If X~U(0,1) then Y=-In{1-X)~ Exponential (^) Pleose Show
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A: handwriting solution
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A: Given information: It is given that a stock’s daily log price follows a Random walk 1 with a drift.
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A: To calculate the integral
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A: To apply the rules for derivative of composite functions
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A: Recall: Logistic growth model P(t)=m1+m-PPe-ktWe have, P=175, m=2000, k=60%=0.60, t=5 years
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Q: Use limit methods to determine which of the two given functions grows faster, or state that they…
A: fx=x2lnx gx=ln2x⇒gx=lnx2 limx→∞fxgx=limx→∞x2lnxlnx2limx→∞fxgx=limx→∞x2lnx
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- Einsteinium-255 is a radioactive substance that decay at a continuous rate of 1.65% per day find the half-life of einsteiniu,-255So far I put 12/100 and started to break it down to ln3/25 ---> ln3 - ln 25 but I'm not sure if ln25 turns into 1.6 + 1.6 or 1.6 x 1.6.What exponential function will pass through both (0,6) and (1,3)?
- A sample of bacteria taken from a river has an initial concentrationof 2.5million bacteria per milliliter and its concentration triples each week. Find an exponential model that calculates the concentration (in millions) after x weeks. Estimate the concentration (in millions) after 1.8 weeks b(x)=express ln 3√4 in terms of ln 2 and/or ln 3Today there are 500 ants on an colony. They breed with a constant continuous growth rate of 20% per year. To three significant figures, how many ants will be on the island after 5 years?
- Expand ln 3√y3z2/x4 as a sum, difference and/ or the consent multiple of logarithms.Radiocarbon dating is a method used by scientists to estimate the age of ancient objects that were once living matter, such as bone, leather, wood, or paper. All of these contain carbon, a proportion of which is carbon-14, a radioactive isotope that is continuously being formed in the upper atmosphere. Since living organisms take up radioactive carbon along with other carbon atoms, the ratio between the two forms remains constant. However, when an organism dies, the carbon -14 in its cells decays and is not replaced. Carbon-14 has a known half-life of 5730 years, so by measuring the concentration of carbon-14 in an object, scientists can determine its approximate age. One of the most successful applications of radiocarbon dating has been to determine the age of the Stonehenge monument in England . Samples taken from the remains of wooden posts were found to have a concentration of carbon-14 that was 45% of that found in living material. What is the estimated age of these posts?A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. After 9 minutes there are 1,000 bacteria and after 15 minutes there are 3,000. How many are there after 33 minutes? Do NOT approximate any values.
- A field currently holds 20 tulips. The number of tulips will grow by 70% each year. The field can only sustain 300 plants. Use th logistic growth model to predict the population in the next 3 years.The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the present value and accumulated amount if interest earned is 3.5% compounded continuously.Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2500 bacteria selected from this population reached the size of 2947 bacteria in six hours. Find the hourly growth rate parameter. This is a continuous exponential growth model.
