Surface Area In Exercises 63-68, find the area of the surface generated by revolving the curve about each given axis. x = 2 t , and y = 3 t , 0 ≤ t ≤ 3 (a) x − axis (b) y − axis
Surface Area In Exercises 63-68, find the area of the surface generated by revolving the curve about each given axis. x = 2 t , and y = 3 t , 0 ≤ t ≤ 3 (a) x − axis (b) y − axis
Solution Summary: The author calculates the area of surface generated by revolving the curve about x -axis using parametric equations.
2. (5 points) Let f(x) =
=
-
-
- x² − 3x+7. Find the local minimum and maximum point(s)
of f(x), and write them in the form (a, b), specifying whether each point is a minimum
or maximum. Coordinates should be kept in fractions.
Additionally, provide in your answer if f(x) has an absolute minimum or maximum
over its entire domain with their corresponding values. Otherwise, state that there is no
absolute maximum or minimum. As a reminder, ∞ and -∞ are not considered absolute
maxima and minima respectively.
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