Assignment 2 Question 1 1. Given the function of Pressure: dp = (4V13 - V2dV +...
In a certain region of the atmosphere, the pressure is given as
a function of x, y and z
Consider a fluid moving in this pressure field. The position of
the fluid particle is a function of time and given by
The symbols a, b, H, P and U represent constants.
-Find the wind components u, v, and w ?
-Find the total derivative dp dt according to x, y, z and t. ?
-----
- Find Local acceleration ?...
Differential equations question.
dp/dt = 0.3 (1-p/10) (p/10-2)p
1. (5 points) Consider the given population model, where P(t) is the population at time t A. For what values of P is the population in equilibrium? B. For what values of P is it increasing? C. For what values is it decreasing? : (i-T-YE -2) p dt120 her
2. Given the system T1 1 -T 6 -22 C1 11-1 dt LT2 DP 11-3 (a) Find H(jw) Y(jw)/E(jw) (b) Draw |H(jw) (a) Determine the load impedance Zab that wi mum power if it is connected to terminals a shown in Figure DP 11-3 (b) Determine the maximum power absorbed
Let P(t) be a function and Q(t) be functions. dP/dt = aQ dQ/dt = -bP (1) Find the equilibrium point(s) and discuss their stability. (2) Find the trajectories of P and Q. (3) Solve the system to find P and Q as functions of t.
only 6...7...and 8
The Gibbs function of a thermodynamic system is defined by G H- TS. If the system is consisting of two phases 1 and 2 of a single substance and maintained at a constant temperature and pressure, the equilibriunm condition for the coexistence of these two phases is that the specific Gibbs functions are equal Consider now a first-order phase change between the phase 1 and the phase 2. At the phase boundary, the equilibrium condition for the...
Suppose that the rate of change of a population is given by: dP dt = kP(M-P) a) What model of population growth is this ? b) What does it predict for the growth of the population as the population increases ? c) Sketch what happens to the population if the initial population, Po, were such that G) 0< Po< M/2, (ii) M/2 < PoM and (iii) Po > M (all on the same graph of population as a function of...
MATH 1560 Name IDENTITIES ASSIGNMENT #2 Given the following information, determine the following trigonometric function values in exact form. tan B = -1 sin ß is positive tan a is negative 1. cos(2B) 2. sin(28) cos(a+B) sin(a+B) erify the following identities.
Another model for a growth function for a limited population is given by the Gompertz function, which is a solution of the differential equation dP =cln (1) P dt where c is a positive constant and K is the carrying capacity (a) Solve this differential equation (assume P(0) = Po). (b) As time goes on (to infinity), does the population die off, grow without bound, or settle on some finite number?
Demand for novels is given by Dp) = 60.0 - 1.0p , and the supply function is S(p) = 3.0p. Give all answers to one decimal. 2nd attempt Part 1 (1.3 points) See Hint What is the equilibrium price for novels? $ 15 What is the equilibrium quantity? 45 Part 2 (2 points) See Hint Suppose a $1 per-unit tax is imposed on buyers of novels. Find the equilibrium price buyers pay, the price sellers receive, and the quantity with...
If p is the price in dollars of computer mice at time, t, then we can think of price as a function of time. Similarly, 1. then number of computer mice demanded by consumers at any time, and the number of computer mice supplied by producers at any time, may also be considered as functions of time as well as functions of price. Both the quantity demanded and the quantity supplied depend not only on the price, but also on...