Grading and remarks for Lab 8
1.
For question 1 and 2, if your solution is not in terms of α, h, ∆h, then I took
0.5 points away.
For question 3, 1 point for getting an inequality about our function using
the given inequality and 1 point for calculating the limit of the right hand side
function.
For question 4, 1 point for the derivative of V and 1 point for the formula
about dV .
For question 5, 1 point for the value of tan α and 1 point for the value of
dV .
2.
For question 1, 1 point for the implicit differentiation and 1 point for the
solution.
For question 2 and 3, 0.5 points for each answer.
3.
For (a), if you give one or two examples, you will get 1 point, where 0.5
points for the function and its graph and 0.5 for an explanation. If you give
three examples, then you can get the total points.
For (b), 0.5 points for each possible case and 1 point for the impossible case.
For (c), 0.5 points for the example and 0.5 points for explanation.
For (d), 1 point for two critical numbers and 1 point for no extreme values,
and if you did not give a conclusion, then I took 0.5 points away.
4.
0.5 points for the domain, first and second derivative.
0.5 points for the graph.
0.5 points for the global maximum and minimum respectively.
1