14. (A problem of Steinhaus) Consider the sequence beginning with x=1 and x = a which satisfies the recur- sion: Xn = Xn-2 - Xn-1 · %3D Find all values of a for which the sequence has only positive terms. [Hint: solve #12 first, and look carefully at how the sequence in #12 approaches its limit.]

Q: 2. An exponential function, f(x), passes through (4,-2) and (5, 10) and has a horizontal asymptote…

A: Step 2: Step 3: Step 4:

Q: 14) The half-life of carbon-324 is 700 years. I have 400 grams of carbon-324 right now. How much…

A:

Q: 1 Early Monday morning, the temperature in the lecture hall has fallen to 41°F, the same as the…

A: Given thatTime Constant for the building  Time constant for the building along with heating system…

Q: Payments under a continuous perpetuity are made at the periodic rate of (1 + k) at time t. The…

A:

Q: 2. The population of a small island nation was 10 thousand people in the year 2000. By the year…

A: Population in year 2000 = 10,000Population in year 2020 = 11,000

Q: An elevator moves up and down so that its height at time t is given

A: a) The velocity is defined as the rate of change of distance vt=dhtdt  =dt3-9t2dt  =3t2-18t

Q: 4. The growth rate of a colony of ants is given by the formula 10t 2 (1+t²)² where t is measured in…

A: The growth rate of a colony of ants is given by 10t/(1+t2)2 Initially there are 100 ants ∴ Number of…

Q: There is a rectangle whose shape is changing over time. In the initial time to, it is a perfect…

A: Solution: Let length = l and width = w At initial time to it is perfect square. Area of square = 100…

Q: Exercise (b) How many bacteria are there after t hours? Step 1 If there are two doubling periods per…

A: Therefore, after t hours (or 2t doubling periods), the initial 600 bacteria increase to a population…

Q: Find ds ldx if y=3) X(X+1)(x-2) (x² +1) (2x+3)

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…