
1. The U.S. middle class was 61% of class was 61% of all adults in 1971...
The annual amount of crude oil production in a country (in millions of barrels) can be approximated by the function f(t) = 868(1.099)', where t= 8 corresponds to the year 2008 (a) Find the amount of production in 2010. (b) of the trend continues, find the amount of production in 2020. (a) The amount of production in 2010 was million barrels. (Round to the nearest whole number as needed.) (b) of the trend continues, the amount of production in 2020...
For a certain endangered species, the goal is to have 2000 breeding adults in the wild by 2023. If progress toward this goal continues, the population of breeding adults in the wild in year x can be approximated by P(x) = 77 e 0.2%, where x = 12 corresponds to the year 2012. Use this model to find the following. (a) P(16) (b) P'(x) and P (16) (c) Interpret the answers in parts (a) and (b). For the function shown...
Problem 1: Greens Functions In class on Wednesday we found that we could solve the position, r(t), of a mass and spring when an arbitrary force is applied using Green's Functions, r(t)= | G(t,T)f(r)dr and that the particular Green's Function for this case is Gu.T)--sin ) wo where w, h/m and Θ(p) is a step function at p = 0. A: Find the position of the mass as a function of time if a force fo is applied for a...
need help all those questions.
10. Solve the following systems of linear differential equations: 11. Determine the Laplace transform of each of the following functions: (a) fe)-2t+1, 0StcI , 21 (b) f(t) te (c) f(t) = cos t cos 2t (Hint: Examine cos(a ± b).) Determine the inverse Laplace transform of each function: 12. (a) F(s) = 52 +9 is Demin 13. Determine L{kt cos kt + sin kt). 0, t< a 14. Determine L(cos 2t)U(t-r), where U(t-a)={ 15. Use...
*Please, answer all the literals and be detailed with the answer
(do all the procedure and calculations)
*Do it with a clear letter
Homework (scattering) 1. Consider the time dependent Schrödinger equation written in the form where 0 2mo As it is well known the temporal evolution of a wave function ψ( t) known at a specific time t is uniquely determined for all future times t, > t as well as for all past times t' < t. Moreover,...
Differential Equations Need Help! Will Rate!
Question 1 (35) 1. Build the characteristic polynomial for the DE z',-4x,-52-0 and find two particular solutions. Here, x' = dx/dt, x" = d2x/dt2. (15) 2. Verify that the two solutions are linearly independent. (5) 3. Build the general solution to the DE as a linear combination of these two solutions. (5) 4. Using the general solution, calculate the solution for the same DE with the initial conditions z(0) 5, x(0) 3. (10) Question...
12.1.19 Determine the location of each local extremum of the function. f(x) = -x - 3x + 9x - 5 What is/are the local minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. at x O A. The local minimum/minima is/are (Use a comma to separate answers as needed. Type integers or simplified fractions.) B. The function has no local minimum. 12.1.27 Find the location of the local extrema of the...
Please answer all 3 questions correctly as they all revolve
around question 1.
Print Name Seat No ECE431 Test 2 November 14, 2016 Closed book exam. No books, notes, or other reference material permitted. No computers, cellphones, or similar devices permitted. Calculators are permitted Problem 1 The closed-loop transfer function of a certain linear system is KF(s) H(s) HK() with s2 +8s 52 (s + 4)2 +36 s(s3 +6s2 28s 40) s(s2)(s2)2 +16 Find the range (if any) of the...
~~~~~~~~~~~~TO BE COMPLETED USING RSTUDIO~~~~~~~~~~~~~~ ~~~~~~~~~~~~(Please display all RCode used)~~~~~~~~~~~~~~ Regression Is there a relationship between the number of stories a building has and its height? Some statisticians compiled data on a set of n = 60 buildings reported in the World Almanac. You will use the data set to decide whether height (in feet) can be predicted from the number of stories. (a) Load the data from buildings.txt. (Note that this is a text file, so use the appropriate...
Answer ALL the questions. Some or all of them shall be marked. Question 1. Consider the following system of differential equations: P.(D) [x] + P (D)) -(0) Px(D) [x] + P (D) x = f(t). (1) How do we determine the correct number of arbitrary constants in a general solution of the above system. (0) Explain briefly the difference between the operator method and the method of triangu- larization when used for solving the above system. Question 2. Determine whether...