Parametric Equations of a Line through a Surface
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Consider the surface
and the point on this surface.
A. Starting with the equation , find equations for y and z which combine with this equation to give parametric equations for the normal line through P.
Note: Your answers should be expressions of t; e.g. "3x - 4y"
B. Find an equation for the tangent plane through P.
Please see the attached file for the fully formatted problems.
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Parametric Equations of a Line through a Surface are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
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Consider the surface
and the point on this surface.
A. Starting with the ...
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
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- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
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