Solve the problem.For a surface parametrized in the parameters u and v and a force F, show that d? =  dudv.

What will be an ideal response?


Answers will vary. Note that  and d? = |ru×rv | dudv. The assertion follows.

Mathematics

You might also like to view...

Find the sum.495.55 + 0.9998 + 20 + 5.48289 + 64.591

A. 586.62269 B. 586.62369 C. 586.72369 D. 585.62389

Mathematics

Solve the problem.Ms. Patterson proposes to give her daughter Claire an allowance of $0.15 on the first day of her 14-day vacation, $0.30 on the second day, $0.60 on the third day, and so on. Find the allowance Claire would receive on the last day of her vacation.

A. $2457.60 B. $8192.15 C. $1228.80 D. $2.10

Mathematics

Write the first four terms of the binomial expansion.(x + 2)16

A. x16  + 32x15 + 960x14 + 8960x13 B. x16 + 32x15 + 480x14 + 4480x13 C. x16 + 32x15 + 960x14 + 4480x13 D. x16 + 32x15 + 480x14 + 8960x13

Mathematics

Find the indicated part of the arithmetic sequence.Find term 16 of the sequence that has a first term of 1 and a common difference of .

A. - 4
B. 6
C.
D.

Mathematics