Solve the problem.Find a parametrization for the ellipsoid
+
+
= 1. (Recall that the parametrization of an ellipse
+
= 1 is x = 7 cos ?, y = 8 sin ?, 0 ? ? < 2?).
What will be an ideal response?
Answers will vary. One possibility is
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Factor out the greatest common factor from the expression.
?
?
A.
B.
C.
D.
E.
Write out the first five terms of the sequence.an = 2n
A. 2, 4, 8, 16, 32 B. 1, 4, 9, 16, 25 C. 4, 8, 16, 32, 64 D. 1, 2, 4, 8, 16
Give the domain and range of the relation.Annual New Telemarketing Companies
A. domain: {56, 112, 178, 187, 318}; range: {1995, 1996, 1997, 1998, 1999} B. domain: {1995, 1996, 1997, 1998, 1999}; range: {56, 112, 178, 187, 318} C. domain: {Year}; range: {Number} D. None of these
Let
?
Use a Riemann sum with four subintervals of equal length () to approximate the area of R (under the graph of f on the interval [0, 2]). Choose the representative points to be the left end points of the subintervals.
?
Repeat previous part with eight subintervals of equal length (
).
?
Compare the approximations obtained in previous parts with the exact area (14 sq units). Do the approximations improve with larger n?
?
A. 12.25 sq units; 10.5 sq units; no
B. 10.5 sq units; 12.25 sq units; no
C. 10.5 sq units; 12.25 sq units; yes
D. 12.25 sq units; 10.5 sq units; yes