EBK MATLAB: AN INTRODUCTION WITH APPLIC
6th Edition
ISBN: 8220103113663
Author: GILAT
Publisher: YUZU
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Chapter 9, Problem 39P
The population growth of species with limited capacity can be modeled by the equation:
where N is the population size, Nmaxis the limiting number for the population, and k, r, and N, are constants. The second term in the equation represent the effect of predation. Consider the case where Nmax= 6,000, k = 0.196 l/yr, r = 40 1/yr, N = 3,000, and N(0) = 50. Determine N for
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: For the gravity concrete dam shown in the figure, the following data are available:
The factor of safety against sliding (F.S sliding)=1.2
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-E1 + VR1 + VR4 – E2 + VR3 = 0 -------> Loop 1 (a)
R1(I1) + R4(I1 – I2) + R3(I1) = E1 + E2 ------> Loop 1 (b)
R1(I1) + R4(I1) - R4(I2) + R3(I1) = E1 + E2 ------> Loop 1 (c)
(R1 + R3 + R4) (I1) - R4(I2) = E1 + E2 ------> Loop 1 (d)
Now that we have loop 1 equation will procced on finding the equation of I2 current loop. However, a reminder that because we are going in a clockwise direction, it goes against the direction of the current. As such we will get an equation for the matrix that will be:
E2 – VR4 – VR2 + E3 = 0 ------> Loop 2 (a)
-R4(I2 – I1) -R2(I2) = -E2 – E3 ------> Loop 2 (b)
-R4(I2) + R4(I1) - R2(I2) = -E2 – E3 -----> Loop 2 (c)
R4(I1) – (R4 + R2)(I2) = -E2 – E3 -----> Loop 2 (d)
These two equations will be implemented to the matrix formula I = inv(A) * b
R11 R12
(R1 + R3 + R4)
-R4
-R4
R4 + R2
Chapter 9 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
Ch. 9 - Prob. 1PCh. 9 - Determine the solution of the equation 3...Ch. 9 - Determine the three roots of the equation...Ch. 9 - Determine the positive roots of the equation...Ch. 9 - The area Aof a circle segment is given by:...Ch. 9 - The position s of the slider as a function of in...Ch. 9 - The van der Waals equation gives a relationship...Ch. 9 - An estimate of the minimum velocity required for a...Ch. 9 - A series RLC circuit with an AC voltage source is...Ch. 9 - For fluid flow in a pipe, the Colebrook-White (or...
Ch. 9 - Using MATLAB’s built-in function fminbnd,...Ch. 9 - A flat rectangular sheet of metal that is 70 in....Ch. 9 - Using MATLAB’s built-in function fminbnd,...Ch. 9 - A prismatic box with equilateral triangular base...Ch. 9 - An RLC circuit with an alternating voltage source...Ch. 9 - A 108-in.-long beam AB is attached to the wall...Ch. 9 - Use MATLAB to calcute the following integrals: (a)...Ch. 9 - Use MATLAB to calculate the following integrals:...Ch. 9 - The speed of a race car during the first 7 s of a...Ch. 9 - A rubber band is stretched by fixing one end...Ch. 9 - Use numerical integration to approximate the size...Ch. 9 - The electric wire that connects the house to the...Ch. 9 - The flow rate Q (volume of fluid per second) in a...Ch. 9 - Prob. 24PCh. 9 - The variation of gravitational acceleration g with...Ch. 9 - An approximate map of Lake Erie is shown in the...Ch. 9 - To estimate the surface area and volume of a...Ch. 9 - Prob. 28PCh. 9 - The orbit of Mercury is elliptical in shape, with...Ch. 9 - Prob. 30PCh. 9 - Use a MATLAB built-in function to numerically...Ch. 9 - Use a MATLAB built-in function to numerically...Ch. 9 - Prob. 33PCh. 9 - Use a MATLAB built-in funtion to numerically...Ch. 9 - The growth of a fish is often modeled by the von...Ch. 9 - A water tank shaped as a cone (R = 2 m, H = 4 m)...Ch. 9 - The sudden outbreak of an insect population can be...Ch. 9 - An airplane uses a parachute and other means of...Ch. 9 - The population growth of species with limited...Ch. 9 - An RL circuit includes a voltage source vs, a...Ch. 9 - Growth of many organisms can be modeled with the...Ch. 9 - The velocity, v, of an object that falls freely...
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