A life annuity on (x) provides for benefits made continuously for 2 years, provided that (x) is alive. The annual rate of payment at time t is c(t), defined by t, c(t) Ost<1, 1

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A: At t = 0 units,   C(t) = C(0)  = Co + C1 At t = TR units, C(t) = C(TR) = Co + C1/e   dCdt= qVC1-C

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A: Given:The differential equation is (x2-2x-3)y”+xy’+4y=0

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A: Given, P0 is the initial population at t = 0 and k depends on the rate of growth Population usually…

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Q: For the Initial Value Problem given below:

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Q: 0. Suppose that x is the yield to maturity with continuous compounding on a zero-coupon bond that…

A: dB =[ (?B/?x) a(x0-x) + ?B/?t + ( 1/2) (?2B/?x2) s2x2] dt + (?B/?x)sxdz Since: B= e -x(T-t) The…

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A: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

Q: Find the linearization L(x) ofy = e8# ln(x) at a = 1. L(x) =

A: We will use formula for linearization at one variable.

Q: Solve the initial-value problem for x as a function of t . dx (2t3 – 2t? + t – 1) - 3, г (2) — 0 dt

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Q: e largest interval in wh

A: In this question, the concept of Interval of Unique solution is applied. Given, the Differential…

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A: Given: Lorenz curve for first year: y = 0.97x2.1 And for the next year: y = 0.35x2 + 0.65.

Q: 1. Let X be a lifetime (in hours) of a lightbulb and suppose that X has a PDF of (e0.001x f(x) = {…

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Q: Let y(t) be the solution of the initial value problem y" – y/ – 6y = 0, y(0) = a, y (0) = -6. Find…

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Q: 1. The pdf of the future lifetime, T, for (x) is assumed to be 0<t<90 f;(1)={ 60 0. ;elsewhere At a…

A: Given the pdf of the future lifetime, T, for (x) : fTt=160   ;  0≤t≤90  0      ; elsewhere and the…

Q: (a) Integrate x ln(x + 1)dx analytically; and numerically using (b) trapezoidal rule with iterations…

A: As per the rules we can solve only 3subparts per questions so I'm solving a,b,c

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A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY

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Q: A more detailed version of Theorem 1 says that, if the function f(x, y) is continuous near the point…

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