Find the approximate change in z when the point
changes from
to
.
?
; from
to
?
A. -0.004
B. ?0.002
C. ?-0.04
D. ?0.004
E. ?-0.008
Answer: D
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Determine whether F is conservative.F(x,y, z) = (5y - 15x sin z)i + (5x + 15 cos z)j + ezk
A. conservative B. not conservative
Convert the measure to the one that is underlined and then subtract.7.6 hL - 154 dL
A. 7.446 hL B. 6.06 hL C. 74.46 hL D. 7446 hL
Solve the problem.Marianne is planning a shopping trip to buy birthday gifts for her son. She estimates that the total price of the items she plans to purchase will be between $350 and $400 inclusive. If sales are taxed at a rate of 8.375% in her area, what is the range of the amount of sales tax she should expect to pay on her purchases? If Marianne's budget for the shopping trip is $425, will she necessarily be able to buy all the gifts that she has planned?
A. $29.31 ? x ? $33.50, where x represents the amount of sales tax; Yes. B. $29.31 < x < $33.50, where x represents the amount of sales tax; Yes. C. $29.31 ? x ? $33.50, where x represents the amount of sales tax; No. D. $29.31 < x < $33.50, where x represents the amount of sales tax; No.
Evaluate the integral by making a substitution and then using a table of integrals.
A. + 18 ln
+ C
B. + 18 sin-1
+ C
C. + 18 ln
+ C
D. 18 sin-1 + C