Consider the two differentiable equation
FIGURE 2.2.15. Solution curves for harvesting a population of alligators.
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Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
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- 4. Determine whether each of these functions from {a, b, c, d} to itself is one-to-one. a) f (a) = b, f (b) = b,ƒ (c) = d,ƒ (d) = c b) f (a) = d, ƒ (b) = b,f (c) = c, ƒ (d) =darrow_forwardQ3 Find the minimum sum-of-products expressions for each of the following functions (d denotes don't care terms). (a) f(A, B, C, D) = Σm(4,11,12,13,14) + Σm(5,6,7,8,9,10) (b) f(A, B, C, D) = Σm(3,11,12,13,14) + Σm(5,6,7,8,9,10) (c) f(A, B, C, D) = m(1,2,4,13,14) + Σm(5,6,7,8,9,10) (d) f(A, B, C, D) = Σm(4,15) + Σd (5,6,7,8,9,10)arrow_forwardWhat is the other canonical form of the giver equation? F(x.y.z) = E m (0,1,2,3,4,5,6,7)arrow_forward
- 6. (Stein's lemma) Suppose that X is normally distributed with mean u and variance o2. If g is a continuously differentiable function such that E{g(X)(X- µ)} and E{dg(X)/dx} both exist, prove that E{g(X)(X – u)} = o²E{dg(X)/dx}.arrow_forwardSimplify the following Boolean functions using four-variable K-maps: C: F(w,x,y,z)=sum (1,3,4,5,6,7,9,11,13,15)arrow_forwardQ4: Write the parametric equation of revolution surface in matrix form only which generated by rotate a Bezier curve defined by the coefficient parameter in one plane only, for the x-axis [0,5, 10,4], y-axis [1,4,2,2] respectively, for u-0.5 and 0 = 45° Note: [the rotation about y-axis].arrow_forward
- Simplify the following Boolean functions, using three-variable K-maps: F(x, y, z)=Σ(1, 2, 3, 7)arrow_forwardUse the dsolve() function to solve the differential equation 8Dy3(t) = cos(20t) + sin(2t) for initial conditions y(10) = 50, Dy(0) = 0, Dy2(0) = 0, and y(10) = 5, Dy(0) = 0, Dy2(0) = 3. Plot your solutions on a single figure as a solid curve for the first set initial conditions and a dotted curve fo rthe second set of initial conditions for time t = -10 to 20. Make sureu to label both axes and title your figure, and turn on the plotting legend. Set teh y-axis limits to [-150 200].arrow_forward3) Simplify the following Boolean functions, using K-maps. F(w, x, y, z) = (1, 3, 4, 5, 6, 7, 9, 11, 13, 15)arrow_forward
- 7. Solve with Python. A peristaltic pump delivers a unit flow (Q₁) of a highly viscous fluid. The network is depicted in the figure. Every pipe section has the same length and diameter. The mass and mechanical energy balance can be simplified to obtain the flows in every pipe. Solve the following system of equations to obtain the flow in every pipe using matrix inverse. S Q₂ 0₂ le 0₂ 90 Q₁+ 20-20-0 Qs+ 206-20-0 307-206-0arrow_forwardSolved this questionarrow_forward5arrow_forward
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole