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- A basketball player makes a successful shot from the free throw line. Suppose that the path of the ball from the moment of release to the moment it enters the hoop is described by y = 2.15 + 2.09x −0.41x2,0 ≤ x ≤ 4.6 where x is the horizontal distance (in meters) from the point of release, and y is the vertical distance (in meters) above the floor. Use a CAS or a scientific calculator with a numerical integration capability to approximate the distance the ball travels from the moment it is released to the moment it enters the hoop. Round your answer to two decimal places.Last part fxy(x,y)Use variation of parameters to find the general solution of the ODE.
- The assembly for this problem for model S is 0.4 and for model LX 0.5. Can you redo the problem with this information correct?How do I compute a value within 0.01 using linear approximation?A particle moves along the x-axis so that it’s position at any time t≥0 is given by x(t)=t^3−3t^2+t+1. For what values of t, 0≤t≤3, is the particle’s instantaneous velocity the same as its average velocity on the closed interval [0, 3]? Your solution should clearly show all steps leading to the answer as well as justification for it.
- Find the perticular number or orthogonal trajectories of x2+cy2=1 passing through the point (2,1)This is about Determination of Integrating Factor. Show complete solutions.Consider a disease where immunity is lost. On average, aftern days, a recovered person becomes susceptible again. Adjust the equationsfor ds/dt , di/dt, and dr/dt in the SIR model to account for this.
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