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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Suppose that we are interested in the amount of salt (in kg) at a certain moment in time, denoted by A(t), in a well-mixed, infinitely large tank with 400-L of water initially. Further, suppose we have set-up the experiment such that a salt solution containing 16 kg/L flows into the tank at a rate of 9 L/sec. If we allow the solution to flow out at 6 L/sec, then what is the volume of water in the tank at time t? V(t) = _____? ( (DO NOT use commas in your answer) Construct a model for the change of salt in the tank at time t. [To ensure you are marked correct, please use A to represent the amount of salt in the tank at time t not A(t)]. dA/dot=_________?Find the position x(t) for the particle at time t≥0 given that x(1)=0.
- If X is exponentially distributed with parameter λ and Y is uniformly distributed on the interval [a, b], what is the moment generating function of X + 2Y ?How do i find e(x), var(x) and e(x^3) using the moment generating functionShow mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY
- Assume that your computer completes a 5000 equation back substitution in 0.005 seconds. Use the approximate operation counts n2 for back substitution and 2n3/3 for elimination to estimate how long it will take to do a complete Gaussian Elimination of this size. Round your answer to the nearest second.I need help finding dy/dx for question #9 in Section 3.5, page 215, of the James Stewart Calculus Eighth Edition textbook.In Figure 1.6, suppose another Y observation is obtained at X = 45. Would E{Y} for this newobservation still be 104? Would the Y value for this new case again be 108?
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