Solve the problem.For the surface z = f(x,y), show that the surface integral  d? = dxdy.

What will be an ideal response?


Answers will vary. Let r = xi + y j + f(x, y)k.  Then |ru×rv | =  . The assertion follows.

Mathematics

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Solve the problem.Stephanie receives a salary of $650 per month plus a commission of 5.5% on the first $3,000 of sales, and 7% of all sales over $3,000. Find Stephanie's gross pay for the month if her sales were $9,880.

A. $1,506.60 B. $2,781.60 C. $1,296.60 D. $646.60

Mathematics

Provide an appropriate response.An 18 oz box of cereal costs $3.51. Find the constant of direct variation.

A. $0.144 B. $6.32 C. $0.195 D. $5.12

Mathematics

Choose the most reasonable unit of measure.Height of an adult: 5.7  (in., ft, yd, mi)

A. yd B. in. C. mi D. ft

Mathematics

Evaluate the expression for the given value or values.- , for y = -6, z = -3

A. 2 B. 3 C. -3 D. -2

Mathematics