Calculate the approximate population for the year

Assignment Help Mathematics
Reference no: EM13277837

Question 1

For Australia, the growth in population from the year 1990 can be approximated by the equation

P(t) = 17e0.0108t

where P(t) is the population in millions of people and t is time in years from the year 1990.

(a) What was the approximate population in 1990 (t = 0)?

(b) Using equation 1, calculate the approximate population for the year 2015 (t = 25).

(c) According to equation 1, in what year will the Australian population reach 30 million?

Question 2

In the electrical circuit shown in figure1, there is a self induced back electromotive force (emf) which opposes the change in current and
remains until the current in amperes increases from 0 to its final value, Vs/R . The circuit current at any time is:

where Vs is the Supply voltage in volts, R the circuit resistance in ohms, L the circuit inductance in henry and t is time in seconds.

Show how the inductance, L in?uences the current, I by sketching two curves of the current versus the time for a high circuit inductance, 1 H and a low circuit inductance, 10-3 H. Note that the self induced emf will always be less than the supply voltage so your current curves will never fall below 0 but will both reach a maximum limit of Vs.

Reference no: EM13277837

Questions Cloud

Calculate the exact abcd parameters of the line : assuming positive-sequence operation,calculate the exact abcd parameters of the line.compare the exact B parameter with that of the nominal II circuit.also compare the equivalent and nominal II circuit for the line.
Find the minimum angle,between the ladder and the ground : A uniform ladder of length L and mass 5 kg rests against a smooth, frictionless, vertical wall. Find the minimum angle,between the ladder and the ground at which the ladder will not slip
Explain magnesium metal burns in oxygen : Write a balanced chemical equation when Magnesium metal burns in oxygen to form magnesium oxide, MgO
What is the potential energy of the satellite-earth system : A satellite in Earth orbit has a mass of 106 kg and is at an altitude of 1.94 106 m.(Assume that U = 0 as r ? infinity), What is the potential energy of the satellite-Earth system
Calculate the approximate population for the year : What was the approximate population in 1990 and calculate the approximate population for the year 2015 (t = 25).
Compute the potential difference across each capacitor : A 0.50 microF and a 1.4 microF capacitor (C1 and C2, respectively) are connected in series to a 15-V battery, Calculate the potential difference across each capacitor
Discuss the patenting and pharmaceutical regulations : Discuss the patenting and pharmaceutical regulations for their drug discovery and development project. Outline the patentability aspects of your drug and outline a set of claims that could be used in a patent. Briefly document regulatory hurdles with..
What was the heat transfer into this engine : A certain heat engine does 10.2 kJ of work and 9.5 kJ of heat is transfered to the environment in a cyclical process. What was the heat transfer into this engine
Explain produce the most heat energy : When one mole of each of the following liquids is burned, which will produce the most heat energy. a. C5H12 b. C6H14 c. C6H10O d. C6H12O e. C6H14O

Reviews

Write a Review

Mathematics Questions & Answers

  Find the overall dimensions that will minimize

a poster is to contain 100 square inch of picture surrounded by a 4-inch margin at the top and bottom and a 2 inch margin on each side. FInd the overall dimensions that will minimize the total area of the poster.

  What is the height of the building

a building cast shadow 230 meters long at the same time a pole 2 meters high casts a shadow 10 meters long. what is the height of the building.

  Estimate the maximum error in the calculated surface area

The circumference of a sphere was measured to be 72000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.

  What is the minimum score that qualifies for the scholarship

Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. Clinton College would like to offer an honors scholarship to students who score in the top 10 percent of this test. What is the minimum score that quali..

  How many grams of each of the two alloys should be

A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 40% lead. How many grams of each of the two alloys should be used to make an alloy that contains 34 g of gold and 104 g of lead?

  Calculate the value of the test statistic

Calculate the value of  the test statistic  with the information given above.

  What is the measure of each arc

What is the measure of each arc? What type of figure results when A, B, and C are joined by segments?

  How much money can she withdraw each month

Sharon wants her savings to last exactly 25 years. How much money can she withdraw each month?

  Solving systems of equations by addition method

Indicate whether each system is independent, inconsistent or dependent

  Calculate the sampling error to within the average length

Calculate the sampling error to within the average length of time was estimated.

  Important information about statistics probability

Important information about Statistics probability, Packages from packing machine have a mass, which is normally distributed with mean 200g and standard deviation 2g

  Which part of the quadratic formula tells you

Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring and why?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd