S000 for the data and calculate E (P) Exercise 9: Find a curve fit y P(t)1+ Ce 3 2 1 0 t 2800 1000 500 1800 y...

Question

Question

Answer 1

Answer #1

$ti, y){(0,500), (1,1000), (2, 1800), (3, 2800)$ is the data which we want to fit to the curve

$5000 yP(t) 1+CeAt$

Using the function fit functionality in Matlab, we get:

Command Window >> x=[0,1, 2,31; %xt y [500,1000,1800,2800]; FT-fittype (5000/ (1+C*exp (A*x)) ); %y=P (t) =P (x) f0-fit (x

And so we get the model as 5000 yP(t) 1+9.0282e-0.8135t

The data points together with the model curve approximation is given below:

X 3000 500 0 (3, 2800 1000 1 1800 2 2800 3 2000 (2.1800 5000 1+9,0282e-0.8135x 1000 (1,1000) (0,500 Label: 4 X 0 2 4 powered

Answer 2

Similar Homework Help Questions

Exercise 6: Given the table of the function f(x)-2" 2 X 0 3 2 f(x) 1 2 4 8 a) Write down the Newton polynomial...

Exercise 6: Given the table of the function f(x)-2" 2 X 0 3 2 f(x) 1 2 4 8 a) Write down the Newton polynomials P1(x), P2(x), Pa(x). b) Evaluate f(2.5) by using Pa(x). c) Obtain a bound for the errors E1(x), E2(x), Es(x) Exercise 7: Consider f(x)- In(x) use the following formula to answer the given questions '(x) +16-30f+16f,- 12h a) Derive the numerical differentiation formula using Taylor Series and find the truncation error b) Approximate f'(1.2) with h-0.05...
T Find the length of the curve e' cos(t) e' sin(t) for 0 < t <...

T Find the length of the curve e' cos(t) e' sin(t) for 0 < t < 2 y (Hint: You can simplify the integrand by expanding the argument inside the square root and applying the Pythagorean identity, sinº (0) + cos²O) = 1.)
Exercise B1: Biological Growth Data In this exercise bacteria se students will work with "SAMPLE DATA...

Exercise B1: Biological Growth Data In this exercise bacteria se students will work with "SAMPLE DATA #B1" given in the table below, showing population as a function of time Steps e # of cycles needed (are there 1's, 10%, 100's, 1000's in the data?) the graph with sensible and labeled axes and with clearly visible (unconnected) points (1) determin (3) draw a best-fit line "by eye" (5) inspect the best-fit line for y-intercept, No (the bacteria population at t =...

1. Given the following data, answer all questions Y 5000 G-1000 T 1000 C-250+0.75 (Y-T 1000-50...

1. Given the following data, answer all questions Y 5000 G-1000 T 1000 C-250+0.75 (Y-T 1000-50 a. Calculate: Consumption Private Saving Public Saving- National Saving Investment- b. Calculate the equilibrium interest rate:r c. Assume G increases to 1,250. Calculate: Consumption Private Saving- Public Saving National Saving- d. Calculate the new equilibrium interest rate: Now open the economy to NX: NX 500-500 E Investment- e. Calculate: Consumption Private Saving = Public Saving- National Saving Investment- The trade balance- Equilibrium exchange rate-...
1. Suppose an economy is represented by the following equations: C=500+.75(Y-T) I=1000 -50r (M/P)d=Y-200r G=1000 T=1000...

1. Suppose an economy is represented by the following equations: C=500+.75(Y-T) I=1000 -50r (M/P)d=Y-200r G=1000 T=1000 M=6000 P=2 Use these equations to derive both the IS and LM curves. Suppose that a newly elected president cuts taxes by 20%. Assuming that the money supply is held constant, what is the equilibrium interest rate in this economy? Round your answer to the nearest tenth. Do not use a percent sign when entering your answer. Your answer should not be given as...
Find the length of the curve x=2/3t^3 , y=4t^2 on 0<=t<=3

Find the length of the curve x=2/3t^3 , y=4t^2 on 0<=t<=3

Find the best line y = c+dt to fit y = 1, 1, 2, 2 at...

Find the best line y = c+dt to fit y = 1, 1, 2, 2 at times t=-1, 0, 1, 2. (Use the least squares approximation.) 9
tion? (2) Calculate E(X), E(X2), and Var(X). (3) Calculate F(a) P(X s a) for a (0, 1]. (4) Let Y =-log X. Calculate F(y)-P(Y v) for u 20. Calculate the density of Y. tion? (2) Calculate E(X...

tion? (2) Calculate E(X), E(X2), and Var(X). (3) Calculate F(a) P(X s a) for a (0, 1]. (4) Let Y =-log X. Calculate F(y)-P(Y v) for u 20. Calculate the density of Y. tion? (2) Calculate E(X), E(X2), and Var(X). (3) Calculate F(a) P(X s a) for a (0, 1]. (4) Let Y =-log X. Calculate F(y)-P(Y v) for u 20. Calculate the density of Y.
(3) Solve the IVP + 6y(t) + 9 Sy()dt = 1, y(0) = 0. (4) Find...

(3) Solve the IVP + 6y(t) + 9 Sy()dt = 1, y(0) = 0. (4) Find a(t) that satisfies e(t) = e-t +S* sinh(t – 7)2(7) dt.

(The integral of a Gaussian/Bell curve) Let Exercise 34: e~t2(1+z2) -dz 12 da f(t) and g(t) = e and h(t) f(t2 g(t) 1 Pr...

(The integral of a Gaussian/Bell curve) Let Exercise 34: e~t2(1+z2) -dz 12 da f(t) and g(t) = e and h(t) f(t2 g(t) 1 Problem sheet 9 Homework 29. Mai 2019 a) Compute h(0). b) Compute h'(t) for all t > 0 Remark: You have to argue why you can interchange differentiation and integration c) Compute lim4-,00 h(t) d) Use a) c) to show that 1 d 1 VT JR da and 2 Remark: The elegant proof of the integral of...