Suppose we have a thin bar of length 27, and suppose the bar is fully insulated, including the ends. Suppose the bar has an initial temperature u(r, 0) = 4 cos(6r) + 10. Find a function u(r,t) that describes the temperature of a point a distance r along the bar at time t. Use c=1.

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Q: Hello, can you explain the first section of the question. Thank yu

A: Function f(x,y)  take maximum and minimum value at its critical points

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A: Given graph is a straight line so

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A: Hi thanks you for posting this question  , since you have posted multiple subparts as per our policy…

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Q: 3. Solve for x.

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Q: My question was how to solve it ? I neeed to know how to do it step-by-step too.

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Q: Hi the solution was incorrect

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Q: the question didnt have any other information would you be able to solve part d

A: d) It is given that two standard deviations below from the mean is considered as unusually low.

Q: But what is the value of y? Need the solution for y as a actual number.

A: An equation,

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A: We can solve this as follows:

Q: Does the solution it address the three additional people drawing?

A: It is related to binomial probability : P(X=x) = nCx*px*qx    p= 12/52 = 0.23 q= 1-(12/52) = 0.77

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