induction of this sequence)
Suggest the linear optimization model Maximize 3A + 4B subject to -A + 2B ? 8 A + 2B ? 12 2A + B ? 16 A, B ? 0 Graph the constraints and identify the feasible region.
Suggest a 2D line with end points (1, 1) and (4, 5). Rotate this line by 45 degrees about a point (1, 1). Reflect it around y axis.
Reiser Sports Products desires to find out the number of All-Pro and College footballs to produce in order to maximize profit over the next four-week planning horizon.
A woman bails out of airplane at the altitude of 10,000 ft, falls freely for 20 s, then opens her parachute. How long will it take her to reach the ground? Suppose linear air resistance pv ft/s^2, t
Determine the amount of water, in cm, lost due to the combined effects of evaporation, transpiration, and infiltration to ground water. How much runoff, in cm, disappeared from watershed as stream f
If evaporation as well as transpiration combined are 6 inches, and change in storage is 0.5 inches because of raised moisture in the soil, how much is runoff produced? If the time period considered
Given that the amount of precipitation is 1 inch as well as evaporation is 4 inches, determine the change in storage of the lake? Does the water level rise or fall?
The velocity v of a falling parachutist is given by v = gm/c (1-e^{-(c/m)t}) where g = 9.8m/s^2. For a parachutist with a drag coefficient c = 15kg/s, compute the mass m so that the velocity is v =
Assume G is a multiplicative group and g element G. The centralizer of g is the set of C sub g= {h element G| hgh^-1 = g}. Prove that C sub g is group with the law of composition of G.
Anna surveyed the prices for regular unleaded gasoline at the area gas stations. The sample data, in dollars per gallon is summarized as follows: $ per gallon No. of Stations 3.49 2 3.59 5 3.69 11 3
The demand and supply curves for product are given in terms of price, p, by q= 2900-40p and q=10p-600. a) Determine the equilibrium price and quantity.