MATLAB code
P= P0 * exp(rt)
In this equation,
P= current balance
Р0= initial balance
r= growth constant expressed as a decimal fraction
t = time invested.
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Question 3 When interest is compounded continuously, the following equation repre- sents the growth of your...
Question 3 When interest is compounded continuously, the following equation repre- sents the growth of your savings: P Poe" In this equation, P = current balance Po initial balance r growth constant, expressed as a decimal fraction t time invested. Determine the amount in your account at the end of each year if you invest $1000 at 8% (0.08) for 30 years. (Make a table.) Create a figure with four subplots. Plot time on the eaxis and current balance Pon...
Code to Matlab Make two plots on one page. mo ad tle veloclty as a function...
Code to Matlab
Make two plots on one page. mo ad tle veloclty as a function of time for 0sts4s. 33 The ideal gas equation states that PV RT 400 En van der Waals equation where P is the pressure, V is the volume, T is the temperature, R 0.08206 (L atm) (mol K) is the gas constant, and n is the number of moles. Real gases, especially at high pressures, deviate from this behavior. Their response can be modeled...
where the forward and reverse reaction rates are expressed as Forward rate =-k,[CO][H2ofto2r25 Reverse rate =-k,[CO2]...
where the forward and reverse reaction rates are expressed as Forward rate =-k,[CO][H2ofto2r25 Reverse rate =-k,[CO2] where 1.674- 10J/kmol) kr = 2.24 . 10121 (kmol)-0.751 exp R, T (K) -1.674. 10*J/kmol) R,T(K) k, = 5.0 . 108(-) exp where the brackets represent concentration ie. [CO] is the concentration of our basis CO. Note from the proposed mechanism above, that water (H20) is really acting as a catalyst (it is not consumed or generated in the reaction) and you are interested...
use matlab love you 8.7 If an amount of money A is invested for k years at a nominal annual interest rate r (expressed...
use matlab
love you
8.7 If an amount of money A is invested for k years at a nominal annual interest rate r (expressed as a decimal fraction), the value V of the in vestment after k years is given by V Ar/n where n is the number of compounding periods per year. Write a pro gram to compute V as n gets larger and larger, i.e. as the compounding periods become more and more frequent, like monthly, daily, hourly...
Use the solution you found in Part 1f to show that the Gompertz model can be...
Use the solution you found in
Part 1f to show that the Gompertz model can be rewritten as
dP/dt=−λe^(−rt)P, where λ is a positive constant.
j) Consider grouping the factors in the equation like this:
dP/dt=-(λe^(-rt))P. Make an interpretation of this equation. In
other words, what assumption about tumour growth would lead us to
write down such an equation?
k) Now consider grouping the factors in the equation like this:
dP/dt=−λ(e^(-rt)P). Again, explain what assumption about tumour
growth would lead...
Can someone show step by step how to get P0e^rt from equation (1.4)? Consider a population...
Can someone show step by step how to get P0e^rt from equation
(1.4)?
Consider a population P(t) that is varying with time. A mathematician will say that the rate at which the population is changing with respect to time is given by the derivative dP dt On the other hand, a population biologist will say that the rate of change is roughly proportional to the population. This means that there is a constant r, called the reproductive rate, such that...
PLEASE ANSWER WITH MATLAB CODE AND SOLUTION Problem 3. Question 6.15 The Redlich-Kwong equation of state...
PLEASE ANSWER WITH MATLAB CODE AND SOLUTION
Problem 3. Question 6.15 The Redlich-Kwong equation of state is given by p=- RT V - b v(v + b)VT where R = the universal gas constant (= 0.518 kJ/(kg K)], T = absolute temperature (K), p = absolute pressure (kPa), and v = the volume of a kg of gas (m3/kg). The parameters a and b are calculated by R27 2.5 a=0.427 b=0.0866RI. Pc Pc where pc = 4600 kPa and Tc...
Do the question completely. Especially part C thanks 4. A population P of organisms dies at a constant rate of a or...
Do the question completely. Especially part C
thanks
4. A population P of organisms dies at a constant rate of a organisms per unit time, and the growth rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) = Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The terms Po, a,...
please complete the whole question 4. A population P of organisms dies at a constant rate of a organisms per unit t...
please complete the whole question
4. A population P of organisms dies at a constant rate of a organisms per unit time, and the growth rate is proportional to the population size with the proportionality constant k A. Assume the initial population P(0) = Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answer must contain the terms Po,...
I want matlab code. 585 i1 FIGURE P22.15 22.15 The motion of a damped spring-mass system (Fig. P22.15) is de...
I want matlab code.
585 i1 FIGURE P22.15 22.15 The motion of a damped spring-mass system (Fig. P22.15) is described by the following ordinary differ- ential equation: dx dx in dt2 dt where x displacement from equilibrium position (m), t time (s), m 20-kg mass, and c the damping coefficient (N s/m). The damping coefficient c takes on three values of 5 (underdamped), 40 (critically damped), and 200 (over- damped). The spring constant k-20 N/m. The initial ve- locity is...
Question 3 When interest is compounded continuously, the following equation repre- sents the growth of your savings: P Poe" In this equation, P = current balance Po initial balance r growth constant, expressed as a decimal fraction t time invested. Determine the amount in your account at the end of each year if you invest $1000 at 8% (0.08) for 30 years. (Make a table.) Create a figure with four subplots. Plot time on the eaxis and current balance Pon...
Code to Matlab
Make two plots on one page. mo ad tle veloclty as a function of time for 0sts4s. 33 The ideal gas equation states that PV RT 400 En van der Waals equation where P is the pressure, V is the volume, T is the temperature, R 0.08206 (L atm) (mol K) is the gas constant, and n is the number of moles. Real gases, especially at high pressures, deviate from this behavior. Their response can be modeled...
where the forward and reverse reaction rates are expressed as Forward rate =-k,[CO][H2ofto2r25 Reverse rate =-k,[CO2] where 1.674- 10J/kmol) kr = 2.24 . 10121 (kmol)-0.751 exp R, T (K) -1.674. 10*J/kmol) R,T(K) k, = 5.0 . 108(-) exp where the brackets represent concentration ie. [CO] is the concentration of our basis CO. Note from the proposed mechanism above, that water (H20) is really acting as a catalyst (it is not consumed or generated in the reaction) and you are interested...
use matlab
love you
8.7 If an amount of money A is invested for k years at a nominal annual interest rate r (expressed as a decimal fraction), the value V of the in vestment after k years is given by V Ar/n where n is the number of compounding periods per year. Write a pro gram to compute V as n gets larger and larger, i.e. as the compounding periods become more and more frequent, like monthly, daily, hourly...
Use the solution you found in
Part 1f to show that the Gompertz model can be rewritten as
dP/dt=−λe^(−rt)P, where λ is a positive constant.
j) Consider grouping the factors in the equation like this:
dP/dt=-(λe^(-rt))P. Make an interpretation of this equation. In
other words, what assumption about tumour growth would lead us to
write down such an equation?
k) Now consider grouping the factors in the equation like this:
dP/dt=−λ(e^(-rt)P). Again, explain what assumption about tumour
growth would lead...
Can someone show step by step how to get P0e^rt from equation
(1.4)?
Consider a population P(t) that is varying with time. A mathematician will say that the rate at which the population is changing with respect to time is given by the derivative dP dt On the other hand, a population biologist will say that the rate of change is roughly proportional to the population. This means that there is a constant r, called the reproductive rate, such that...
PLEASE ANSWER WITH MATLAB CODE AND SOLUTION
Problem 3. Question 6.15 The Redlich-Kwong equation of state is given by p=- RT V - b v(v + b)VT where R = the universal gas constant (= 0.518 kJ/(kg K)], T = absolute temperature (K), p = absolute pressure (kPa), and v = the volume of a kg of gas (m3/kg). The parameters a and b are calculated by R27 2.5 a=0.427 b=0.0866RI. Pc Pc where pc = 4600 kPa and Tc...
Do the question completely. Especially part C
thanks
4. A population P of organisms dies at a constant rate of a organisms per unit time, and the growth rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) = Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The terms Po, a,...
please complete the whole question
4. A population P of organisms dies at a constant rate of a organisms per unit time, and the growth rate is proportional to the population size with the proportionality constant k A. Assume the initial population P(0) = Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answer must contain the terms Po,...
I want matlab code.
585 i1 FIGURE P22.15 22.15 The motion of a damped spring-mass system (Fig. P22.15) is described by the following ordinary differ- ential equation: dx dx in dt2 dt where x displacement from equilibrium position (m), t time (s), m 20-kg mass, and c the damping coefficient (N s/m). The damping coefficient c takes on three values of 5 (underdamped), 40 (critically damped), and 200 (over- damped). The spring constant k-20 N/m. The initial ve- locity is...
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